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Number Theory

Faculty

  • Wei Ho: Number theory and representation theory
  • Jeff Lagarias: Algebraic and analytic number theory, Diophantine approximation
  • Hugh Montgomery: Analytic number theory, distribution of prime numbers, Fourier analysis, analytic inequalities, probability
  • Kartik Prasanna: Arithmetic of automorphic forms and periods, special values of L-functions, Iwasawa theory
  • Andrew Snowden: Arithmetic geometry and algebraic number theory
  • Michael Zieve: Algebraic number theory and arithmetic geometry, especially Galois theory, Diophantine equations, and arithmetic dynamics
Faculty in related areas:

Bhargav Bhatt,  William FultonMircea Mustaţă, and Karen Smith (algebraic geometry);  Stephen DeBacker and Tasho Kaletha (representation theory);  Harm Derksen and Gopal Prasad (algebraic groups); David Speyer (algebraic combinatorics)

Postdocs:

Efrat Bank, Shuyang Cheng, Jessica Fintzen, Evangelia Gazaki, Lalit Jain, Dohyeong Kim, Jennifer Park, Brad Rodgers, and Myungjun Yu

Graduate Students (advisor):

Daniel Barter (Snowden), Brandon Carter (Prasanna), Charlotte Chan (Prasanna), GilYoung Cheong (Zieve), Corey Everlove (Lagarias), Trevor Hyde (Zieve), Gene Kopp (Lagarias), Bob Lutz (Lagarias), Andrew O'Desky (Zieve), and Philip Tosteson (Snowden)

Former Faculty:

Brian Conrad (2000-2008),  Chris Skinner (2000-2007),  Kannan Soundararajan (2000-2007),  Trevor Wooley (1991-2007),  David Masser (1983-1992),  James Milne (1969-1999),  Donald J. Lewis (1957-1996),  William J. LeVeque (1949-1971).

Electronic Resources

Go here for links to e-journals and other electronic resources for number theorists. These links should work both from on-campus and off-campus.

Courses

The following full-year graduate courses are offered in alternating years: 

  • analytic number theory (Math 675/775)   and 
  • algebraic number theory and class field theory (Math 676/776)

We also offer a range of courses on advanced topics in number theory. Previous year's topics include: elliptic curves, complex multiplication, Diophantine problems, Diophantine approximationarithmetic of dynamical systemsIwasawa theory, Hida theory, transcendence theory, spectral theory of modular forms, Galois representations and modular forms, and automorphic forms on algebraic groups. 

Seminars

We also run seminars on special topics, most recently covering the Weil conjectures, K-theory, Gross Zagier, and Galois theory.

Past Conferences Hosted

2015 RTG Workshop on Arithmetic Dynamics
2011 FRG/RTG Workshop on L-functions, Galois Representations and Iwasawa theory
2010 Midwest Number Theory Day
2010 Midwest Number Theory Conference for Graduate Students

 

Previous graduates

Recent postdocs

 

This page maintained by Michael Zieve. Please send comments or questions to numbertheory@umich.edu