NSF CAREER Award, 2018
Eric Katz, assistant professor of mathematics, has received a five-year National Science Foundation Faculty Early Career Development (CAREER) Award for his research in combinatorics and Diophantine geometry.
To resolve long-standing problems in these areas, Katz will use tropical geometry, which transforms questions in algebraic geometry into questions in combinatorics, or the mathematics of discrete structures. Specifically in Diophantine geometry — the study of rational solutions to polynomial systems — Katz will study bounds on the number of rational and torsion points on curves. He will also deepen the commutative algebraic underpinnings of his recent work on matroids.
Outreach and engagement efforts will include the broadening of the Department of Mathematics' honors program; community outreach presentations; mentorship of students from underrepresented groups; and graduate advising.
The NSF CAREER Program offers the Foundation's most prestigious awards in support of early-career faculty who have the potential to serve as academic role models in research and education and to lead advances in the mission of their department or organization.