News and Events
The UNCG Summer School in Computational Number Theory 2013 Computational Algebraic Number Theory (May 20-24, 2013) is now accepting applications. Funding is available for approximately 10 graduate students. See link for details and application information.Faculty
Sebastian Pauli
My research is in computational number theory. I am particularly
interested in algorithms for local fields and computational class
field theory. Recently I also investigated the distributions of the
zeros of the derivatives of the Riemann Zeta function.
Filip Saidak
I am interested in classical questions concerning prime numbers and their distribution, which I try to investigate using mainly
analytic and probabilistic methods. A special topic of my interest is the location of zeros of the Riemann zeta function and its
derivatives; Others include problems centering around the differences between consecutive prime numbers, distribution and
divisibility properties of primes of special forms, as well as values of various arithmetical functions. History and philosophy of
mathematics (and science in general) are also areas I like to think about and conduct research in.
Brett Tangedal
I am interested in algebraic number theory with a particular emphasis
on explicit class field theory.
This involves the constructive generation of relative abelian
extensions of a given number field using
the special values of certain transcendental complex and $p$-adic valued
functions. Almost all of my
research to date is concerned with a system of conjectures, due to
Stark and others, that make
class field theory explicit in a precise manner as described above.
Dan Yasaki
I study arithmetic
quotients of symmetric spaces. These locally symmetric spaces stand at
the intersection of various topics in number theory, geometry, and
topology. In particular they are closely related to the theory of
automorphic forms. I use explicit reduction theory coming from
quadratic forms over number fields in order to construct polyhedral
tessellations that can be used to compute cohomological modular forms.
Graduate Students
Past Graduate Students
- Nancy Buck
