University of Illinois at Urbana-ChampaignDepartment of Mathematics
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  Number Theory: Faculty

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The University of Illinois at Urbana-Champaign has many faculty members working in Number Theory and related areas. Below is a list of the Number Theory faculty, with a short description of their research. To see a more detailed list of Faculty Research Interests and Activities, click on an individual faculty member's name.

Scott Ahlgren [Homepage]
Modular forms and connections to number theory, partitions, character sums, Diophantine equations

Paul T. Bateman (Emeritus)
Sums of squares, prime number theory

Bruce Berndt [Homepage]
Ramanujan's notebooks, elliptic functions, theta-functions, q-series, continued fractions, character sums, classical analysis

Florin Boca [Homepage]
Diophantine approximation, spacing statistics

Harold G. Diamond (Emeritus) [Homepage]
Prime number theory, sieves, connections with analysis

Iwan Duursma [Homepage]
Cryptography, algebraic coding theory, algebraic curves

Kevin Ford [Homepage]
Arithmetic functions, Waring's problem and variants, Weyl sums, comparative prime number theory, sieve theory, Riemann zeta function

Heini Halberstam (Emeritus)
Sieves, arithmetic functions

A. J. Hildebrand [Homepage]
Analytic and probabilistic number theory, asymptotic analysis

Rinat Kedem [Homepage]
Mathematical physics, representation theory of infinite dimensional Lie algebras, quantum groups, and vertex algebras, integrable models statistical mechanics and quantum field theory

Leon McCulloh (Emeritus)
Algebraic number theory, relative Galois module structure of rings of integers, class groups of integral group rings, Stickelberger relations

Bruce Reznick [Homepage]
Sums of squares of polynomials, combinatorial number theory

Jeremy Rouse (J.L. Doob Postdoc) [Homepage]
Elliptic curves, modular forms, and analytic number theory

Andrew Schultz (J.L. Doob Postdoc) [Homepage]
Galois theory (cohomology, groups, of rings and schemes) and algebraic geometry

Ken Stolarsky [Homepage]
Diophantine approximation, special functions, geometry of zeros of polynomials

Stephen Ullom (Emeritus) [Homepage]
Galois modules, class groups

Alexandru Zaharescu [Homepage]
Analytic and algebraic number theory

 


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