Eric Katz

Eric Katz is an Associate Professor in the Department of Mathematics at The Ohio State University. His research focuses on Combinatorial Algebraic Geometry, Arithmetic Geometry, and Tropical Geometry. He previously held positions at the University of Waterloo and Duke University, and completed his PhD at Stanford University. His work bridges algebraic geometry with combinatorial structures, contributing to foundational results like the proof of the Heron-Rota-Welsh conjecture on matroid log-concavity. His research also intersects Diophantine geometry and matroid theory.

Education:

• BS in Mathematics, The Ohio State University, 1999
• PhD in Mathematics, Stanford University, 2004

Research Interests: Katz explores tropical geometry's applications to algebraic and arithmetic problems, including Hodge theory for matroids and uniformity of rational points on curves. His work often involves combinatorial methods to study geometric invariants and Diophantine equations.

Grants and Funding: Received NSF CAREER Award for Tropical and Diophantine Geometry (2018). Active in collaborative projects on matroid theory and tropical algebraic geometry.