Steven J. Miller                                                       Associate Professor of Mathematics, Williams College                202 Bronfman Science Center, 413-???-???? (Steven.J.Miller AT williams.edu)   Click here for my schedule

curriculum vita (click here for annotated bibliography) research statement teaching statement     Welcome letter to Williams Students Possible thesis / colloquium projects Opportunities in Mathematics (REUs, gradschool) photos of Cam and Kayla

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RESEARCH INTERESTS:  Analytic Number Theory, Random Matrix Theory, Analysis and Probability (distribution of 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, ranks of elliptic curves, computational number theory, probability theory, Benford's Law, cryptography, linear programming, multiple Dirichlet series, sabermetrics, ...).

      Thesis         Papers        Talks     My Book (Invitation to Modern Number Theory)      Handouts      My Riddles Page

1 and 2 Level Density Functions for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries.
 
Advisors: Peter Sarnak, Henryk Iwaniec

Princeton University: May 2002

Abstract:         dvi   ps   pdf

Introduction:   dvi   ps   pdf

Thesis:            dvi   ps   pdf

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     My Book (Invitation to Modern Number Theory)      Handouts      My Riddles Page       Notes Graduate Workshop Lfns-RMT

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COURSES:     Welcome letter to Williams Students    Possible thesis / colloquium projects   Green Chicken contest

• Williams Classes: Current classes: 2012 - 2012: Math 341 (Probability), Math 416 (Advanced Applied Linear Programming); Spring: Math 105 (see links below for 2011 iteration)
  • Calculus: Math 103 (Calculus I), Math 105 (Multivariable Calculus; Math 105 2010 iteration)
  • Analysis and Probability: Math 209 (Differential Equations and Vector Calculus), Math 302 (Complex Analysis), Math 341 (Probability; Math 341 2009 iteration)
  • Number Theory: Math 10 (cryptography, winter study), Math 308/406 (Analysis and Number Theory), Math 406 (Analysis and Number Theory);
  • Senior Seminars: Math 308/406 (Analysis and Number Theory), Math 406 (Analysis and Number Theory); Math 416 (Advanced Applied Linear Programming)
  • Independent Studies:   Putnam Independent Study (Fall 2010), Math 399 (Sabermetrics)
• Smith / Mount Holyoke: Math 238 (number theory, Smith 2011), Math/Stat 342 (Probability, MH 2011), Math 395 (Linear Programming, MH 2011)
• Brown: Math 1 (freshman seminar: riddles to modern mathematics), Math 90 (calc I, summer calc I), Math 35 (honors multivariable calculus), Math 52 (linear algebra), Math 54 (honors linear algebra), Math 153 (abstract algebra),  Math 162 (mathematical statistics), Math 197 (Benford's law, sabermetrics)
• Ohio State: Math 104 (Basic College Mathematics), Math 148 (Algebra, Trigonometry and their Applications), Math 187/487 (Problem / Advanced Problem Solving), Math 683L (Topics in Linear Algebra), Working groups (Euler, fractals)

LINKS:    photos of Cam  Pictures  Twistie Art Arxiv     MathSciNet  Mathlabs (Princeton , NYU, OSU,  AIM) Williams Math Williams College  Spencer Neighborhood

RECENT CONFERENCES:    Undergraduate Research Panel (Boston 2012)      Random Processes (Holy Cross, April 2011)     Undergraduate Research Session (Holy Cross, April 2011)