Number Theory at the Mathematics Dept. of the University of Texas
Permanent faculty in Number Theory, and their fields of interest.
- Mirela Çiperiani
(mirela@math.utexas.edu):
Elliptic curves, genus one curves, Iwasawa theory.
- David Helm
(dhelm@math.utexas.edu):
The arithmetic of Shimura varieties and its application to automorphic
forms, Galois representations, and the Langlands program.
- Amir Mohammadi
(amir@math.utexas.edu):
Lie groups and ergodic theory.
-
Jeffrey Vaaler
(vaaler@math.utexas.edu):
Analytic number theory, Diophantine approximation and the geometry
of numbers in local and global fields, Diophantine inequalities,
polynomials, effective measures of irrationality and transcendence,
applications of Fourier analysis in number theory, inequalities
and extremal problems.
- Fernando
Rodríguez
Villegas
(villegas@math.utexas.edu):
Special values of L-functions (Birch-Swinnerton-Dyer and Bloch-Beilinson
conjectures), arithmetic of elliptic curves, modular forms, Mahler measure
of polynomials.
- Felipe Voloch
(
):
Arithmetic of function fields. Diophantine geometry over function fields.
Geometry of algebraic curves. Algebraic varieties over finite fields.
Modular forms, elliptic curves and abelian varieties. Finite fields and
applications to coding theory and cryptography.
Temporary faculty in Number Theory.
Graduate Students in Number Theory.
Other links
This WWW site is maintained by
Felipe Voloch.