Number Theory and Automorphic Forms
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More about number theory and automorphic forms
Research topics include
- Analytic number theory
- Both number-field and function-field cases
- Arithmetic algebraic geometry, especially of Shimura varieties and moduli spaces
- Automorphic forms in many different guises
- Combinatorial representation theory
- Analytical representation theory
- Harmonic analysis applied to number theory
- Random matrix theory
- Applications of mathematical physics ideas to number theory
Seminars
- A student seminar
- The Geometric Langlands seminar
- A Lie theory seminar
- A number theory and automorphic forms seminar
Faculty


Benjamin Brubaker
Professor
brubaker@umn.edu
automorphic forms, p-adic representations, combinatorial representation theory, statistical lattice models


Paul Garrett
Professor
garrett@umn.edu
automorphic forms, L-functions, representations, harmonic analysis, number theory


Dihua Jiang
Professor
dhjiang@umn.edu
automorphic forms, L-functions, number theory, harmonic analysis, representation theory

Kai-Wen Lan
Professor
kwlan@umn.edu
number theory, automorphic forms, Shimura varieties and related topics in arithmetric geometry

William Messing
Professor Emeritus
messing@math.umn.edu
p-adic Galois representations associated with algebraic varieties via étale cohomology, the connections between the latter and de Rham cohomology

Andrew Odlyzko
Professor
odlyzko@umn.edu
computational complexity, cryptography, number theory, combinatorics, coding theory, analysis, probability theory, ecommerce, and economics of data networks
