If there are several versions of a talk, the
later version is usually the more 'complete' (ie, correct) version.
- Coronavirus Lectures (see also my math riddles
page:
https://mathriddles.williams.edu/)
- From Pythagoras to Pi: Part I:
https://youtu.be/JHvmP-1KXYc (slides here).
Given to 7th grade son who is in Algebra I. 41 minutes
- From Pythagoras to Pi: Part II:
https://youtu.be/ISo8kXDP-6U (slides here).
Given to 7th grade son who is in Algebra I. 27 minutes
- What do you MEAN?
https://youtu.be/jBKZaCxpgSE (word file
here, pdf here) (3/19/2020): Comfort
with Algebra sufficient: 40 minutes
- Shoe size and age:
https://youtu.be/aDxdDifvlKM (word file
here, pdf here) (3/20/2020): Just
need to be able to multiply and add, say grade 1 or 2 and up: 20 minutes
- Mono-variants:
https://youtu.be/PbZhVLXyatY (powerpoint
here, pdf here)
(3/23/2020): Grade 5 and up: 28 minutes
- I Love Rectangles Game:
https://youtu.be/JHtrzARHwHU (powerpoint
here, pdf
here) (3/24/2020): Aimed for K, should be good for all ages. 13
minutes
- From Pascal to Calculus: Part I:
https://youtu.be/dv15VTyEWyQ (powerpoint
here, pdf
here) (3/25/2020): For those knowing Algebra I (equations of lines):
52 minutes
- From Pascal to Calculus: Part II:
https://youtu.be/D6OnleQJ1XM (powerpoint
here, pdf
here) (3/26/2020): For those
knowing Algebra I (equations of lines): 40 minutes
- Games: Tic Tac Toe, Chocolate Bar, Coins, Devil:
https://Mathyoutu.be/4Kvx-JHBvs0
(slides here)
(3/27/2020): Much of it can be done with K, 2nd and higher to be safe: 38
minutes
- Induction and Sums: Part I: Induction
https://youtu.be/3orVsQECaag (powerpoint
here,
pdf here)
(3/30/2020): Assuming Algebra I: 32 minutes
- Induction and Sums: Part II: Geometric Series Formula
https://youtu.be/CJjglF65x6g (powerpoint
here,
pdf here): (3/31/2020): Assuming
Algebra I: 25 minutes
- Induction and Sums: Part III: From the Geometric Series Formula to
Primes https://youtu.be/UWNM8EtzoMI (powerpoint
here,
pdf here) (4/4/2020): Assuming
Algebra:
22 minutes
- The Three Hat Problem and Error Correcting Codes:https://youtu.be/oMeKf7AhAa4 (powerpoint
here,
pdf here) (4/6/2020): Aimed for
3rd Grade and up: 26 minutes
- How to Attack Problems I: We WILL Cross That Bridge:
https://youtu.be/JH6uxmgWoFQ (powerpoint
here,
pdf here) (4/8/2020):
Aimed for 4th Grade and up: 20 minutes
- How to Attack Problems II: Legal 21:
https://youtu.be/dlBVLlt4PPA (powerpoint
here,
pdf here) (4/9/2020):
Aimed for 4th/5th Grade and up: 14 minutes
- Polynomials and Applications: Part I: Lecture 1: Lines:
https://youtu.be/NNxBhUTzexA (powerpoint
here,
pdf here) (4/10/2020): Aimed at 6th/7th
grade and up: 9 minutes
- Polynomials and Applications: Part 2: Lecture 2: Introduction to Quadratics:
Plotting, Simple Examples and Roots:
https://youtu.be/bkIWsNcw-bU (powerpoint
here,
pdf here) (4/13/2020):
Aimed at 7th grade and up: 17 minutes
- Polynomials and Applications: Part 2: Lecture 3: Introduction to Quadratics:
Plotting, Simple Examples and Roots:
https://youtu.be/u8Xx7r0VrJ4 (powerpoint
here,
pdf here) (4/14/2020):
Aimed at 7th grade and up: 18 minutes.
- Polynomials and Applications: Part 2: Lecture 4: Application 1:
Trajectories:
https://youtu.be/hAw9vSNMzhg (powerpoint
here,
pdf here) (4/15/2020):
Aimed at 7th grade and up: 24 minutes.
- Polynomials and Applications: Part 3: Lecture 5: Application 2:
Fibonacci Numbers:
https://youtu.be/WB9gLTASXCw (powerpoint
here,
pdf here) (4/16/2020):
Aimed at 7th grade and up: 24 minutes.
- Polynomials and Applications: Part 4: Lecture 6: Application 3:
Recurrence Relations and Gambling!
https://youtu.be/Esa2TYwDmwA (4/17/2020):
Aimed at 7th grade and up: 7 minutes
- Polynomials and Applications: Part 5: Lecture 6: Application 4:
Finding Trajectories (revisited)
https://youtu.be/7bfeNy4XW5I (powerpoint
here,
pdf here) (4/21/2020):
Aimed at 7th grade and up: 10 minutes
- Polynomials and Applications: Part 6: Lecture 7: Application 5: Codes:
https://youtu.be/wSEXv5PXxu0 (powerpoint
here,
pdf here) (4/24/2020):
Aimed at 7th grade and up: 11 minutes
- Introduction to Probability: Part 1: The Factorial Function:
https://youtu.be/Un3tWIX-kDY (powerpoint
here,
pdf here) (4/27/2020):
Aimed at 7th grade and up: 13 minutes
- Introduction to Probability: Part 2: Permutations:
https://youtu.be/hhYtkpcQQAY (powerpoint
here,
pdf here) (4/29/2020):
Aimed at 7th grade and up: 11 minutes
- Introduction to Probability: Part 3: Combinations:
https://youtu.be/8w8HWvhWM34 (powerpoint
here,
pdf here) (4/29/2020):
Aimed at 7th grade and up: 19 minutes
- Introduction to Probability: Part 4: Darth Vader Problem:
https://youtu.be/qsUYmXGgngE (powerpoint
here,
pdf here) (5/4/2020):
Aimed at 7th grade and up: 19 minutes
- Introduction to Probability: Part 5: Double Sixes Problem:
https://youtu.be/zJTaXORiH9o (powerpoint
here,
pdf here) (5/6/2020):
Aimed at 7th grade and up: 15 minutes (re-recorded; no TAs)
- Introduction to Probability: Part 6: Long Suits:
https://youtu.be/-iWWLLlCRy4 (powerpoint
here,
pdf here) (5/8/2020):
Aimed at 7th grade and up: 18 minutes
- Introduction to Probability: Part 7: Long Suits:
https://youtu.be/ke5RLxIW6v4 (powerpoint
here,
pdf here) (5/11/2020):
Aimed at 7th grade and up: 18 minutes
- Introduction to Probability: Part 8: All trump, Poker:
https://youtu.be/InhvzliUb4I (powerpoint
here,
pdf here) (5/13/2020):
Aimed at 7th grade and up: 15 minutes
- Introduction to Probability: Part 9: Advanced Combinatorics:
https://youtu.be/WFcEQeCoG5k (powerpoint
here,
pdf here) (5/19/2020):
Aimed at 7th grade and up: 16 minutes
- Talks Online
- Additive Number Theory:
- Applied Mathematics:
- Calculus Lectures
- Cryptography:
VCTAL Lectures Burlington 2019: Introduction to
cryptography, error detection / correction.
- Education
- Pascal's triangle modulo 2:
https://youtu.be/_vkGakVt1RA
- From M&Ms to Mathematics, or, How I learned to answer questions and love
math.
https://www.youtube.com/watch?v=0lVSEmgeOsI (slides
here)
- Why Cookies And M&Ms Are Good For You (Mathematically).
http://youtu.be/tr6Hb3DGooU
(slides here)
- Why more is better: The power of multiple proofs.
http://youtu.be/XwnzWOc3_-0 (slides
here, homework
and research problems here).
- Extending the Pythagorean Formula: http://youtu.be/idIHcgapMG4 (slides
here)
- Secrets of the Tax System with Steve Miller: Keep More of Your MOOLA:
ADD VIDEO LATER (9/19/16: slides
here)
- Advanced Math Course Sharing: Proof of Concept: LACOL 2017 Consortium
Workshop: June 16, 2017:
http://lacol.net/shared-math/
- LaTeX tutorial:
http://www.youtube.com/watch?v=dKUtJpG4Rt0 (webpage with templates
here)
- Mathematica tutorial:
https://www.youtube.com/watch?v=g1oj7CIqGM8 (webpage with templates
here)
-
Inrtoduwtion to Erorr Dwtetcion and Czorrectmon,
TCNJ Math Camp, July 14, 2019. MathFest, August 1, 2019.
pdf
(video: https://youtu.be/RPWMAqPhv6w)
UNFORTUNATELY the video did not advance the slides (talk about errors to
correct, though the audience saw the slides advance). I tried to record the
audio with the slides advancing at home, but it garbled the audio! So, here's
how you correct the error. Play the video from https://youtu.be/RPWMAqPhv6w
but ONLY play it for the audio, ignore the video! Start that at 40 seconds.
Now play the video from
https://youtu.be/P6I0Z9CFPcQ BUT start that at 20 seconds and have that on
mute! Thus you listen to the audio from the first to the video of the second.
40 minute version: Michigan Math Club (10/1/21):
pdf
(video:
https://youtu.be/tuL0K1XtGBE)
- Solving the Rubik's cube (thanks Alan Chang and Umang Varma!):
- Calculus Continuing Education Lectures:
Wellesley High School
- Part 1: October 13, 2017
- Review of differentiation, exponential function, need for proofs,
Russell's paradox, inverse funcctions:
https://youtu.be/8jmrccy5_Xc
- Inverse trig functions, trigonometry in a minute, trig differentiation,
birthday problem:
https://youtu.be/jckjVogsSKs
- Big No's in math, 0 * oo = -1, Babylonian multiplication, Horner's
algorithm, Newton's method, Divide and conquer:
https://youtu.be/piUHHHCW3lw
- Stacking dominoes, harmonic series, integral test, egg drop problem:
https://youtu.be/75AtD14hlA4
- Part 2: December 15, 2017
- Sequences and series: Convergence, Geometric series, Term by term
differentiation, Differentiating Identities, IVT, MVT, Fund Thm Calculus:
https://youtu.be/sQhZdfFL_Zk
- First order Taylor theorem, Taylor with remainder, Streaming Video,
Fibonacci Numbers:
https://youtu.be/H5BdJGfOkRc
- Fibonacci and recurrence relations, Binet's formula: divine inspiration
and generating functions, Applications, Zeckendorf's theorem, Matrix
formulations:
https://youtu.be/GCNmLKIrL-k
- Riemann zeta function, Infinitude of primes, Local to global principle;
more generating functions, 3x+1, Look and say:
https://youtu.be/Cbvj5nN4nZ0
- Part 3: January 29, 2017
- Zombie Mathematics, Monovariants, Tic-Tac-Toe, Sperner Games, Nash
Equilibria, Fixed Point Theorems:
https://youtu.be/AAyAiW36O-k
- Zeckendorf games and monovariants, Method of Least Squares:
https://youtu.be/S-t_455zfb8
- Drowning Swimmer Problem, the AM-GM, Farmer Fencing Optimization:
https://youtu.be/GR-IsFMUmB8
- Fundamental Theorems, Stirling's Formula, Central Limit Theorem:
https://youtu.be/7IzrTTBLh-8
- L-Functions and Random Matrix Theory:
- Number Theory and Probability
- Teachers as Scholars Lectures 2020: March 18th,
April 1st and April 2nd (two different classes)
- From Zombies to Fibonaccis: An Introduction to the Theory of Games. TCNJ
Math Camp, July 16 and 29 (Part I) and 17 and 30 (Part II), 2018. pdf
Hampshire College, July 24, 2018. pdf
Teachers as Scholars:
https://youtu.be/RaajCJ8Zfv0 (3/18/2020)
-
From C to Shining C: Complex Dynamics from Combinatorics to Coastlines, Maritime
Studies Program of Williams College and Mystic Seaport, Mystic, CT, October
20, 2017. pdf
(video here: https://youtu.be/TMILk79N_Bs):
TAS: https://youtu.be/_qT-VbzpkPM
(3/18/2020)
-
Inrtoduwtion to Erorr Dwtetcion and Czorrectmon, slides
here: pdf TAS:
https://youtu.be/BxHXUBxzOJs (3/18/2020)
-
Introduction to Cryptography: Alphabet codes
https://youtu.be/KF_zRLNcmHQ,
Vigenere, Primes, and RSA definition
https://youtu.be/7NG66oHUxnA
(slides pdf) (4/1/2020)
-
Introduction to Cryptography: Fermat's little
Theorem https://youtu.be/U5GSLF7wlPc,
Horner's Algorithm and Fast Multiplication
https://youtu.be/p2GdoKELCJk,
Euclidean Algorithm and implementing RSA
https://youtu.be/ckjwHS8qMeY
(slides
pdf) (4/1/2020)
- Mono-variants and Zombies:
https://youtu.be/O9bYbPhTFEM (powerpoint
here,
pdf here): Grade 5 and up
(4/2/2020)
- What do you MEAN?
https://youtu.be/nu-RzXNz9LQ (word file
here,
pdf here): Comfort with
Algebra sufficient
(4/2/2020)
- Extending Pythagoras
https://youtu.be/W1gN9YI84TE
(slides:
pdf) (4/2/2020)
- I Love Rectangles Game:
https://youtu.be/W4L5rjrq2Ns (powerpoint
here,
pdf here): Aimed for K,
should be good for all ages.
(4/2/2020)
- Games: Tic Tac Toe
https://youtu.be/27_w9cQDz-Q, Chocolate Bar
https://youtu.be/pKsPPo75xNc,
Triangle game and Chomp
https://youtu.be/yJ_-GZnM6QQ
(slides here): Much of it can be done with K, 2nd and higher to be safe
(4/2/2020)
- Bonus Talks
- From M&Ms to Mathematics, or, How I learned to answer questions and love
math.
https://www.youtube.com/watch?v=0lVSEmgeOsI (slides
here)
- Why more is better: The power of multiple proofs.
http://youtu.be/XwnzWOc3_-0 (slides
here, homework
and research problems here).
-
The German Tank Problem: Math/Stats At War, University
of Connecticut Math Department Awards Dinner, April 26, 2019. pdf
Hampshire College, July 8, 2019. pdf (Hampshire
College talk: https://youtu.be/IOcI2c3QQbw)
Yale University, September 27, 2019. pdf (video: https://youtu.be/nZJUbwC_bTw).
The Christie Lecture, NES/MAA Fall 2019 Meeting, 11/22/2019. pdf
(video: https://youtu.be/I3ngtIYjw3w)
Penn State, October 29, 2020
pdf (video: https://youtu.be/1N2IhpifwAk).
- Random Matrix Theory and
\(L\)-Functions
- Random Matrix Theory and \(L\)-Functions I: Analytic
Number Theory Seminar, Ohio State (10/20/03): pdf
- Random Matrix Theory and \(L\)-Functions II: Analytic
Number Theory Seminar, Ohio State (10/27/03):
pdf
- From Random Matrix Theory to \(L\)-Functions: Special
Number Theory Seminar, Tel Aviv (12/23/04):
pdf (see also the expanded talk given in Utah in 2009 below)
- Identifying Symmetry Groups of Zeros of Families of \(L\)-Functions:
Number Theory and Random Matrix Theory Workshop, CMS
Summer 2005, Waterloo (6/1/05):
ps
pdf;
tabbed version
ps
dvi
- Identifying and breaking the symmetry group of zeros of families of
\(L\)-functions: Number Theory Seminar, CUNY Lehman
(10/20/06): pdf
- A Symplectic Test of the \(L\)-Functions Ratios Conjecture:
Algebra Seminar, Brown University (9/17/07): paper.pdf
AMS Special Session on \(L\)-functions and automorphic
forms, Courant (20 minute version, 3/16/08):
pdf tabbed version
pdf Johns Hopkins University (50 minute
version, 4/4/08):
pdf (untabbed version:
pdf); Cornell University (50 minute version, 6/5/08):
pdf (untabbed version:
pdf).
-
From Random Matrix Theory to \(L\)-Functions: Graduate
Workshop on Zeta Functions, \(L\)-Functions and their Applications, Utah Valley
University, June 2, 2009: pdf I've created a
webpage with links to talks and papers related to this conference; click
here for these papers and links.
-
Random Matrix Theory and Number Theory: Progress report from 2009 SMALL REU
at Williams College (final presentation of my students John Goes, Steven
Jackson, David Montague, Eve Ninsuwan, Ryan Peckner and Vincent Pham):
Williams College (8/11/09):
pdf
-
Low Lying Zeros of Number Field \(L\)-Functions (presented by Ryan Peckner).
Young Mathematicians Conference, Ohio State
(8/29/09):
pdf
-
Tests of the \(L\)-Functions Ratios Conjecture. Maine - Quebec
Number Theory Conference (10/3/09):
pdf
Rutgers University (expanded version, 3/2/10):
pdf
- The n-level density of zeros of quadratic Dirichlet \(L\)-functions (presented by Jake Levinson), Young Mathematicians Conference, August 19, 2011. pdf
- Low-lying zeros of cuspidal Maass forms (presented by Oleg Lazarev and Liyang Zhang), Young Mathematicians Conference, August 20, 2011. pdf Maine-Quebec Number Theory Conference, October 2, 2011. pdf
- Determinantal Expansions in Random Matrix Theory and Number Theory (with
Nicholas Triantafillou), Maine-Quebec Number Theory Conference,
September 29, 2012.
pdf
(trimmed
pdf)
- Low-lying zeros of cuspidal Maass forms (blackboard talk given by Levent
Alpoge), Maine-Quebec Number Theory Conference,
September 29, 2012.
- Low-lying zeros of GL(2) \(L\)-functions, University
of Michigan, October 22, 2012.
part 1
part 2
- Low-lying zeros of GL(2) \(L\)-functions, AMS Special
Session on Arithmetic Statistics, I, Joint Meetings SD, January 10, 2013
(includes excised orthogonal ensemble for elliptic curves and results for
holomorphic cuspidal newforms and Maass forms).
pdf Expanded Version: Quebec-Vermont
Number Theory Seminar, Concordia University, March 21, 2013.
pdf
- Newman's Conjecture for Automorphic and Function Field \(L\)-functions
(presented by Alan Chang), Maine-Quebec Number Theory
Conference (10/5/13).
pdf;
CANT May 28, 2014
pdf
(video online here).
- The \(n\)-Level Density of Dirichlet \(L\)-Functions (presented by Kyle
Pratt and Minh-Tam Trinh), Maine-Quebec Number Theory
Conference (10/5/13).
pdf
- Problems in the
theory of low-lying zeros, Simons Symposium on Families of
Automorphic Forms and the Trace Formula, Puerto Rico, January 27, 2014.
pdf
Results in the theory of low-lying zeros,
Simons Symposium on Families of Automorphic Forms and the Trace Formula,
Puerto Rico, January 28, 2014.
pdf
- Biases in Moments of
Satake Parameters and Models for L-function Zeros (with Kevin Yang),
Maine-Quebec Number Theory Conference, October 3, 2015.
pdf
- Biases in Moments of
Satake Parameters and in Zeros near the Central Point in Families of
L-Functions,
Computational Aspects of L-functions, ICERM, Providence, RI (11/10/15).
pdf
- Gaps Between Zeros of
GL(2) L-functions,
Southern New England Conference on Quadratic Forms and Modular Forms, June
2, 2016.
pdf
- Extending Agreement in the
Katz-Sarnak Density Conjecture (joint with Peter Cohen and Roger Van Peski),
Quebec-Maine Number Theory Conference, October 8, 2016.
pdf
- One-level density for
holomorphic cusp forms of arbitrary level, 31st Annual
Workshop on Automorphic Forms, ETSU, Mar 6, 2017.
pdf
- Lower Order Biases in
Fourier Coefficients of Elliptic Curve and Cuspidal Newform families (with
Jared Lichtman, Eric Winsor and Jianing Yang), Maine-Qu\'ebec Number
Theory Conference, October 14, 2017.
pdf
MASON VI, March 17, 2023.
pdf
- Variance of Gaussian
Primes Across Sectors and The Hecke L-Function Ratios Conjecture (with Yujin
Kim and Shannon Sweitzer), Maine-Qu\'ebec Number Theory Conference,
October 14, 2017.
pdf
- Lower Order Terms for the
Variance of Gaussian Primes across Sectors (given by Ezra Waxman),
32nd Autormorphic Forms Workshop, Tufts University, May 22, 2018.
pptx
pdf
- Optimal Test Functions for
n-Level Densities and Applications to Central Point Vanishing (with Charles
Devlin VI), Maine-Qu\'ebec Number Theory Conference, October 5, 2019.
pdf
(video:
https://youtu.be/I4j374CQgfg)
- How Low Can We Go?
Understanding Zeros of L-Functions Near The Central Point, New York
Number Theory Seminar, February 18, 2021.
pdf
- The Katz-Sarnak
Density Conjecture and Bounding Central Point Vanishing of L-Functions,
Second Int'l Webinar: Recent Developments in Number Theory, School of
Applied Sciences (Mathematics), Kalinga Institute of Industrial Technology
University, Bhubaneswar, India, October 3, 2021.
pdf
(video:
https://youtu.be/dsdMFl0yPfw) University of Rochester, November 5, 2021
pdf
(video:
https://youtu.be/zDJasLIaXhY)
-
The Katz-Sarnak
Density Conjecture and Bounding Central Point Vanishing of L-Functions
(expanded version with improved bounds), Upstate New York Number
Theory Conference, Rochester, NY April 2, 2023.
pdf
(video: https://youtu.be/Be3zNr4kKVw)
(20 minute version) 35th Automorphic Forms Workshop, LSU May 23, 2023.
pdf
-
Combinatorics in Analyzing L-Function Coefficients and
Applications to Low-Lying Zeros, Special Session in Number Theory in
Celebration of the 70th Birthday of Ram Murty, CMS Summer Meeting, 4 June
2023.
pdf
(video: )
- Upper Bounds for the
Lowest First Zero in Families of Cuspidal Newforms, 36th Automorphic
Forms Workshop, Oklahoma State University, May 21, 2024.
pdf
(talk:
https://youtu.be/imMo7_yUDxs)
- Group Theory in Compound
Families of L-Functions, Zassenhaus Groups and Friends Conference,
Texas State University, June 2, 2024.
pdf
(talk:
https://youtu.be/-dASMp-nK90)
- Random Matrix Theory and Elliptic Curves
- 1 and 2 Level Density Functions for Families of Elliptic Curves:
Evidence for the Underlying Group Symmetries.
(Thesis defense) Princeton (5/26/02), Number Theory
Seminar Ohio State (5/30/02):
pdf Boston University (2/10/03):
pdf
- Evidence for a Spectral Interpretation of the Zeros of Families of
Elliptic Curves. Joint meeting of the AMS and UMI Pisa
(6/13/02):
pdf
title Shorter version (20 minutes): AMS
Sectional, Salt Lake City (10/27/02):
dvi
pdf
- Random Matrix Theory and Elliptic Curves: Evidence for the Underlying
Group Symmetries (with three appendices). Johns
Hopkins University (3/3/04):
pdf An alternate version: Five
College Number Theory Seminar, Amherst, MA, (4/20/04):
pdf
- Random Matrix Theory models for zeros near the central point (and
applications to elliptic curves) (45 minutes) Workshop
on Spectral Theory and Automorphic Forms, Montreal,
May 2004.
ps. An alternate version (60 minutes):
Boston University (2/10/03):
ps Brown University (9/13/04 - expanded):
dvi
pdf Another alternate version: (120 minutes)
Fellowship of the Ring Seminar, Brandeis University
(4/1/05):
ps
pdf; tabbed version
ps
dvi. Another alternate version (30 minutes),
Advances in Number Theory and Random Matrix Theory,
Rochester, NY (6/7/06):
pdf; tabbed version
pdf; paper
the talk is based on (to appear in Experimental Mathematics)
- How the Manhattan Project helps us understand primes and elliptic curves
(with appendices on Dirichlet \(L\)-Fns, Random Graphs and a bibliography).
Colloquium, University of Connecticut (3/24/05):
ps
pdf; tabbed version
ps
dvi.
- From the Manhattan Project to Number Theory: How nuclear physics helped
us understand primes: Theoretical Physics Seminar,
Brown University (4/12/06):
pdf; relevant papers: Investigations of Zeros Near the Central
Point of Elliptic Curve \(L\)-Functions (to appear in
Experimental
Mathematics)
pdf (data available
online).
- Finite conductor models for zeros near the central point of elliptic
curve \(L\)-functions (with Eduardo Duenez, Duc Khiem Huynh and Jon P. Keating).
\(L\)-functions, ranks of elliptic curves and random
matrix theory workshop, Banff (7/12/07): slides:
pdf (my part);
pdf (Duenez);
ppt (Keating);
pdf (Huynh)
pdf (combined). AMS Special Session on
Number Theory, Wesleyan University, Middletown, CT (10/11/08):
pdf
Conference on Modular Forms and Related Topics,
Beirut, May 28, 2018.
pdf
CNTA XV, Universite Laval, July 9, 2018.
pdf
University of Maine, March 29, 2023.
pdf
University of Maryland, March 29, 2023
pdf
(talk here:
https://youtu.be/cNsSR5PloTY)
- Finite conductor models for zeros near the central point of elliptic
curve \(L\)-functions (with Eduardo Duenez, Duc Khiem Huynh and Jon P. Keating).
(This is an expanded version, and includes results towards an average
version of the Birch and Swinnerton-Dyer Conjecture, as well as the results
from Duc Khiem's thesis on modeling the first zero of quadratic twists by
Jacobi ensembles with discretization and lower order terms included.)
University of Rochester:
pdf
Five College Number Theory Seminar:
pdf
Williams College (abridged 40 minute version):
pdf Maine - Quebec Number Theory Conference (20 minute version, full theory,
10/1/11): pdf
Brown University (10/24/11): pdf
- Closed-form moments in elliptic curve families and low-lying zeros,
Simons Symposium on Families of Automorphic Forms and the Trace Formula,
Puerto Rico, January 31, 2014.
pdf
- From Sato-Tate Distributions to Low-Lying Zeros,
Frobenius distributions of curves, CIRM, February 2014
pdf
(and alsothe SouthEastern Regional Meeting
on Numbers (SERMON XXVII), Wofford College, April 26, 2014
pdf):
YouTube version of SERMON talk here:
http://youtu.be/VBzVAvZ6k6A
- From the Manhattan Project to Elliptic Curves: The
Ohio State University, March 24, 2014.
pdf UMass Boston, February 4, 2014.
pdf Washinigton State University, October 12, 2015.
pdf
MASON IV (3/7/20).
pdf
(video here:
https://youtu.be/p15X3ERNvLs)
- Finite conductor models for zeros near the central point of elliptic
curve L-functions: Yale University, April 15, 2014.
pdf
Boston College, April 30, 2015.
pdf
(includes Bias Conjecture)
Duke University (9/7/16)
pdf
- Results on GL(2) \(L\)-Functions: Biases in Coefficients and Gaps
Between Zeros, Families of Automorphic Forms and the
Trace Formula, Banff International Research Station, Dec 1, 2014:
video online here (slides here).
Brown University, Number Theory Seminar, April 2,
2018.
pdf
- Large Gaps Between Zeros of GL(2) L-Functions (with Owen Barrett and
Karl Winsor), 29th Automorphic Forms Workshop,
University of Michigan, March 2, 2015.
pdf
- Generalizing repulsion of elliptic curve zeros near the central point to
other GL(2) forms (with Owen Barrett), 29th
Automorphic Forms Workshop, University of Michigan, March 2, 2015.
pdf
- Biases in the second moments of Fourier coefficients in one-parameter
families of elliptic curves (with Blake Mackall and Karl Winsor),
29th Automorphic Forms Workshop, University of Michigan, March 3, 2015.
pdf
AMS Special Session on Analytic Number Theory and Automorphic Forms,
Washington State University, April 23, 2017.
pdf
- Biases in Second Moments of Elliptic Curves (Aditya Jambhale and Akash
L. Narayanan), Maine-Quebec Number Theory Conference, September 30, 2023.
pdf
- Machine Learning in Elliptic Curves and Beyond: From Conjectures to
Theorems to Conjectures, Hybrid Conference on AI-Math,
Institute of Mathematics and Statistics, State University of Rio de Janeiro,
RJ, Brazil, February 28, 2024.
pdf
AMS Special Session on Artificial Intelligence in Mathematics, Milwaukee,
April 20, 2024.
pdf
Rome, July 19, 2024.
pdf
- Elliptic Curves
- Ranks of One-Parameter Families of Elliptic Curves Over Q(T) and
Thoughts on the Excess Rank Question (with five appendices).
Boston College (3/10/03):
dvi
pdf
- Constructing 1-Parameter Families of Elliptic Curves over Q(T) with
Moderate Rank. AMS Sectional, Boulder, CO (10/4/03):
pdf
- The effect of zeros of elliptic curve \(L\)-functions at the central point
on nearby zeros. AMS Sectional, Lawrenceville, NJ
(4/18/04):
pdf Expanded Version: Algebra Seminar, Brown University (10/24/05):
pdf tabbed version
dvi
- Towards an ``Average'' Version of the Birch and Swinnerton-Dyer
Conjecture (presented by John Goes). Young
Mathematicians Conference, Ohio State
(8/29/09): pdf
- Biases in Moments of Elliptic Curve, 30th
Automorphic Forms Workshop, Wake Forest University, March 8, 2016.
pdf
- Rank and Bias in Families of Hyperelliptic Curves,
Quebec-Maine Number Theory Conference, October 7, 2018.
pdf
- Rank and Bias in Families of Curves via Nagao's Conjecture,
AMS Special Session on A Showcase of Number Theory at
Undergraduate Institutions, JMM, Baltimore (1/17/19):
pdf 33rd Automorphic Forms Workshop, Duquesne University
(3/8/19):
pdf
- Applications of Moments of Dirichlet Coefficients in Elliptic Curve
Families,
Murmurations in Arithmetic, ICERM, July 7, 2023:
pdf
- Random Matrix Ensembles
- Eigenvalue Statistics for Ensembles of Random Matrices (especially
Toeplitz Ensembles & Diophantine Obstructions).
Probability and Ergodic Theory Seminar, Ohio State (10/30/03):
pdf Boston University (6/7/04 expanded):
pdf Brown University (9/15/04
expanded):
pdf
- On the probability that random graphs are Ramanujan.
Expanders and Ramanujan Graphs: Construction and
Applications, AMS National Meeting, San Diego (1/9/08):
pdf
- Eigenvalue statistics for Toeplitz ensembles. ICM
Satellite Meeting in Probability & Stochastic Processes, Bangalore, India
(August, 2010):
pdf
- The Limiting Eigenvalue Density for the Ensemble of m-Circulant Matrices
(presented by Gene Kopp and Murat Kologlu, SMALL
progress report (8/4/10):
pdf Expanded Version:
Young Mathematicians Conference, Ohio State
(8/28/10):
pdf
- Eigenvalue Statistics of Toeplitz and Block m-Circulant Ensembles
(presented with Murat Kologlu), AMS Special Session
on Random Processes, Worcester, MA (4/9/11):
pdf
- Painleve VI and Tracy-Widom Distributions in Random Graphs, Random
Matrix Theory and Number Theory, AMS Special Session
on Random Processes, Worcester, MA (4/9/11):
pdf
- Distributions of Eigenvalues of Weighted, Structured Matrix Ensembles (presented by Olivia Beckwith and Karen Shen), Young Mathematicians Conference, August 19, 2011. pdf
- Eigenvalue Statistics for Toeplitz and Circulant Ensembles,
Analysis and Probability Seminar, UConn, March 2,
2012. pdf
Expanded version July 3, 2012 (with Gene Kopp, Murat Kologlu and Karen Shen)
at the second Institute of Mathematical Sciences Asia Pacific Rim Meeting,
Tsukuba, Japan.
pdf
(zipped files for slides
here)
- Random Matrix Ensembles with
Split Limiting Behavior} (joint with Peter Cohen, Yen Nhi Truong Vu and
Roger Van Peski), International Conference of The Indian Mathematics
Consortium in cooperation with American Mathematical Society, Banaras Hindu
University, December 15, 2016.
pdf
Joint Meetings of the AMS/MAA, Atlanta, January 5, 2017.
pdf
-
Benford's Law
(see the compilation page I made for my
Bentley talk for links to papers and other resources) (see also
colloquium talks)
- Benford's Law, Values of \(L\)-functions and the 3x+1 Problem.
Boston College (10/19/04), University of Michigan
(11/15/04), University of Arizona (1/11/06), Brown University (3/20/06): slides
paper.pdf. Number Theory Special Session, AMS Sectional
Meeting, WPI, Worcester, MA (4/25/09, 20min version):
pdf Mathematica programs:
Just the 3x+1 Map
Benford Investigations Some Numerical Simulations:
Data
- Benford's Law and Order Statistics. Brown
University (2/1/06)
paper.pdf
- Poisson Summation and Benford's Law: From values of \(L\)-functions to the
3x+1 problem to products of random variables.
University of Bristol (12/12/07); Workshop on the Theory and Applications of
Benford's Law, Santa Fe, NM (12/18/07):
pdf
- The logarithmic link between economic, hydrologic, and seismic
statistics (with Mark Nigrini), Workshop on the Theory
and Applications of Benford's Law, Santa Fe, NM (12/17/07):
- Chains of distributions and Benford's Law (with Dennis Jang, Jung Uk
Kang, Alex Kruckman and Jun Kudo), Workshop on the
Theory and Applications of Benford's Law, Santa Fe, NM (12/17/07):
pdf
- Benford's Law: Why the IRS might care about the 3x+1 problem and
ζ(s) (general introduction to the
subject), Western New England College (2/11/08):
pdf (untabbed version
pdf); Smith College (10/7/08):
pdf;
Williams College, Bronfman Science Lunch (10/21/08, 20min version):
pdf
Central Connecticut State University (9/25/09):
pdf;
Bentley University (2/1/10):
pdf
(untabbed version:
pdf;
click here for links to papers and other
resources) Five Colleges Number Theory Seminar, Amherst
(1/31/12, 50min version, more number theoretic):
pdf
- Theory and applications of Benford's law to fraud detection, or: Why the
IRS should care about number theory! IRS (Boston
Offices, 3/28/08):
pdf (untabbed version
pdf). Williams College, SMALL Summer Colloquium (6/23/10, 40min
version):
pdf. Hampshire College Summer Program (7/14/2011) pdf. Smith College Sigma Xi talk (11/15/11) pdf.
Mount Holyoke College (2/1/12)
pdf
Math 161, Brown University (11/12/12):
pdf (video
of the talk is available here)
- Theory and Applications of Benford's Law (Iranian Elections, Climate
Data and the Weibull) (Tory Cuff and Allie Lewis presenters),
SMALL report, August 3, 2010:
pdf
- Benford's law and dependent random variables (presented by Thealexa Becker), WIMIN Conference, Smith College (9/24/11) pdf
- Benford's Law, Values of \(L\)-Functions and the \(3x+1\) Problem,
or: Why the IRS cares about Number and Ergodic Theory,
Ergodic Theory Seminar, University of Illinois,
March 26, 2013.
pdf
- Benford's Law: Why the IRS cares about Algebra and Number Theory
(and why you should too!), SMALL Faculty
Seminar, July 22, 2015.
pdf SACNAS,
Washington, DC, October 2015.
pdf PME Induction Ceremony, Holy Cross, April 20, 2016.
pdf
Duke University, September 7, 2016.
pdf
Washington State University, April 21, 2017.
pdf
- Can math detect fraud? CSI: Mathematics: The natural behavior of
numbers. Science Cafe, Northampton, September
26, 2016.
pdf
(Video:
https://youtu.be/42vYLnY8tnA)
- Benford's Law and the 3x+1 Problem, or: Why the IRS cares about
Discrete Dynamical Systems. AMS Northeastern
Sectional, Discrete Dynamical Systems, April 22, 2018.
pdf
- Benford's Law: Why the IRS and others care about Number Theory (and
you should too!),
Cross-domain Conference on Benford's Law
application, Stresa, Italy, July 10, 2019.
pdf
PIMS Distinguished Lecture, UNBC, November 14, 2019 (changed to
11/4/2020: video here:
https://youtu.be/NSuXJRIFcXc).
pdf
Vassar College
pdf
(video:
https://youtu.be/fm3s-xjcnAE). UConn Math Club (9/16/20)
pdf.
New York Number Theory Seminar (6/16/22)
pdf.
Texas State REU (7/1/22)
pdf
University of Pittsburgh (11/11/22)
pdf
- Benford's Law and Random Integer Decomposition with Congruence
Stopping Condition, MAA Southeastern Sectional
Meeting, Special Session on the Theory of Integer Sequences, University
of Tennessee, Saturday, March 16, 2024 (video here:
https://youtu.be/FIjIFsmDk0c).
pdf
- Benford's Law under Zeckendorf expansions (presented by Sungkon
Chang), 21st International Fibonacci Conference,
July 12th, 2024.
pdf
- See also some of the talks in the Additive Number Theory section and
the colloquium section.
-
Additive Number Theory: More Sum Than Difference
Sets, Ramsey Theory,
Ramanujan Primes, ...
- When almost all sets are difference dominated.
Analysis Seminar, Brown University (9/12/07)
paper.pdf; Williams College (9/12/08):
pdf
Wesleyan University (11/20/08):
pdf
Workshop on Combinatorial and Additive Number Theory (CANT 2009), CUNY
Graduate Center, New York, May 2009:
pdf
- Explicit constructions of infinite families of MSTD sets
(presented by Dan Scheinerman), Number Theory Session,
Joint Mathematical Meetings, Washington, DC (1/05/09):
pdf
- The Circle Method and Class Groups of Quadratic Fields (Carlos
Dominguez, presenter), SMALL report, August 4, 2010.
pdf Expanded Version:
Young Mathematicians Conference, Ohio State
(8/27/10):
pdf
- Constructing explicit families of generalized families of MSTD sets
(with Sean Pegado and Luc Robinson),
May 26, 2011 at CANT 2011:
pdf
- Constructing Generalized Sum-Dominant Sets (presented by Geoff Iyer and Liyang Zhang), Young Mathematicians Conference, August 19, 2011. pdf; Maine-Quebec Number Theory Conference, October 2, 2011. pdf;
May 23, 2012 at CANT 2012:
pdf
- The Distribution of Generalized Ramanujan Primes (presented by Nadine Amersi and Ryan Ronan), Young Mathematicians Conference, August 20, 2011. pdf;
May 24, 2012 at CANT 2012:
pdf
- The Distribution of the Number of Missing Sums in Sumsets (presented by Oleg Lazarev), Young Mathematicians Conference, August 21, 2011. pdf.
May 23, 2012 at CANT 2012:
pdf
- Most Sets are Balanced in Finite Groups (presented by Kevin Vissuet),
Special Session on Additive and Combinatorial Number Theory, AMS
Sectional, Akron, Ohio, October 21, 2012
pdf
- When Almost All Sets Are Difference Dominated,
Number Theory Seminar, University of Illinois, March
25, 2013.
pdf
- When Almost All Generalized Sumsets Are Difference-Dominated (given by
Ginny Hogan), CANT, May 21, 2013.
pdf
- Coordinate Sum and Difference Sets of \(d\)-dimensional Modular Hyperbolas
(given by Amanda Bower), CANT, May 21, 2013.
pdf
- Sums and Differences of Correlated Random Sets (given by Thao Do),
Garden State Undergraduate
Math Conference, April 5, 2014.
pdf
- Continued Fraction Digit Averages and Maclaurin's Inequalities,
CANT, May 28, 2014.
pdf (talk
online here), Quebec-Maine
Number Theory Conference, Sept 28, 2014
pdf AMS Special Session on Continued
Fractions, JMM 2015, January 12, 2015.
pdf
- MSTD Subsets and Properties of Divots in the Distribution of Missing
Sums (with Victor Xu and Xiaorong Zhang), CANT May
26, 2016
pdf
- When almost all sets are difference
dominated in Z/nZ (given by Adam Lott), Integers
Conference, University of West Georgia, October 7, 2016.
pdf
- A geometric perspective on the MSTD
question (given by Carsten Peterson), Integers
Conference, University of West Georgia, October 7, 2016. pdf
- Ramsey Theory over Number Fields,
Finite Fields and Quaternions, CANT, May 26, 2017.
pdf
- Within-perfect & near-perfect numbers (with Kevin Kwan),
CANT May 22, 2018
pdf
- Phase Transitions in the
Distribution of Missing Sums and a Powerful Family of MSTD Sets,
Integers 2018, Augusta, Georgia, October 4, 2018.
pdf
- Recent progress in sumsets, generalized Schreier sets, generalized
Zeckendorf decompositions, and prime and square-free walks (with Joshua
Ackerman, Tudor Popescu, Zimu Xiang), CANT May
23, 2019
- Distribution of missing differences in diffsets (given by Fei Peng),
CANT June 5, 2020
pdf
- Distribution of missing sums in correlated sumsets (given by Dylan
King),
CANT June 5, 2020
pdf
-
Large sets are sumsets (given by Ben Baily and Henry Fleischmann),
Combinatorial and Additive Number Theory, May 2022.
pdf
-
Schreier
multisets and the s-step Fibonacci sequences, Integers Conference,
University of Georgia, May 18, 2023.
pdf
Talk:
https://youtu.be/hfBz74xDFls
-
Additive Number Theory: Zeckendorf Decompositions (images for Zeckendorf / gaps)
- Cookie Monster Meets the Fibonacci Numbers. Mmmmmm -- Theorems!
Workshop on Combinatorial and Additive Number Theory (CANT 2010), CUNY
Graduate Center, New York, May 2010:
pdf
(untabbed version
pdf); Hampshire College Summer Program (expanded version, 7/15/10):
pdf;
Smith College (1/28/11, 30 minute version):
pdf
Special Session on Undergraduate Research, Holy Cross, 4/9/10 (presented by
Murat Kologlu)
pdf;
expanded version from May 26, 2011 for CANT 2011:
pdf
expanded version with gaps for Algebra Seminar, UConn (2/7/12)
pdf
AMS Special Session on Difference Equations, Washington, DC (4/27/12, 20
minutes) pdf
University of Michigan (11/30/17)
pdf Williams and Texas State REUs (7/8/20)
pdf
- From the Fibonacci Numbers to a Central Limit Type Theorem (presented by Yinghui Wang). SMALL report, August 4, 2010.
pdf
Expanded Version:
Young Mathematicians Conference, Ohio State
(8/28/10):
pdf
Even more expanded version: Williams College Seminar October 1, 2010.
pdf
- Gaps between summands in generalized Zeckendorf decompositions (presented by Olivia Beckwith), Young Mathematicians Conference, August 19, 2011. pdf
- To Infinity and Beyond: Gaps Between Summands in Zeckendorf
Decompositions,
May 22, 2012 at CANT 2012:
pdf
- Distribution of Summands in Generalized Zeckendorf Decompositions
(presented by Rachel Insoft and Philip Tosteson),
AMS Sectional Meeting, Rochester, September 22, 2012:
pdf
AMS Sectional Meeting, Rochester, September 22, 2012:
pdf
Special Session on Additive and Combinatorial Number Theory, AMS
Sectional, Akron, Ohio, October 21, 2012
pdf
- Distribution of summands in generalized Zeckendorf decompositions,
AMS Session on Number Theory, I, Joint Meetings San
Diego, January 9, 2013.
pdf
-
Mind the Gap: Distribution of Gaps in Generalized Zeckendorf
Decompositions, CANT, May 21, 2013.
pdf
Williams Math/Stats Faculty
Seminar (9/12/13), Maine - Quebec Number
Theory Conference (10/5/13), AMS Special Session on Difference Equations
(10/12/13).
pdf Expanded version dealing with Kentucky Sequence:
16th International Fibonacci
Conference, Rochester, NY (7/25/2014):
pdf
- Coin Flips, Fibonacci Numbers and Gaps! (given by Phil Tosteson),
AMS Special Session on
Difference Equations, March 29, 2014.
pdf
- Introduction to Zeckendorf Decompositions,
AIM, July 7, 2014;
Progress Report Images July
9, 2014 (pdf);
Final report July 11, 2014 (pdf).
- From Fibonacci Quilts to Benford's Law through Zeckendorf
Decompositions, AMS Special Session on Difference
Equations, JMM 2015, January 10, 2015.
pdf
CANT May 19, 2015.
pdf
- From the Kentucky Sequence to Benford's
Law through Zeckendorf Decompositions, AMS
Special Session on Difference Equations, Washington, DC, March 7, 2015.
pdf
- The Fibonacci Quilt Sequence (presented
by Pari Ford), AMS Special Session on
Difference Equations, Washington, DC, March 7, 2015.
pdf
- Convergence rates in generalized Zeckendorf decomposition problems
(with Ray Li, Zhao Pan and Huanzhong Xu), CANT May
26, 2016
pdf
- Convergence Rates in Generalized Zeckendorf Decompositions (with Zhao
Pan and Huanzhong Xu),
17th International Fibonacci
Confernece, Caen, France (6/28/2016):
pdf
- On Summand Minimality of Generalized
Zeckendorf Decompositions (given by Chi Huynh, Carsten Peterson and Nhi
Truong), AMS Contributed Paper Session on
Undergraduate Research, JMM Atlanta 2017.
pdf
- Generalizations of Zeckendorf's Theorem
to Two-Dimensional Sequences (with Joshua Siktar),
AMS Special Session on Discrete Neural Networking and Applications, I,
JMM, San Diego, January 11, 2018.
pdf
- Distributions in Generalized Zeckendorf
Decompositions (with Yujin Kim, Shannon Sweitzer, Eric Winsor and
Jianing Yang), AMS
Special Session on Discrete Neural Networking and Applications, I, JMM,
San Diego, January 11, 2018.
pdf.
- Monovariants to
Zeckendorf Decompositions and Games, The Eighteenth International
Conference on Fibonacci Numbers and Their Applications, Dalhousie
University, July 2, 2018.
pdf
- Gaps Of Summands of The
Zeckendorf Lattice, presented by SMALL 2019 and Eureka 2018, 19th
International Fibonacci Conference, July 21, 2020.
pdf
- Completeness of Positive
Linear Recurrence Sequences, presented by SMALL 2020, 19th
International Fibonacci Conference, July 21, 2020.
pdf
- Generalizing
Zeckendorf's Theorem to non-constant coefficient recurrences, presented
by Eureka 2020 and Polymath REU (pdf),
19th International Fibonacci Conference, July 22, 2020.
- Asymptotic Analysis For
Lattice Walks Derived From Zeckendorf Decompositions, presented by CMU
students and Eureka 2019, 19th International Fibonacci
Conference, July 23, 2020.
pdf
- Generalizing
Zeckendorf's Theorem to Homogeneous Linear Recurrences, presented by
Thomas Martinez, 19th International Fibonacci Conference, July
23, 2020.
pdf
-
The Generalized Bergman game (given by Faye Jackson and Luke Reifenberg),
Combinatorial and Additive Number Theory, May 2022.
pdf
-
Why I
love Monovariants: From Zombies to Conway's Soldiers via the Golden
Mean, 7th Number Theory Meeting - Torino, September 28, 2023.
pdf Kansas State University, November 8, 2023:
pdf Western New England PME Induction Ceremony, April 26,
2024:
pdf
Williams College, June 19, 2024
pdf
-
The
theory of normalization constants and Zeckendorf decompositions,
Combinatorial and Additive Number Theory
2024, Cuny Graduate Center, May 22, 2024.
pdf
Hampshire College (Expanded Version), July 29, 2024.
pdf
(video:
https://youtu.be/E5CsVBwoavw)
-
Additive Number Theory: Erdos Distance Problems (images
for Zeckendorf / gaps)
- Classification of Crescent Configurations
on Four and Five Points (given by Chi Huynh),
Integers Conference, University of West Georgia, October 7, 2016.
pdf
AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates
and Students in Post-Baccalaureate Programs, III, Joint Math Meetings,
Atlanta, January 2017
(given by Becky Durst, Chi Huynh, Max
Hlavacek)
pdf
- Crescent Configurations
In Non-Euclidean Norms, (given by Dylan King and Cathy Wahlenmayer),
Maine-Qu\'ebec Number Theory Conference, October 5, 2019.
pdf
-
Angle variants of the Erdos distinct distance problem (given by Henry
Fleischmann and Ethan Pesikof), Combinatorial and Additive Number
Theory, May 2022.
pdf
-
Erdos Distinct Angle Problems (given by Henry Fleischmann and Ethan
Pesikoff), Combinatorial and Additive Number Theory, May
2022.
pdf
- Computers, Dynamical Systems and Mathematics Education
- Computers in Undergraduate Education and Zeros of Elliptic Curves.
Minnesota (8/10/02):
pdf Expanded Version:
pdf
- Statistical Investigations as a Tool in Undergraduate Mathematics
Research: Poster and Workshop Sessions
International Conference on Statistics Honolulu,
Hawaii (6/5/03 and 6/7/03):
pdf
- NSF Workshop on Computation in Algebra, Number Theory and Combinatorics.
Washington DC (9/21/02):
ps and
ps
- The Pythagorean Won-Loss Theorem: An introduction to modeling.
Great Activities for an Introductory Statistics Class,
AMS National Meeting, San Diego, (1/7/08):
pdf
- Workshop on Mathematicians in Mathematics Education, participant,
Institute for Mathematics Education,
Tucson, Arizona, March 20 - 22, 2008.
- Progress Report: Statistics in Function Fields,
Sage Days 21, Seattle,
Washington, May 27, 2010.
pdf
- Introduction to Matlab: IAS Women in Mathematics: May 18, 2011.
Click here for files.
- Virus dynamics on star graphs (presented by Thealexa Becker), WIMIN Conference, Smith College (9/24/11)
pdf;
expanded version at AMS Special Session on Difference
Equations, University of Maryland, March 29, 2014.
pdf
- Why more is better: the power of multiple proofs,
ATMIM Spring Conference, Assabet Valley Regional Technical High School,
Grade 9 - 12 Session (3/23/13)
pdf
-
From M&Ms to Mathematics, or, How I learned to answer questions and help
my kids love math, ATMIM Spring Conference, Assabet
Valley Regional Technical High School, Keynote Address (3/23/13)
pdf HCSSiM, July 17++,
2013.
pdf;
Dr. Philip O. Coakley Middle
School, Norwood, MA, June 9, 2014.
pdf.
Maine-Quebec Number Theory Conference, October 3, 2015.
pdf
Math League, College of New Jersey, July 25, 2016 and
July 20, 2017.
pdf Prospective Days, Williams College, August 11, 2017.
pdf
Williamstown Elementary School, October 1, 2018. TCNJ Math Camp, July 29,
2019. Texas State REU (zoom), June 27, 2024.
pdf
(video: https://youtu.be/Y5QYEggFGi0)
University of Michigan, pre-100k Step Preparation, October 4, 2024 (video:
https://youtu.be/-plcuC64a6E).
pdf
- Why Cookies And M&Ms Are Good For You (Mathematically),
Stuyvesant High School, May 9, 2014.
pdf
(talk online
here)
- YouTube University: The Benefits of Recording Lectures,
Blended Learning
Conference, May 22, 2014.
pdf
(talk online here)
- Challenges and Opportunities for Graduate School Bound Liberal Arts
Students,
AMS Committee on Education, Washington, DC, October 30, 2015.
slides pdf
handout pdf
- Building YouTube University Brick by Brick,
AMS-MAA Special Session on Innovative Ideas in Enhancing Success in
Mathematics Classes, Joint Meetings of the AMS-MAA, Seattle, January 6,
2015.
pdf
- Balancing responsibilities in academia, panelist at the
30th Automorphic Forms Workshop, Wake Forest
University, March 7, 2016.
- Results and Research in REUs: Cookie Monster Meets the Fibonacci Numbers. Mmmmmm -- Theorems! Florida
Institute of Technology, May 20, 2016.
pdf
- Springboards to Mathematics: From Zombies to Zeckendorf,
Math League Summer Program, College of New Jersey,
July 25, 2016.
pdf
- Portable Lecture Capture, LACOL Teaching with Tech
2017 Lightning Round, Vassar College, June 15, 2017.
pdf (powerpoint slides
here)
- Where's my remote? Shared upper level math courses across schools,
LACOL 2017 Session 7, Vassar College, June 16, 2017.
pdf
(video here:
http://lacol.net/shared-math/)
- YouTube University: Shared upper level math courses across schools,
AMS-MAA Special Session: Novel Methods of Enhancing
Success in Mathematics Classes, Joint Mathematics Meeting, San Diego,
January 2018.
pdf
- Where's the Remote? Upper-Level Math/Stats Hybrid Course Sharing for the
Liberal Arts (with Jingchen (Monika) Hu),
EDUCAUSE Learning Initiative (ELI) Annual
Meeting, New Orleans, January 30, 2018.
pdf
- Exploration into a Framework for Digitally
Shared Courses (with Liz Evans, Lioba Gerhardi and Monika Hu),
LACOL Workshop, Carlton College, June 1, 2018.
- From M&Ms to Modern Mathematics: Introduction to
Plotting, Logarithms and Patterns, Williamstown Elementary School, October
1, 2018.
pdf
- The Explicit Sato-Tate Conjecture in Arithmetic Progressions,
Quebec-Maine Number Theory Conference, October 7,
2018.
pdf
- Summer Data Science (online): By and for the liberal arts,
panelist in discussion on an online class co-teaching,
LACOL Data Science Workshop, June 6, 2019.
- YouTube University II: Shared upper level math courses across schools,
Joint Math Meetings, AMS Special Session on Pedagogical Innovations That
Lead to Successful Mathematics, Denver, Jan 16, 2020.
pdf
(online: https://youtu.be/rjn1sn3WLZg)
- Extending P y t h a g o r a s,
Williams College 3/9/20:
pdf
-
From Zombies to Fibonaccis: An Introduction to the Theory of Games,
Michigan Math Circle, April 23 and 30,
2020.
pdf
(part I)
pdf (part II) NJ Math Camp, July 17, 2023.
pdf
- Engaging students in research in the covid pandemic,
Cross Atlantic Representation Theory and Other Topics ONline (CARTOON), May
30, 2020.
pdf
- All I need to know about probability I learned from Darth Vader
and James Bond, Hampshire
College Institute for Summer Studies in Mathematics, August 3, 2020.
(powerpoint
here,
pdf here)
- Analyzing Virus Dynamics on k-level Starlike Graphs (with Akihiro
Takigawa), Spring 2021 AMS Eastern Sectional Meeting:
Special Session on Applications and Asymptotic Properties of Discrete
Dynamical Systems: A Session in Honor of the Retirement of Orlando Merino.
pdf
- CUR-Goldwater Faculty Mentor Award, May 12, 2021, Expanded Version.
https://youtu.be/NGS5mHJcnlQ
(powerpoint here,
pdf here)
- Computational Thinking Modules: From Data to Results (through
chocolate!), STANYS (Science Teachers of New York State) Conference:
November 7, 2021:
https://youtu.be/xYy_LAy-gHo
(powerpoint here,
pdf here).
- The Fibonacci Sequence and Math Outreach (joint with Cameron and Kayla
Miller, Anna Mello and her classes, and SMALL 2022), the 20th International
Fibonacci Conference, Sarajevo, July 29, 2022:
https://youtu.be/vZOttB4ksXw
(powerpoint here,
pdf here).
- Modeling Beyond the Classroom: Linking Students and Industry,
Integrating Math Modeling and Interdisciplinarity into Your Classroom,
MathFest, August 5, 2022:
https://youtu.be/G1ttDfUzaqA (powerpoint
here,
pdf here).
COMAP Contributed Paper Session: Integrating Modeling into Established
Courses: Joint Math Meetings: Boston: Jan 7, 2023 (powerpoint
here,
pdf here).
- From Zombies to Sports: An Introduction to the Theory of Games,
Michigan Math Circle, April 23 and 30,
2020.
pdf
(part I)
pdf (part II) NJ Math Camp, July 17, 2023.
pdf
- AMS Expects that every
Mathematician will do their ODEs: From the Battle of Trafalgar to Calculus
(or Nelson to Newton), AMS Special Session on Modeling to Motivate the
Teaching of Mathematics of Differential Equations JMM, San Francisco,
January 3, 2024.
pdf
(video here:
https://youtu.be/rRBWahHdMS4)
SIMIODE EXPO 2024: February 11, 2024.
pdf
- Lessons I learned the hard way, Lecture to
Polymath Jr Mentors, July 10th, 2024.
- From Pascal to Calculus:
TCNJ Math Camp, July 14, 2024: slides
pdf
- From Pascal to Calculus (July 27, 2024) and What do you mean?
Mirror, mirror on the wall, who's the most irrational number of all? (July
28, 2024)
-
slides:
pdf
(notes from lecturing included)
-
paper on irrationality
constructions: Rational irrational proofs (with David Montague), Mathematics
Magazine (85 (2012), no. 2, 110--114). pdf (expanded
version: pdf;
letter from Nerode and Tennenbaum on history of proof: pdf)
- Colloquium / General Talks
(mostly Random Matrix Theory and Number Theory)
- How the Manhattan Project helped us understand primes.
Colloquium, University of Cincinatti (10/16/03) and
Ohio State (10/1/03):
pdf. An alternate version (with appendices on Dirichlet \(L\)-Fns, Elliptic
Curves and a bibliography): Colloquium, Colby College
(3/8/05):
ps
pdf; tabbed version
ps
dvi. Another alternate version (with appendices on Dirichlet
\(L\)-Fns, Random Graphs and a bibliography). Colloquium,
University of Connecticut (3/24/05):
ps
pdf; tabbed version
ps
dvi
- From Nuclear Physics to Number Theory: How the Manhattan Project helped
us understand Primes: SUMS Conference, Brown
University (2/12/05):
ps
pdf; tabbed version
ps
dvi This is similar to the above colloquia, but aimed more at
undergraduates.
- \(L\)-functions and Random Matrix Theory. Brown
University (10/6/06). See
pdf for a more extensive version.
- From the Manhattan Project to Number Theory: How Nuclear Physics Helps
Us Understand Primes (20 minutes). Bronfman Science
Lunch, Williams College (6/23/09):
pdf (20
minute version)
pdf (expanded
version). Wellesley College (2/2/10):
pdf
(25 minute version)
- Heuristics and Ballpark Estimates: From the 3x+1 problem to counting
primes and birthdays: PROMYS, Boston University
(7/28/09)
- Pythagoras at the Bat: an Introduction to Statistics and Mathematical
Modeling: Wellesley (9/21/09):
pdf
- How low can we go? Lower order terms in CLTs from Benford's Law to
Elliptic Curves (25 minute version). NES MAA Fall 2009 Meeting (11/21/09):
pdf (no
tab pdf)
- Great Expectations, or: Expect More, Work Less. Wellesley (2/3/10):
pdf
- The Riemann Hypothesis at 150: From Primes to Nuclei and Many
Things Between. Williams College (11/18/09) Blackboard
talk, but see the following page for
relevant papers on the subject.
- From the Manhattan Project to Elliptic Curves.
Smith College (1/28/11)
pdf
Dartmouth College, January 28, 2013.
pdf (no tab version:
pdf)
- From Cookie Monster to the IRS: Some Fruitful Interactions between
Probability, Combinatorics and Number Theory.
UNC Charlotte (2/1/11)
pdf
-
Cookie Monster Meets the Fibonacci Numbers. Mmmmmm -- Theorems!
Pi Mu Epsilon Induction Ceremony, College of the Holy
Cross (5/5/11)
pdf Smith
College (9/13/11)
pdf (click here for the talk) Amherst College (9/21/11)
and Mount Holyoke College (10/5/11) pdf
SUMS, Brown University (3/10/12; presented by Louis Gaudet, alternate 18
minute version emphasizing gaps)
pdf
Colby College (3/28/12)
pdf
Summer Science Lecture Series, Williams College (6/19/12, 20 minutes)
pdf; Williams College (9/14/12), Middlebury College
(9/28/12), Wesleyan College (10/19/12) and Brown University (11/12/12)
pdf Expanded Version for Yale University with data for longest
gap part (4/14/14):
pdf
(video here:
http://youtu.be/5e6HsfxqVSE), Yale
University (with rectangle game) (2/23/24)
pdf
(video here)
- Biases: From Benford's Law to Additive Number Theory via the IRS and
Physics. SMALL Summer REU, Williams College (6/22/11)
pdf
- Number Theory and Random Matrix Theory Progress Report (Nadine Amersi, Thealexa Becker, Olivia Beckwith, Geoffrey Iyer, Oleg Lazarev, Karen Shen, Alec Greaves-Tunnell, Ryan Ronan, Liyang Zhang). SMALL End of Summer Progress Report, Williams College (8/2/11) pdf (zipped file
here). This work was also presented at a poster session.
Poster 1 (RMT, Maass forms, Viruses),
Poster 2 (Benford, MSTD, c-Ramanujan).
- From Random Matrix Theory to Number Theory,
SMALL colloquium, July 25, 2012 (similar to Utah graduate talk).
pdf
- Number Theory and Probability: SMALL '13 Projects,
Williams College, June 19, 2013.
pdf
- The Latke-Hamantaschen Debate: The Primacy of Three,
Williams College, March 19, 2014.
pptx
pdf
(YouTube clip:
http://www.youtube.com/watch?v=tt4_4YajqRM)
-
Fractals:
From Khan to Frozen,
Williams College, March 20, 2014 (supplemental
lecture for multivariable calculus).
-
Some Results on Low-Lying Zeros of L-Functions, Williams
College, July 16, 2014 (SMALL colloquium).
pdf
-
Why more is better: the power of multiple proofs,
Hampshire
College, July 31, 2014.
pdf
-
He's just going through a phase: Miller's SMALL students and Phase
Transitions,
Williams College, October 10, 2014.
pdf
-
From Fibonacci Quilts to Benford's Law through Zeckendorf Decompositions,
Williams College, Science Talk, November 11, 2014.
pdf
-
Why the IRS cares about the Riemann Zeta Function and Number Theory (and you
should too!),
Williams College talk to the faculty February 12,
2015 (http://youtu.be/JmBXZCbbwas, slides
here),
Carnegie Mellon 3/25/15 and Winona State University
3/30/15:
pdf
-
Extending the Pythagorean Formula,
Williams College (4/8/15): http://youtu.be/idIHcgapMG4 (slides
here). Modified version (all slides, no blackboard: 20 minutes
Williams Summer Science Talk):
http://youtu.be/8HtABCG6ACg
(slides
here).
Expanded version (all slides, 50 minutes: Hampshire College Summer Studies in
Mathematics, 7/28/2015): (slides
here)
Washington State University (10/12/15) (see
Hampshire College slides),
Window on Williams (10/16/15).
pdf Hampshire College (8-3-16).
pdf
Williams SMALL REU, July 26, 2017 and TCNJ Math Camp, July 29, 2017.
pdf
Williams March 9, 2020
https://www.youtube.com/watch?v=EH6PUS2OwUY&t=931s
-
Success and/or Significance, A musician and mathematician discuss beauty,
perfection, and faith in the liberal arts,
Veritas forum, Williams College, April 14, 2016.
pdf
pptx
(with videos)
-
From the Manhattan Project to Elliptic Curves: Introduction to Random Matrix
Theory,
SMALL Faculty Talk, Williams College, July 27, 2016
pdf
SUMS, Brown University, March 18, 2017.
pdf.
SMALL Faculty Talk, Williams College, July 5, 2017.
pdf
Analysis Seminar, Virginia Tech, April 6, 2018.
pdf. SMALL Faculty Talk, Williams College, June 13, 2018.
pdf. Yale University, October 8, 2018.
pdf
Math Club at U(M), January 21, 2021.
pdf (video
here: https://youtu.be/j4imqkJ7Eg8)
-
Secrets of the Tax System with Steve Miller: Keep More of Your MOOLA:
Williams College 9/16/2016: (slides
here)
-
Egg Drop Mathematics: It's all it's cracked up to be:
Math League Summer Program, July 17 and 29, 2017; July 14, 2019. University of Michigan,
November 30, 2017. REU in Computational Statistics, UNC Greenesboro, July
10, 2023,
TCNJ Math Camp, July 18 and 25, 2023.
pdf
-
From C to Shining C: Complex Dynamics from Combinatorics to Coastlines,
Maritime Studies Program of Williams College and
Mystic Seaport, Mystic, CT, October 20, 2017.
pdf
(video here:
https://youtu.be/TMILk79N_Bs) Michigan Math Circle, April 30, 2020.
pdf
Hampshire College 8/8/2022 (video:
https://youtu.be/GO3EbWUesBQ)
pdf
-
SNAP DECISIONS: Management Lessons from Legos, Lever,
North Adams, January 25, 2018.
ppt
pdf
-
From Zombies to Fibonaccis: An Introduction to the Theory of Games.
TCNJ Math Camp, July 16 and 29 (Part I) and 17 and 30
(Part II), 2018.
pdf
Hampshire College, July 24, 2018.
pdf
-
The German Tank Problem: Math/Stats At War, University
of Connecticut Math Department Awards Dinner, April 26, 2019.
pdf
Hampshire College, July 8, 2019.
pdf (Hampshire College talk:
https://youtu.be/IOcI2c3QQbw) Yale University, September 27,
2019.
pdf
(video:
https://youtu.be/nZJUbwC_bTw). The Christie Lecture, NES/MAA Fall
2019 Meeting, 11/22/2019.
pdf
(video:
https://youtu.be/I3ngtIYjw3w).
PROMYS August 7, 2020
pdf UNC
Greensboro REU, June 9, 2022
pdf
-
Inrtoduwtion to Erorr Dwtetcion and Czorrectmon,
TCNJ Math Camp, July 14, 2019. MathFest, August 1, 2019.
pdf
(video: https://youtu.be/RPWMAqPhv6w);
50 minute video from class:
https://youtu.be/YOs8QYU3Wq8 Hampshire
College, June 30, 2021. University of Michigan, October 1, 2021.
pdf
(video:
https://youtu.be/tuL0K1XtGBE)
-
VCTAL CRYPTOGRAPHY LECTURES: June 19-20, 2019: Burlington, VT: See
VCTAL Lectures Burlington 2019: Introduction to
cryptography, error detection / correction.
-
Of the Origin and Design of Eigenvalues in General, with Concise Remarks on
the English Constitution. Dearborn REU (6/24/19) and
SMALL REU (7/3/19). pdf
-
Why I love Monovariants: From Zombies to Conway's Soldiers via the Golden
Mean. Math Club, University of Michigan, September 10,
2020.
pdf (video:
https://youtu.be/LWWc4q3e-RY)
Williams College, October 13, 2021. pdf
(video:
https://youtu.be/b6CrLgHawm8). Baruch College,
August 4, 2022.
pdf
-
Lessons I've learned (many the hard way), Baruch REU
July 6, 2021 and Polymath Jr REU July 8, 2021. Williams College (10/13/21)
pdf
(video: )
-
From Monovariants to Zeckendorf Decompositions and Games, and Random Matrix
Theory, Williams College (7/14/21) and Texas Tech (7/29/21). pdf
(video:
https://youtu.be/Kayru_V75V8)
-
Classifying GOATS (like Brady, Russell and Ruth) by their tails (joint with
Rick Cleary), MathFest August 5, 2021
pdf
-
Connections of Class Numbers to the Group Structure of Generalized Pythagorean
Triples (with Thomas Jaklitsch, Thomas Martinez, and Sagnik Mukherjee),
International Conference on Class Groups of Number Fields 2021
pdf
https://youtu.be/BbeFny-C5sU
-
Why I love Monovariants: From Zombies to Conway's Soldiers to Fibonacci Games,
AMS Eastern Sectional, UMass Amherst 10/1/22
pdf (video from version given in Math 409: 9/26/33: https://youtu.be/p2-QfjgitQ8)
University of Pittsburgh 11/10/22
pdf
University of Maryland 3/29/23
pdf
(talk online:
https://youtu.be/n5I39r_CyuA) YPMD III, 17-1/17 mod 10,
17*119, Math Camp (New Jersey) 7/25/23, Williams College 7/26/23
pdf
-
Problem Child: Using Problems as a Springboard to Research,
MathFest: Problem Creation and Problem Solving Session, August 5, 2023
pdf
-
Math/Stat Thesis Showcase,
Williams College, April 12, 2024
pdf
-
Variants of Conway's Soldiers: Monovariant methods and Fibonacci jumping
(presented by Glenn Bruda and Joseph Cooper), 21st International Fibonacci
Conference, July 11th, 2024.
pdf
-
Properties of Generalizations of the Fibonacci Recurrence (presented by SMALL
2024), 21st International Fibonacci Conference, July 12th, 2024.
pdf
- Baseball / Sabermetrics Talks
- The Pythagorean Won-Loss Formula in Baseball (An Introduction to
Statistics and Modeling) (60 minute version) Brown
University (9/28/05) and (12/7/05):
slides(tab)
slide(no tab)
paper_pdf. Shorter 15 minute version: 2006
Hudson River Undergraduate Mathematics Conference (4/8/06):
slides(tab)
slides(no tab)Pythagoras at the Bat: An Introduction to
Statistics and Modeling (20 minute version): Society
For American
-
Baseball Research, Boston Meeting, Boston, MA (5/20/06):
slides(tab)
slides(no tab)
paper_pdf. Williams College (40 minute
version, 1/15/08):
pdf. Holy Cross (50 minute version, 2/7/08):
pdf. Western New England College (40 minute version, 1/15/08):
pdf. Connecticut Smoky Joe Wood SABR Chapter, Hamden, CT (30 minute
version, 2/16/08)
pdf. PROMYS Program, Boston University (40 minute
version, 7/25/08):
pdf.
Bennington College (2/27/09):
pdf
Hampshire College (7/22/09):
pdf
Wellesley (9/21/09):
pdf
Awards Night, University of Connecticut (4/12/10):
pdf
Virginia Tech (3/28/11):
pdf
UMass Amherst (10/19/11) and Fitchburg State University (11/3/11): pdf Boston
College (3/29/12)
pdf
Science Days talk to Prospective Williams Students (8/15/14)
pdf
and 8/12/16
pdf and 8/10/18 pdf University of Vermont (12/2/16, with an intro on
undergraduate research)
pdf
Developer Thursdays at Cloud85 (6/8/17):
pdf University of Michigan (11/29/17):
pdf San Francisco (to Williams Northern California Alumni Society, expanded version
with xSLG) (1/4/24)
pdf
Siena College (head-to-head added) (2/8/24):
pdf
Western New England (head-to-head expanded):
(4/26/24):
pdf
-
Pythagoras on the Ice: Hockey Conference, Babson
(10/1/16): pdf
- See also talks on Computers and Mathematics Education.
- Webpages with talks
/ posters
by students and colleagues at conferences
- Joint Meeting of the AMS/MAA, 2012: Boston, January 4 to 7, 2012: click here for a
webpage with all the talks, or
click here
for notes on the Panel on Undergraduate Research.
- Young Mathematicians Conference: Ohio State, July 27-29, 2012:
click here for a webpage with all the talks.
-
SMALL 2012 posters:
Poster 1 (Gaps, Phase Transitions)
Poster 2 (RMT, Maass)
-
SMALL 2012: end of summer
talk, Williams College, August 7, 2012.
-
Joint Meetings of the AMS/MAA, 2013: San Diego, January 9 to
12, 2013: click here for a webpage with all
the talks.
-
SMALL 2013: UMass Amherst 7/30/13 Williams
7/31/13 YMC August 2013:
Click here for talks and posters.
-
AMS Special Session on Difference Equations: Baltimore 2014:
homepage for
session, including links to talks available on YouTube.
-
2014 SMALL PANTHers Group: (Projects supervised with Caroline
Turnage-Butterbaugh, Nathan McNew and Ben Weiss)
- Biases in Elliptic Curve Families (Blake Mackall, Christina Rapti, Karl
Winsor): Yale REU Conference, July 25, 2014:
pdf
- A Benford Walk Down Wall Street (Xixi Edelsbrunner, Karen Huan, Blake
Mackall, Jasmine Powell, Madeleine Weinstein): Yale
REU Conference, July 25, 2014:
pdf
- Complex Ramsey Theory (Andrew Best, Karen
Huan, Nathan McNew, Jasmine Powell, Kimsy Tor, Madeleine Weinstein):
Yale REU Conference, July 25, 2014:
pdf
- Large gaps between zeros of GL(2) L-functions (Owen Barrett, Brian
McDonald, Patrick Ryan, Karl Winsor): Yale REU
Conference, July 25, 2014:
pdf (talk),
pdf
(poster)
- Benfordness of Zeckendorf Decompositions (Andrew Best, Patrick Dynes,
Xixi Edelsbunner, Brian McDonald, Kimsy Tor and Madeleine Weinstein):
16th International Conference on Fibonacci Numbers and
Their Applications, July 25, 2014:
pdf Fall Southeastern
Sectional Meeting of the AMS, Special Session on Difference Equations, March
7, 2014:
pdf
- Cookie Monster Meets the Fibonacci Numbers --- Mmmm, Theorems! (Andrew
Best, Patrick Dynes, Xixi Edelsbunner, Brian McDonald, Kimsy Tor and
Madeleine Weinstein): 16th International Conference on
Fibonacci Numbers and Their Applications, July 25, 2014:
pdf
- 2014 Quebec-Maine Number Theory
Conference
- SMALL 2015
- UConn REU Conference: A Ramsey Theoretic Approach to Function Fields and
Quaternions (Megumi Asada, Sarah Manski), July 28, 2015.
pdf
- Large Gaps Between Zeros of L-Functions Associated to GL(2) Cusp Forms
(given by David Burt & Blaine Talbut), Maine-Quebec Number Theory
Conference, October 3, 2015.
pdf
- A Ramsey Theoretic Approach to Finite Fields and Quaternions (given by
Sarah Manski), Maine-Quebec Number Theory Conference, October 3, 2015.
pdf
- Biases in Moments of Satake Parameters and Models for $L$-function Zeros
(with Kevin Yang), Maine-Quebec Number Theory Conference, October 3, 2015.
pdf
- From M\&Ms to Mathematics, or, how I learned to answer questions and
help my kids love math (joint with Cam and Kayla Miller), Maine-Quebec
Number Theory Conference, October 3, 2015.
pdf
(see also
https://www.youtube.com/watch?v=BXVRxLk8PKs&feature=youtu.be )
- SMALL 2016 and Carnegie Mellon 2016
- Williams College Summer Science Poster Session (if presented at Ohio
State as well, just listed there) and/or Williams Summer REU Conferencce
- RMT Poster: Checkerboard
Matrices and Limiting Spectral Distributions: Peter Cohen, Max Hlavacek,
Carsten Sprunger, Paula Burkhardt, Kevin Yang,
Jonathan Dewitt, Nhi Truong, and Roger Van Peski
- Zeckendorf Poster:
Summand Minimality of Generalized Zeckendorf Representations of Non-Negative
Linear Recurrence Relations: Katherine Cordwell, Max Hlavacek, Ngoc Yen Chi
Huynh, Carsten Peterson, and Yen Nhi Truong Vu
- Distance Talk:
Optimal point sets determining few distinct triangles: Alyssa Epstein and
Adam Lott: Williams College REU Conference: July 29, 2016
- Distance Poster: Classification of All Crescent Configurations on Four and
Five Points: Rebecca Durst and Magda Hlavacek
- Young Mathematicians Conference: Ohio State August 19-21, 2016 (the
posters were also presented at Williams College)
- Integer Complexity
Poster: Some Bounds on Integer Complexity: Katherine Cordwell and
Aaditya Sharma
- MSTD Poster: When almost all sets are difference dominated in
\(\mathbb{Z}/n\mathbb{Z}\): Adam Lott
- \(L\)-Functions Poster: Second Moments of Satake Parameters of
Convolutions of Families of \(L\)-functions: Andrew Kwon
- Zeckendorf Talk: A Collection of Central Limit Type Theorems in
Generalized Zeckendorf Decompositions: Ray Li
- Distance Talk: Classification of All Crescent Configurations on Four and
Five Points: Rebecca Durst and Magda Hlavacek
- RMT Talk: Deviations from large eigenvalues of a special matrix
ensemble: Carsten Sprunger and Peter Cohen
- \(L\)-Functions and RMT Talk: Extending agreement in the Katz-Sarnak
Density Conjecture: Peter Cohen and Carsten Sprunger
- \(L\)-Functions Talk: The Langlands Program: Beyond Endoscopy: Oscar
Gonzalez and Chung Hang Kwan (paper
here)
- Zeckendorf Talk: On Summand Minimality of Generalized Zeckendorf
Decompositions: Katherine Cordwell and Magda Hlavacek
- Number Theory Talk: Near-perfect, within-perfect, and order-a-abundant
numbers: Adam Lott and Chung Hang Kwan
- SMALL 2017
- Variance of Gaussian Primes Across
Sectors and the Hecke L-Function Ratios Conjecture (given by Jared
Lichtman and Shannon Sweitzer), Young Mathematicians Conference, Ohio State,
August 2017.
- Limiting Distributions in Generalized
b-bin Zeckendorf Decompositions (given by Shannon Sweitzer and Jianing
Yang), Young Mathematicians Conference, Ohio State, August 2017. (poster
here)
- Bounds for High Vanishing in Families
of L-Functions (given by Eric Winsor and Ryan Chen), Young
Mathematicians Conference, Ohio State, August 2017.
- Spectral Statistics of Non-Hermitian
Random Matrix Ensembles (given by Ryan Chen and Eric Winsor), Young
Mathematicians Conference, Ohio State, August 2017.
- Lower order biases in Fourier
coefficients of elliptic curve and cuspidal newform families (given by
Jianing Yang and Jared Lichtman), Young Mathematicians Conference, Ohio
State, August 2017.
- Slow Decay and Missing Term
Distributions in Generalized Sum and Difference Sets (poster given by
Eric Winsor), Young Mathematicians Conference, Ohio State, August 2017.
- SMALL 2018 (plus CMU)
(Maria
R Ross and Casimir M Kothari),
Young Mathematicians Conference, Columbus, Ohio, August 10, 2018.
pdf
-
Playing Ball with the
Largest Prime Factor
(Madeleine
L Farris),
Young Mathematicians Conference, Columbus, Ohio, August 10, 2018.
pdf
-
Linear Recurrence
Relations with Non-constant Coefficients and Benford's Law
(Mengxi
Wang and Lily Shao),
Young Mathematicians Conference, Columbus, Ohio, August 10, 2018.
pdf
-
Graph-Restricted
Decompositions: A Further Generalization of Zeckendorf's Theorem
(Noah
Luntzlara and Hunter Wieman),
Young Mathematicians Conference, Columbus, Ohio, August 11, 2018.
pdf
-
Rank and Bias in
Families of Hyperelliptic Curves via Nagao's Conjecture
(Ben
C Logsdon and Trajan A Hammonds),
Young Mathematicians Conference, Columbus, Ohio, August 11, 2018.
pdf
-
Phase transitions in the
distribution of missing sums
(Hung
Viet Chu and Lily Shao), Young
Mathematicians Conference, Columbus, Ohio, August 11, 2018.
pdf
-
Gaussian Behavior in Zeckendorf Decompositions Arising
From Lattices
(Joshua Siktar), Young Mathematicians Conference, Columbus, Ohio, August 12,
2018.
pdf
-
Eigenvalue Distribution
of Kronecker Products of Random Matrices
(poster;
Mengxi Wang and Noah Luntzlara),
Young Mathematicians Conference, Columbus, Ohio, August, 2018.
pdf
-
Sato-Tate in Arithmetic
Progressions and Lehmer's Conjecture
(poster;
Trajan A Hammonds and Casimir M Kothari), Young
Mathematicians Conference, Columbus, Ohio, August, 2018.
pdf
SMALL 2019
- Erdos Distance Problem
- Crescent Configurations In Non-Euclidean Norms Speakers: Sara Fish,
Dylan King, Catherine Wahlenmayer,
Conference for New England REU. 7/23/19.
pdf
Young Mathematicians Conference,
August 9, 2019
pdf
Maine-Qu\'ebec Number Theory Conference, October 5,
2019.
pdf
- Convolutions
- Extensions of Autocorrelation Inequalities with Applications to Additive
Combinatorics,
Young Mathematicians Conference,
August 10, 2019
pdf
- L-functions
- Zeros of L-Functions near the Central Point and Optimal Test Functions
Speakers: Charles Devlin,
Conference for New England REU. 7/23/19.
pdf
Young Mathematicians Conference,
August 9, 2019
pdf
Maine-Qu\'ebec Number Theory Conference, October 5, 2019.
pdf
- MSTD
- Distribution of Missing Sums in Correlated Sumsets Speakers: Thomas
Martinez, Dylan King and Chenyang Sun,
Conference for New England REU. 7/23/19.
pdf
Young Mathematicians Conference,
August 10, 2019.
pdf
Poster at Harvy Mudd September 2019.
pdf
Shenandoah Undergraduate Mathematics and Statistics Conference, September
21, 2019
pdf
- Random Matrix Theory
- ABBA and the Random Matrix Discotheque Speakers: Keller Blackwell and
Wanqiao Xu (Joint work with Neelima Borade, Charles Devlin VI, Renyuan Ma,
and Leticia Mattos da Silva),
Conference for New England REU. 7/23/19.
pdf Joint Math Meetings, Denver, January 15, 2020.
pdf
- Spies and Traitors: Random Matrix Kaleidoscopes and their Turncoat Eigenvalues Speakers: Neelima Borade and Renyuan Ma,
Conference for New England REU. 7/23/19.
pdf
Young
Mathematicians Conference,
August 10, 2019. pdf
Poster at the Joint Mathematics Meetings, Denver January 17, 2020
pdf
-
When Bands Play in Random Matrix Theory,
Young Mathematicians Conference,
August 10, 2019.
pdf (poster)
pdf (talk)
- Zeckendorf
- Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences
Speakers: Clayton Mizgerd, Thomas Martinez and Chenyang Sun,
Conference for New England REU. 7/23/19.
pdf; 20th
International Fibonacci Conference, July (pre-recorded), 2022.
https://youtu.be/cwJ1nnEAoFA
-
Fibonacci Quilt
Game Speakers: Alexandra Newlon, Neelima Borade, Annie Xu, Catherine
Wahlenmayer,
Conference for New England REU. 7/23/19.
pdf. Poster at YMC at Ohio State: Aug 2010:
pdf (zipped files
here)
Women in Mathematics in New England, September 21, 2019.
pdf
Women in Mathematics in New England, September 21, 2019.
pdf
Undergraduate Mathematics Symposium, University of Illinois (11/2/19).
pdf
JMM Poster, January 2019.
pdf
- Distribution of gaps in Zeckendorf Decompositions from d-dimensional
Lattices: Neelima Borade and Annie Xu,
Young Mathematicians Conference,
August 10, 2019.
pdf
SMALL / POLYMATH 2020
- Erdos Distance Problem
- Tinkering with Lattices: A New Take on the Erdos Distance Problem (Elena
Kim, Fernando Trejos Suarez, Jason Zhao), Young Mathematicians Conference,
August 2020.
https://youtu.be/vP9cqGTwQcU. Also Quebec-Maine Number Theory
Conference, September 26, 2020. pdf
- MSTD
- Constructions of Generalized MSTD Sets in Higher Dimensions (Elena Kim,
John Lentfer, John Haviland, Phuc Lam, Fernando Trejos Suarez), Young
Mathematicians Conference, August 2020. Video:
https://youtu.be/znYNJYFgE48
- More Sums Than Differences Sets in Finite Non-Abelian Groups (John
Haviland, John Lentfer, Elena Kim, Phuc Lam, Fernando Trejos Suarez), Young
Mathematicians Conference, August 2020.
https://youtu.be/_K9KoDVlv1Q
- Optimal Test Functions
- Determining optimal test functions for 2-level densities (Ela Boldyriew,
Fangu Chen, Jason Zhao), Young Mathematicians Conference, August 2020.
https://youtu.be/2sqlbz06J1U
Quebec-Maine Number Theory Conference, September 26, 2020 (Jason Zhao): pdf
- Prime Walks
- Prime Walks to Infinity in Z[sqrt(2)] (Daniel Sarnecki and Bencheng Li),
Northeast REU Math Conference and Young Mathematicians Conference, August 2020. Video:
https://youtu.be/cXnM0E-11qg;
also PAJAMAS September 20, 2020:
pdf
(video
here)
- Walking to Infinity Along Some Number Theory Sequences (Tudor Popescu,
Saam Rasool, Ploy Wattanawanichkul). PAJAMAS September 19, 2020:
pdf
(video
here)
- RMT
- Split limiting behavior of random matrices with prescribed discrete
spectra (Yuxin Lin, Jiahui Yu, Fangu Chen), Young Mathematicians Conference,
August 2020.
https://youtu.be/7fg5ub5j7uI
- Virus Propagation
- Extending Virus Dynamics to k-level Star-Like Graphs (Akihiro Takigawa,
Jack Murphy, Rodrigo Bravo), Young Mathematicians Conference, August 2020.
https://youtu.be/vyuYEgQcchY
- Zeckendorf
- Juggling Coefficients in Complete Recurrent Sequences (Ela Boldyriew,
Phuc Lam, John Lentfer), Young Mathematicians Conference, August 2020.
https://www.youtube.com/watch?v=Au4lKJlthZ4&feature=youtu.be
- Analytic Approaches to Completeness of Generalized Fibonacci Sequences
(Fernando Trejos, John Lentfer, John Haviland, Ela Boldyriew, Phuc Lam),
Young Mathematicians Conference, August 2020.
https://www.youtube.com/watch?v=R_PYpJpb9wU&feature=emb_logo
- Bounding the Zeroing Algorithm: A Tool for Investigating Linear
Recurrence Relations (Jack Murphy), Young Mathematicians Conference, August
2020.s://youtu.be/j0npXDk4KGI
- Zeckendorf Games (Kevin Ke, Carl Ye, Vashisth Tiwari), Northeast REU
Math Conference and Young
Mathematicians Conference, August 2020.
https://www.youtube.com/watch?v=usOXOlY0tlE
- Juggling Coeffcients in Complete Recurrent Sequences (given by Elzbieta
Boldyriew, John Haviland, Phuc Lam, John Lentfer and Fernando Trejos
Suarez), CANT 2021, 5/26/21.
pdf
(video
here)
-
Winning
Strategy of Multiplayer and Multialliance Geometric Game -- A Game Stemming
From the Fibonacci Zeckendorf Game (presented by Carl Ye),
21st International Fibonacci Conference, July 9th, 2024.
pdf
SMALL / POLYMATH 2021
- Benford's Law
-
Benfordness of the Riemann Mapping Function for the Reciprocal of the
Mandelbrot Set (given by
Filippo Beretta,
Jesse Dimino,
Weike Fang),
Young Mathematicians Conference, Ohio State, August 2021.
- Erdos Distance Problems
-
Thresholds for the Existence of Similar Area Configurations (given by Ben
Bailey and Arian Nadjimzadah),
Young Mathematicians Conference, Ohio State, August 2021.
-
Extending Erdos Distinct Distance Problems to Angles (given by Henry
Fleischmann Hongyi Hu),
Young Mathematicians Conference, Ohio State, August 2021.
pdf
-
Erdos Distinct Distance Problem (given by Henry
Fleischmann and Ethan Pesikoff), AMS Special Session on Distance Problems in
Continuous, Discrete and Finite Field Settings, Joint Math Meetings, Jan 7,
2023.
pdf
- Fibonacci/Zeckendorf
- Complexity of the Zeckendorf Graph Game
(given by
Ben Baily, Faye Jackson, Ethan Pesikoff),
Young Mathematicians Conference, Ohio State, August 2021.
- A Stochastic Central Limit Theorem and Applications to Integer
Decompositions
(given by Ben Bailey,
Alicia Smith-Reina,
Yingzi Yang),
Young Mathematicians Conference, Ohio State, August 2021.
- The Bergman Game
(given by Faye Jackson, Ethan Pesikoff,
Luke Reifenberg),
Young Mathematicians Conference, Ohio State, August 2021. 20th
International Fibonacci Conference, July 26, 2022.
-
Winning Strategy of Two-Player, Multiplayer and Multialliance Generalized
Zeckendorf Game
(given by ), Young Mathematicians Conference, Ohio State, August 2021.
-
Sums of Reciprocals of Recurrence Relations (given by Sophia Davis, Alicia
Reina Smith and Eliel Sosis), 20th International Fibonacci Conference, July
28, 2022.
https://youtu.be/jfaS-3pqi_k
- General Number Theory
-
Reducibility of Sets in Generalized Settings
(given by Justine Dell,
Henry Fleischmann, Faye Jackson),
Young Mathematicians Conference, Ohio State, August 2021.
pdf
-
Extending Support in calculating the n-level density of low lying zeros of
families of L-functions
(given by Justine Dell,
Simran Khunger,
Alexander Shashkov, Stephen Willis),
Young Mathematicians Conference, Ohio State, August 2021. Maine-Quebec
Number Theory October 5, 2021.
pdf
Upstate Number Theory Conference, Union College, October 24, 2021.
pdf
-
One-level density of a family of L-functions over function fields
(given by
Dang Dang, Hari Iyer,
Sanford Lu),
Young Mathematicians Conference, Ohio State, August 2021.
-
Prime walk (Walking to Infinity Along Some Number Theory Sequences)
(given by
Fei Peng,
Tudor Popescu),
Young Mathematicians Conference, Ohio State, August 2021.
-
A Novel Generalization of Diophantine $m$-tuples in Finite Fields
(given by Arjun Nigam, Kyle Onghai, Dishant Saikia, Lalit Sharma), Young
Mathematicians Conference, Ohio State, August 2021.
- Random Matrix Theory
- Closed form densities for the limiting spectral measure of random
circulant Hankel matrices
(given by Teresa Dunn,
Henry Fleischmann,
Alexander Shashkov),
Young Mathematicians Conference, Ohio State, August 2021.
pdf
SMALL / POLYMATH / OTHER 2022
- Benford's Law
- Benfordness of lower-dimensional spaces resulting from hyper-box
fragmentation (given by Livia Betti and Zoe McDonald), Young Mathematicians
Conference August 14, 2022.
pdf
- Benfordness of measurements resulting from box fragmentation (given by Livia Betti and Zoe McDonald),
The International Conference on Advances in Interdisciplinary Statistics
and Combinatorics, October 8, 2022.
pdf
- A New Benford Test for Clustered Data with Applications to American
Elections (given by Katie Anderson), International Conference on Advances in
Interdisciplinary Statistics and Combinatorics, October 8, 2022.
pdf
- CGDS
- Distinct Angles and Angle Chains in Three Dimensions (given by Ruben Ascoli and Jacob Lehmann Duke), Young Mathematicians Conference August 14,
2022.
pdf
(poster at williams:
pdf)
- Learning Spheres and Chains in F_q^d (given by Wyatt Milgrim and Ryan
Jeong), Young Mathematicians Conference August 14, 2022.
pdf
Symposium for Undergraduate Mathematics Research (SUMR), SUNY New Paltz,
September 10, 2022.
pdf
- Distinct Angles and Angle Chains in $\textbf{R}^3$} (given by Ruben
Ascoli), AMS Special Session on Distance Problems in Continuous, Discrete
and Finite Field Settings, Joint Math Meetings, Jan 7, 2023.
pdf
- VC-Dimension and Distance Chains in F_q^d (given by Wyatt Milgrim), AMS
Special Session on Distance Problems in Continuous, Discrete and Finite
Field Settings, Joint Math Meetings, Jan 7, 2023.
pdf
- Generalized German Tank Problem
- Generalizing the German Tank Problem: Math/Stats at War! (given by
Anthony Lee), AISC Conference at UNC Greensboro, October 8, 2022.
pdf
- Fibonacci/Zeckendorf
- Continuing Analysis of the Zeckendorf Game (given by SMALL 2022), 20th
International Fibonacci Conference, July 28, 2022.
pdf
- Generalized (c-k)-nacci Zeckendorf Game (given by Carl Ye), 20th
International Fibonacci Conference, July (pre-recorded), 2022.
https://www.youtube.com/watch?v=OVQBcaDM1nk
pdf
- Generalizing Minimality Properties of Far-Difference Fibonacci
Decompositions (given by Andrew Keisling and Jacob Lehmann), Young
Mathematicians Conference August 13, 2022.
- On Zeckendorf Related Partitions Using the Lucas Sequence (given by
David Luo), 20th International Fibonacci Conference, July 28, 2022.
pdf
- Random and Maximal Lengths of Zeckendorf Games (given by Guilherme
Dantas and Prakod Ngamlamai), Young Mathematicians Conference August 14,
2022.
pdf
- S-Legal Index Difference Decompositions (given by SMALL 2022), 20th
International Fibonacci Conference, July 28, 2022.
https://youtu.be/vs_1crrf-v4
pdf and
Joint Math Meetings January 2023
pdf (and
MASON VI, March 18, 2023).
- Short-Range and Random Differences in the Number of Summands of
Zeckendorf Decompositions (given by SMALL 2022), 20th International
Fibonacci Conference, July 25, 2022.
https://youtu.be/t76MU_TEgJY
- Short-Range Differences of the Number of Summands of Zeckendorf
Decompositions (given by Guilherme Dantas, Xuyan Liu and Jack Miller, Young
Mathematicians Conference August 14, 2022.
pdf
- The Far Difference Game (given by SMALL 2022), 20th International
Fibonacci Conference, July 25, 2022.
https://www.youtube.com/watch?v=XR-CK1_E-JU
pdf
- The Far Difference Game (given by SMALL 2022), Young Mathematicians
Conference, August 14. 2022,
pdf
- Walking to Infinity on the Fibonacci Sequence (given by Nawapan
Wattanawanichkul), 20th International Fibonacci Conference, July
(pre-recorded), 2022.
https://youtu.be/Hgxo7Wv7oc8
pdf
- The Accelerated Zeckendorf Game (given by Ajmain Yamin), Hunter College
Math Colloquium, March 16, 2023.
pdf
- L-Functions
- An alternative method for calculating Bessel integrals appearing in
L-function zero statistics (given by Astrid Lilly and Santiago Velazquez),
Young Mathematicians Conference, August 13, 2022.
pdf
- Bounding ranks of cuspidal newforms through excised orthogonal ensembles
(given by Astrid Lilly and Xuyan Liu), Young Mathematicians Conference,
August 13, 2022.
pdf
- An excised orthogonal model for families of cusp forms (Andrew Keisling,
Xuyan Lu, Annika Mauro Zoe McDonald, Santiago Miguel Jack Miller),
Quebec-Maine Number Theory Conference, October 15, 2022.
pdf ( video here:
https://youtu.be/d_FOSmou9mk )
- Generalized harmonic estimates for the n-level density of L-functions
(given by Annika Mauro and Jack Miller), Young Mathematicians Conference
August 13, 2022.
pdf
- Extending the support of 1- and 2-level densities for cusp form
L-functions under square-root cancellation hypotheses (Annika Mauro and Jack
Miller), Quebec-Maine Number Theory Conference, October 15, 2022.
pdf
(video here:
https://youtu.be/CDwHaLM7umE )
- MSTD
- Binomial Sets Under Z-Linear Forms (Ryan Jeong), Young Mathematicians
Conference, August 16, 2023.
- Sum and Difference Sets in Semidirect Products of Groups (given by
Matthew Phang and Andrew Keisling), Young Mathematicians Conference August
13, 2022.
pdf
- Sum and Difference Sets in Generalized Dihedral Groups (given by Ruben
Ascoli), Midwest Conference on Combinatorics and Combinatorial Computing,
October 22, 2022.
pdf
CANT 2023
pdf
- On the Relative Sizes of Complements of Generalized Sumsets (given by
Ryan Jeong), The 21st International Conference on Random Structures and
Algorithms, June 16, 2023.
pdf
- Polymath Jr REU
- Avoiding 3-term Geometric Progressions in Non-Commutative Settings
(Polymath Ramsey Group), Polymath REU Conference, August 13, 2022.
pdf
- Linear Recurrences of Order at Most Two in Nontrivial Divisors (given by
Liyang Shen), CANT 2023, May 23, 2023.
pdf
- On Some Observations about a prime
factorization sequence called F-palindromes (given by Chris Bispels and
Garam Choi), AMS Special Session on Polymath Jr: Mentoring and Learning,
Joint Math Meetings, Jan 7, 2023.
pdf
- A Characterization of Prime $v$-palindromes (given by
Muhammet Boran and Daniel Tsai), CANT 2023, May 26, 2023.
pdf
- The Accelerated Zeckendorf Game (presented by Diego Garcia-Fernandezsesma),
21st International Fibonacci Conference, July 9th, 2024.
pdf
SMALL / POLYMATH / OTHER 2023
SMALL / POLYMATH / OTHER 2024
-
Benford's Law
- Benford's Law and Multinomial Distributions in Stick Fragmentation
(presented by Ella Lippelman), August 14, 2024.
pdf
-
Chess
- Getting Hype About Hyper-Bishops: Probabilities of safe squares on
higher-dimensional chess boards (presented by Caroline Cashman, Joe Cooper,
Raul Marquez, Jenna Shuffelton), Summer Science Poster Session, Williams
College, August 2, 2024.
pdf
- Diophantine Equations
- A Pair of Diophantine Equations Involving Fibonacci Numbers (X. Chen, H.
V. Chu, F. K. Kesumajana, T. Kim, L. Li, S. J. Miller, J. Yang, C. Yao),
Polymath Jr Conference, August 11, 2024.
pdf
- Elliptic Curves
- Second Moment Calculations for One-Parameter Families of Elliptic Curves
(presented by Pico Gilman and Marie-Helene Tome), Young Mathematicians
Conference, August 13, 2024.
pdf
- Numerical Investigation of Lower Order Biases in Moment Expansions of
One-Parameter Families of Elliptic Curves (presented by Timothy Cheek and
Marie-Helene Tome), Quebec-Maine Number Theory Conference, October 6, 2024.
pdf
- Erdos Distance Problems
- Congruence Classes of Simplex Structures in Finite Field Vector Spaces
(presented by Kareem Jaber and Vismay Sharan), Young Mathematicians
Conference, August 15, 2024.
pdf
- Fibonacci Numbers
- Variants of Conway's Soldiers: Monovariant methods and Fibonacci jumping
(presented by Glenn Bruda and Joseph Cooper), 21st International Fibonacci
Conference, July 11th, 2024.
pdf
- Properties of Generalizations of the Fibonacci Recurrence (presented by
SMALL 2024), 21st International Fibonacci Conference, July 12th, 2024.
pdf
- L-Functions
- Extending the support for n-th centered moments of a family of automorphic
L-functions (presented by Timothy Cheek and Marie-Helene Tome), Young
Mathematicians Conference, August 14, 2024.
pdf Quebec-Maine
Number Theory Conference, October 5, 2024.
pdf
Random Matrix Theory and \(L\)-Functions
Random Matrix Theory and
Elliptic Curves
Elliptic Curves
Random Matrix
Ensembles
Analysis
&
Probability (especially Benford's Law)
Computers and Mathematics
Education
Colloquium Talks
Baseball (Sabermetrics)
Joint
Meetings (Boston 2012, introductory talks)
Thesis
Papers
Talks
Books:
Invitation Modern
Number Theory
Mathematics of Encryption
Benford's Law
Handouts
My
Riddles Page
- RESEARCH INTERESTS:
Analytic Number Theory, Random Matrix Theory,
Probability (zeros and n-level statistics for
families of \(L\)-functions, especially families of elliptic curves with rank over Q(T), classical random matrix theory, random graphs,
computational number theory, Benford's Law, cryptography, linear programming, sabermetrics, ...).
Thesis
Papers
Talks
Books:
Invitation Modern
Number Theory
Mathematics of Encryption
Benford's Law
Handouts
My
Riddles Page
LINKS:
photos of Cam
Pictures
Twistie
Art
Arxiv
MathSciNet
Mathlabs (Princeton
, NYU,
OSU,
AIM)
Williams Math
Williams College
Spencer Neighborhood
RECENT CONFERENCES: Undergrad Research Panel (Boston 2012)
Undergrad
Research Session (HC 2011 and
BC 2013)
NOTE: At some point my pages will be migrating to
https://sites.williams.edu/sjm1/