# Number Theory and Automorphic Forms

###
+
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