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Number Theory


  • Wei Ho: Number theory and representation theory
  • Jeff Lagarias: Algebraic and analytic number theory, Diophantine approximation
  • 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,  Mircea Mustaţă, Aaron Pixton, and Karen Smith (algebraic geometry);  Stephen DeBacker and Tasho Kaletha (representation theory); David Speyer (algebraic combinatorics)


 Jessica Fintzen,  Serin Hong,  Karol KoziolYuan Liu, and Michal Zydor.

Graduate Students (advisor):

GilYoung Cheong (Zieve),  Angus Chung (Prasanna), Alexander Horawa (Prasanna), Yifeng Huang (Zieve), Patrick Kelley (Prasanna), Andrew O'Desky(Zieve), Kannapan Sampath (Prasanna)

Former Faculty:

Hugh Montgomery (1972-2020),   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.


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 courses have covered: 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. 



Recent 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


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