College of Liberal Arts

University of Mississippi

2013 Faculty Grants—Mathematics

Buskes, G., primary investigator

Graduate Assistance in Areas of National Need – Mathematics

Sponsor: U.S. Department of Education
Award Amount: $133,266.00

GAANN (Graduate Assistance in the Area of National Need). This grant funds students working toward the doctorate degree in the mathematical sciences. Particular emphasis is given to those underrepresented in the discipline. In addition to tuition and a healthy stipend, mentoring, advising, travel opportunities are also provided.

Graduate Assistance in Areas of National Need – Mathematics

Sponsor: U.S. Department of Education
Award Amount: $134,172.00

Jones, N., primary investigator

Images of Adelic Galois Representations

Sponsor: National Security Agency
Award Amount: $19,999.00

Milinovich, M., primary investigator

Zeros of Zeta and L-functions

Sponsor: National Security Agency
Award Amount: $19,989.00

The study of zeta and L-functions is a central topic in modern number theory, and they encode a great deal of arithmetic information. Apart from number theory, there are also connections between L-functions and many other areas of mathematics including algebraic geometry, mathematical physics, random matrix theory, and cryptography. Extending my previous research, this grant proposal explores connections between mean-values, or averages, of zeta and L-functions to the distributions of their zeros and non-zero values. In addition, I explore some newer techniques which incorporate, among other things, recent solutions to some extremal problems in Fourier analysis.

Zeros of Zeta and L-functions

Sponsor: National Security Agency
Award Amount: $19,989.00

Spiroff, S., primary investigator

A New Higher Codimension Analogue of Hochster’s Theta Invariant [Or, Simons Foundation Research Collaboration Grant]

Sponsor: Simons Foundation
Award Amount: $35,000.00

The purpose of this funding is to promote research in the area of Commutative Algebra through the collaboration with international and national scholars. The grant increases the mathematical dialogue with researchers around the world by supporting travel to and from the Department of Mathematics at the University of Mississippi.