The Home Page of Martin H. Weissman
Martin H. Weissman - Assistant Professor of Mathematics - University of California - Santa Cruz
Address: Martin H. Weissman - Department of Mathematics - University of California - Santa Cruz, CA 95064
Office: 361 B J. Baskin Engineering - Phone (unlikely): (831)459-2379 - E-mail: weissman AT ucsc DOT edu
Curriculum Vitae
Here is my Curriculum Vitae.For a fancier (though very out of date) experiment, here is my Curriculum Vitae exhibit, using the MIT SIMILE project's exhibit package.
Papers
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, to appear, Compositio Mathematica.
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, , submitted.
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
- Math 111B: Undergraduate Abstract Algebra, Spring 2007, UCSC. Here is the webgroup.
- Math 202: Graduate Algebra III, Spring 2007, UCSC. Here is the webgroup.
- Math 100: Proofs and Problem Solving, Fall 2007, UCSC. Here is the webgroup.
- Math 296: Graduate Mathematics Foundations, Fall 2007. Here is the webgroup.
- Math 222A: Graduate Number Theory, Spring 2009, UCSC. Here is th course homepage.
- I have designed and I administer the SlugMath Wiki, a resource for advanced undergraduate mathematics.
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.