The Home Page of Martin H. Weissman
Martin H. Weissman - Associate Professor of Mathematics - University of California - Santa Cruz
Address: Martin H. Weissman - Department of Mathematics - University of California - Santa Cruz, CA 95064
Office: 4182 McHenry - Phone (unlikely): (831)459-2379 - E-mail: weissman AT ucsc DOT edu
Curriculum Vitae
Here is my Curriculum Vitae.Writings
Book
I am currently writing an Illustrated Theory of Numbers . Read my blog for more!Refereed Papers
- The Fourier Jacobi Map and Small Representations, Represent. Theory 7 (2003), 275-299.
This paper can be found in two versions. The first is my Ph.D. thesis . The second is the published version . - D4 Modular Forms, American J. of Math. 128 (August 2006) No. 4, 849-898.
This paper can be found in two versions. The first is a preprint . The second is the published version . - Multiplying Modular Forms, In Modular Forms on Schiermonnikoog, published by Cambridge University Press.
This paper can be found on the ArXiv, here is the preprint. - Metaplectic tori over local fields, Pacific J. of Math., 2009.
This paper can be found on the ArXiv here. - Depth zero representations of nonlinear covers of p-adic groups, International Mathematics Research Notices, 2009.
This paper can be found on the ArXiv here. - Dichotomy for generic supercuspidal representations of G2, Compositio Mathematica, 2011.
This paper can be found on the ArXiv here. - Managing Metaplectiphobia: Covering p-adic groups, in "Harmonic analysis on reductive, p-adic groups", Contemporary Mathematics 543, 2011.
This paper can be found on the ArXiv here. There are (at least) two minor errors in the published version, corrected on the ArXiv. See my errata page. - Split metaplectic groups and their L-groups, to appear in Crelle's Journal.
This paper can be found on the ArXiv here.
Nonrefereed publications
- Icosahedral Galois Representations and Modular Forms.
This was my undergraduate senior thesis . - A Maassive computation
After a discussion with D. Zagier about periods of Maass forms, I was led to consider the "simplest" Maass eigenform attached to a tetrahedral Galois representation. I computed the first 2000-ish coefficients of this Maass form using SAGE. My computations are very very far from efficient, but others have asked for the code. The methods are essentially those of J. Buhler from "Icosahedral Galois Representations" (Springer LNM 654), and the code is not well-documented. With these caveats, here is the SAGE worksheet and a PDF printout thereof .
Teaching
I am currently running a seminar on representations of p-adic groups. For more information, go here .My courses are typically hosted on eCommons, the UC Santa Cruz learning environment. Contact me directly if you require access.
Lectures
The following are (sometimes large PDF) files from some math lectures I have given.- A lecture on octonions and G2. Intended audience: advanced undergraduates and anyone who wants to understand G2 from the algebraic perspective.
- A lecture on octonions, cubes, and embeddings. Intended audience: developers of SAGE, especially working on algebras and quadratic forms. Also, the slides for this lecture. A lecture on volumes of spheres. Intended audience: undergraduates with a knowledge of multivariable calculus and interest in pure mathematics.
- A lecture on multiplying modular forms. Intended audience: those familiar with the representation theory of real reductive groups.
- A lecture on modular forms, and arithmetic embedding theorems. Intended audience: mathematicians from all fields.