College of Liberal Arts

University of Mississippi

2015 Faculty Grants—Mathematics

Buskes, G. & Cole, D., primary investigators

Graduate Assistance in Areas of National Need – Mathematics

Sponsor: U.S. Department of Education
Award Amount: $140,877.00

This program provides fellowships for graduate students to pursue the highest degree available in a field designated as an area of national need. Grants are awarded to programs and institutions to sustain and enhance the capacity for teaching and research in areas of national need.

Milinovich, M., primary investigator

NSA Young Investigator Grant 2013

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

The study of zeta and L-functions is a central topic in modern number theory, and they encode a great deal of arithmetic information. For instance, it has long been known that the analytic properties of the Riemann zeta-function and Dirichlet L-functions are intimately connected to the distribution of the prime numbers. Properties of higher degree L-functions, such as those associated to elliptic curves and modular forms, are useful in studying many Diophantine problems ( finding integer solutions to polynomial equations). Apart from number theory, there are also connections between L-functions and many other areas of mathematics including algebra, analysis, algebraic geometry, mathematical physics, random matrix theory, and cryptography.