Jared Weinstein

jared at math dot berkeley dot edu

Click here for Math 55, Discrete Math, Summer 2007.

Welcome to my webpage. I am a graduate student in the math department at Cal. My advisor is Ken Ribet. I will graduate in May 2007.

Update, 5/15/07: I'm graduating! I'll be continuing my mathematical career at UCLA, as a postdoc.

I am a number theorist, which means I investigate problems related to the whole numbers and rationals. In particular, I have a great deal of interest in the theory of automorphic forms and Galois representations.

Here are my CV and research statement.

Automorphic Forms with Local Constraints, my dissertation. Renders obsolete the three following items. Some results on the existence of automorphic forms whose local components have certain prescribed properties. I also describe what I believe is the stable reduction of the modular curve X(Np^2).

Galois Representations with Prescribed Ramification, a talk given at the Number Theory Seminar in Berkeley in September 2006. These notes are an outline of what will evolve into most of my dissertation.

The Action of SL_2 on Cusp Forms. The group SL_2(Z/NZ) acts on the space of cusp forms S_k(Gamma(N)); we compute the action for even k. This is a prototype of the sort of result I need for my thesis. (Warning: very rough notes.)

Galois Representations with Prescribed Ramification, slides from a talk I gave at the Red Lodge Conference on Profinite Geometry in April 2006. This is a little outdated by now.

From Modular form to Galois Representation, a talk I gave outlining Deligne's solution of the Ramanujan Conjectures, part of the Serre's Conjecture Seminar in Berkeley, Fall 2005.

The Solvable Case Of Artin's Conjecture, another talk from the Serre's Conjecture Seminar.

691, Most Irregular Prime, a talk I gave at Many Cheerful Facts in Sept. 2005.

zeta(3) Apparently Irrational, a talk I gave at Many Cheerful Facts in 2003.

A write up of my qualifying exam questions, with solutions.

On the quadratic Form px^2-qy^2=1, an article I wrote in 2001.

On the L-functions of Abelian Varieties, my undergraduate thesis (42 pages).