Any comments about how to improve any of these notes are welcome.
These are the slides or notes that I wrote up for talks that I have given.
Sieving, Property Tau, and
3-Manifolds University of Wisconsin-Madison,
Group Theory Seminar. PDF.
Eulerian Series as Modular
Forms University of Illinois Urbana-Champagne and University of
Wisconsin Madison,
Number Theory Seminar. PDF.
Entropy of Convolutions on the
Circle UCLA Summer School in Ergodic Theory,
September 17-22, 2006.PDF.
Riemann Surfaces. University
of Wisconsin Algebraic Topology Class,
April 21, 2006.PDF.
Points On Curves. University
of Wisconsin Undergraduate Math Club,
February 13, 2006.PDF.
p-adic and Combinatorial
Properties of Modular Form Coefficients. University of Wisconsin
Number Theory Seminar,
November 22, 2005. PDF.
All The Tricks I Know. Bucknell
University Student Putnam Session,
September 29, 2005.PDF.
Reducing Complicated Objects
to Simple Ones: Coefficients of Modular Forms. Bucknell University
Student Colloquium Series,
September 27, 2005. PDF.
These are the written notes for classes I have taken. I take full responsibility for any mistakes that may appear in the notes.
Elliptic Curves and Modular
Forms taught by Jordan Ellenberg
Spring 2008, University of Wisconsin. PDF.
Introduction to the Langlands
Program taught by Yannan Qiu
Spring 2008, University of Wisconsin. PDF.
Rational Points on Varieties
taught by Jordan Ellenberg
Fall 2005, University of Wisconsin. PDF.
Elliptic Curves and Modular
Forms taught by Nigel Boston
Spring 2006, University of Wisconsin. PDF.
Errata from Robert Ash PDF
Solutions to Problems from
Stein and Shakarchi's Complex Analysis Book PDF.
These are notes from various talks that I have attended. I take full responsibility for all mistakes or incorrect statements that appear in the notes.
Matthew Young:
Restricted $L^2$ Norm of a $GL_3$ Maass Form
November 12, 2010, Stanford University Number Theory Seminar. PDF.
Jeff Hoffstein: Shifted Multiple Dirichlet Series
November 5, 2010, Stanford University Number Theory Seminar. PDF.
Akshay Venkatesh:
Spherical Varieties
October 29, 2010, Stanford University Quantum Groups Seminar. PDF.
Takashi Taniguchi:
The Secondary Term in the Counting Function of Cubic Field Discriminants
October 29, 2010, Stanford University Number Theory Seminar. PDF.
George Andrews: Orthogonal Polynomials
March 8, 2010, workshop on Mock Modular Forms and q-series at American Institute of Mathematics.
PDF.
Andrew Snowden: Elements of Automorphic Theory
in Lifting Theorems
January 29, 2010, Stanford University Modularity Lifting Seminar. PDF.
Brian Conrey: Zeros of L-functions
January 29, 2010, Stanford University Informal Number Theory Seminar. PDF.
Peter Stevenhagen: Inverse Point Counting
January 29, 2010, Stanford University Number Theory Seminar. PDF.
George Andrews: Partitions, Orthogonal Polynomials,
and q-series
January 14, 2010, Joint Meeting of the AMS and MAA in San Francisco. PDF.
Joe Harris: On The Interpolation Problem
January 13, 2010, Joint Meeting of the AMS and MAA in San Francisco. PDF.
Manjul Bhargava: The Factorial
Function, Integer Valued Polynomials, and p-adic Calculus
January 13, 2010, Joint Meeting of the AMS and MAA in San Francisco. PDF.
Notes from the Problem
Session on May 22 during the conference on Analytic Number Theory and
Higher Rank Groups
May 22, 2008, New York University. PDF.
Philippe Michel: Three
introductory talks on the distribution of CM points, subconvexity, and
generalizations and a research talk on uniform subconvexity for
L-functions on GL(2).
May 19 - 22, 2008, Analytic Number Theory and Higher Rank Groups. PDF.
Akshay Venkatesh: Analytic
Number Theory in Function Fields
April 10, 2008, University of Toronto Colloquium. PDF.
Akshay Venkatesh: Random
Permutations in Number Theory
April 9, 2008, Clay-Fields Conference on Additive Combinatorics, Number
Theory, and Harmonic Analysis. PDF.
Terrence Tao: Mobius and
Nilsequence Conjecture
April 6, 2008, Clay-Fields Conference on Additive Combinatorics, Number
Theory, and Harmonic Analysis. Two talks PDF.
Antal Balog: Trigonometric
Sums with Multiplicative Coefficients
April 6, 2008, Clay-Fields Conference on Additive Combinatorics, Number
Theory, and Harmonic Analysis. PDF.
Jordan Ellenberg: Congruence
Subgroups and Cohomology
February 18, 2008, University of Wisconsin Group Theory seminar. PDF.
Jeremy Rouse: The Birch and
Swinnerton-Dyer Conjecture.
August 15, 2005, University of Wisconsin Summer REU in Mathematics. PDF.
Ben Brubaker: Multiple
Dirichlet Series.
Sepetemer 22, 2005, University of Wisconsin Number Theory Seminar. PDF.
Andrew Booker.
November 4, 2005, 2005, Midwest Number Theory Conference held at
University of Wisconsin. PDF.
Craig Westerland: An
Introduction to Stable Homotopy Theory.
November 22, 2005, University of Wisconsin Algebraic Topology Class. PDF.
Jordan Ellenberg: An
Application of Ergodic Theory to a Classical Problem in Number Theory
December 9, 2005, University of Wisconsin Colloquium. PDF.
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