Research Interests
My field of interest is Number Theory, in particular Algebraic Number Theory
with a focus on explicit and computational methods. Research topics include
the following:
- Elliptic curves, in particular over finite fields,
- Explicit formulas for zeta functions of modules over integral group
rings, and applications in Number Theory,
- Distribution of p-class groups of cyclic number fields of odd
prime degree p.
Currently I am working on
l-class groups of cyclic extensions of
degree
l of the rational function field
Fq(
T), where
l is a prime number not
dividing
q. The goal is to understand the Galois module structure of
these
l-class groups, and to obtain density results (this will
include heuristic methods, too).
Here
are some tables containing
- Explicit formulas for zeta functions,
- 3-class groups of cyclic cubic number field extensions with prescribed
ramification.
