
Steven J. Miller Professor of Mathematics, Williams College 18 Hoxsey St, Williamstown, MA (sjm1 AT williams.edu)
NOTE: At some point my pages will be migrating to
https://sites.williams.edu/sjm1/

curriculum vita (click
here for annotated bibliography) research statement and teaching statement Takeaways (all classes) Welcome letter to Williams Students Possible thesis / colloquium projects Opportunities in Mathematics (REUs, gradschool) photos of Cam and Kayla 
If there are several versions of a talk, the later version is usually the more 'complete' (ie, correct) version.
Method of Least Squares: (my notes on the Method of Least Squares): Video: https://youtu.be/I2Z47ypMtBI ( my slides on the method of least squares )
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)
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).
Schreier multisets and the sstep Fibonacci sequences, Integers Conference, University of Georgia, May 18, 2023. pdf Talk: https://youtu.be/hfBz74xDFls
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
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)
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. MaineQuebec 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, pre100k Step Preparation, October 4, 2024 (video: https://youtu.be/plcuC64a6E). 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
For more for those just knowing Algebra I:
For more for those with more comfort with higher mathematics:
slides: pdf (notes from lecturing included)
paper on irrationality
constructions: Rational irrational proofs (with David Montague), Mathematics
Magazine (85 (2012), no. 2, 110114). pdf (expanded
version: pdf;
letter from Nerode and Tennenbaum on history of proof: 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)
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
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 (headtohead added) (2/8/24): pdf Western New England (headtohead expanded): (4/26/24): pdf
Pythagoras on the Ice: Hockey Conference, Babson (10/1/16): pdf
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 / OTHER 2023
Benford's Law (SMALL)
Generalized stick fragmentation and Benford's Law (Xinyu Fang and Maxwell Sun), Young Mathematicians Conference, August 16, 2023. pdf
Diophantine Equations and Number Theory (Polymath Jr)
On a pair of Diophantine Equations (S. U. , H. V. Chu, J. Liu, G. Luan, R. Marasinghe and S. J. Miller), Polymath Jr Conference, August 13, 2023. pdf Joint Math Meetings, AMS Special Session on Polymath Jr, January 6, 2024. pdf Combinatorial and Additive Number Theory: May 22, 2024: pFIXdf
Power Sums of Primes in Arithmetic Progression (Muhammet Boran, Yildiz, John Byun, Zhangze Li, Steven Joel Miller and Stephanie Reyes), Joint Math Meetings, AMS Special Session on Polymath Jr, January 6, 2024. pdf
Sum of Consecutive Terms of Pell and Related Sequences (Alexander Gong), Young Mathematicians Conference: August 2023.
Fibonacci Numbers
Dynamics of the Fibonacci Order of Appearance Map (given by Amanda Verga), Contributed Talk, Joint Mathematics Meetings, San Francisco, January 2024. pdf
Sum of Consecutive Terms of Pell and Related Sequences (presented by Navvye Anand), 21st International Fibonacci Conference, July 8th, 2024. pdf
The Reversed Zeckendorf Game (presented by Akash Narayanan and Chris Yao), 21st International Fibonacci Conference, July 12th, 2024. pdf
LFunctions (SMALL)
Biases in Second Moments of Elliptic Curves (Zoe Batterman and Aditya Jambhale), Young Mathematicians Conference, August 16, 2023. pdf
Biases in Second Moments of Elliptic Curves (Aditya Jambhale and Akash L. Narayanan), MaineQuebec Number Theory Conference, September 30, 2023. pdf
Modeling the Vanishing of Lfunctions at the Central Point (Zoe Batterman and Akash L. Narayanan), Young Mathematicians Conference, August 16, 2023.
Modeling the Vanishing of Lfunctions at the Central Point (Zoe Batterman and Chris Yao), MaineQuebec Number Theory Conference, October 1, 2023. pdf
Modeling the Vanishing of Lfunctions at the Central Point (Zoe Batterman, Akash L. Narayanan and Chris Yao), 2024 CIRM 6th EU/US Conference on Automorphic Forms and Related Topics, September 9, 2024. pdf
MSTD (SMALL)
Limiting Behavior in Missing Sums of Sumsets (poster: Aditya Jambhale, Rauan Kaldybayev, Chris Yao), Williams College Science Poster Session: August 4, 2023: pdf
Limiting Behavior in Missing Sums of Sumsets (Rauan Kaldybayev), Young Mathematicians Conference: August 16, 2023: pdf Combinatorial and Additive Number Theory: May 22, 2024: pdf
SMALL / POLYMATH / OTHER 2024
Benford's Law
Chess
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
Thesis Papers Talks Books: Invitation Modern Number Theory Mathematics of Encryption Benford's Law Handouts My Riddles Page
Williams Classes: Fall 2021: Probability: Math/Stat 341. Complex Analysis: Math 383. Spring 2022: Multivariable Calculus: Math 150 (earlier version).
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/