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

Greg Anderson

Greg Anderson

Professor

gwanders@umn.edu
algebraic number theory and random matrix theory

Ben Brubaker

Benjamin Brubaker

Professor

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

Adrian Diaconu

Adrian Diaconu

Associate Professor

cad@umn.edu
number theory, automorphic forms

Paul Garrett

Paul Garrett

Professor

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

Dennis Hejhal

Dennis Hejhal

Professor

hejhal@umn.edu
analysis, analytic number theory

Dihua Jiang

Dihua Jiang

Professor

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

Kai-Wen Lan headshot

Kai-Wen Lan

Professor

kwlan@umn.edu
number theory, automorphic forms, Shimura varieties and related topics in arithmetric geometry

William Messing

William Messing

Professor Emeritus

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

Andrew Odlyzko

Andrew Odlyzko

Professor

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

Steven Sperber

Steven Sperber

Professor

sperber@umn.edu
arithmetic algebraic geometry, number theory, arithmetic