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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