Department/College/UnitPhysical & Biological Sciences Division

TitleProfessor

AffiliationFaculty

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Primary Office LocationMcHenry Library
McHenry Building Room #4182

Mail StopMathematics Department

Biography, Education and Training

A.B. Princeton University, 1999

Ph.D Harvard University, 2003.

Postdoctoral Fellow, UC Berkeley, 2003-2006

Summary of Expertise

Martin Weissman‘s research involves the interaction between representation theory, geometry, and number theory. Specifically, he works on automorphic forms and representations— the network of theorems and conjectures known as the Langlands program. Within the Langlands program, he is interested in exceptional and metaplectic groups, and broad questions in the representations of p‑adic groups. He has also studied connections between arithmetic and Coxeter groups, and the visualization of algebra and number theory.

Research Interests

Marty Weissman's research involves the interaction between representation theory, geometry, and number theory. Specifically, he works on automorphic forms and representations, and what is generally known as the Langlands program. Within the Langlands program, he is interested in modular forms on exceptional and metaplectic groups, representations of p-adic groups, and L-functions.

Teaching Interests

I enjoy teaching a broad swath of courses, including number theory, abstract algebra, proof-writing, "big science", quantitative literacy, and the history of mathematics.

Selected Publications

• M. Weissman: L-groups and parameters for covering groups, Asterisque (2018)
• M. Weissman: An Illustrated Theory of Numbers, AMS (2017)
• G. Savin and M. Weissman: Dichotomy for generic supercuspidal representations of G2, Compositio Math. 147 (2011).
• M. Weissman: D4 Modular Forms, Amer. J. of Math 128 (2006), 849-898.
• M. Weissman: The Fourier Jacobi Map and Small Representations, Represent. Theory 7 (2003), 275-299.