Eric Katz
American mathematician
From Wikipedia, the free encyclopedia
Eric Katz is a mathematician working in combinatorial algebraic geometry and arithmetic geometry. He is currently an associate professor in the Department of Mathematics at Ohio State University.
Eric Katz | |
|---|---|
| Born | |
| Alma mater | |
| Known for | Heron–Rota–Welsh conjecture |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Ohio State University University of Waterloo |
| Thesis | A Formalism for Relative Gromov-Witten Invariants[1] (2004) |
| Doctoral advisors | Yakov Eliashberg Ravi Vakil |
| Website | people |
In joint work with Karim Adiprasito and June Huh, he resolved the Heron–Rota–Welsh conjecture on the log-concavity of the characteristic polynomial of matroids.[2][3][4][5] With Joseph Rabinoff and David Zureick-Brown, he has given bounds on rational and torsion points on curves.[6]
Education
Katz went to Beachwood High School, in Beachwood, Ohio, a suburb of Cleveland. After earning a Bachelor of Science in Mathematics from Ohio State University in 1999, he pursued graduate studies at Stanford University, obtaining his Doctor of Philosophy in 2004 with a thesis written under the direction of Yakov Eliashberg and Ravi Vakil.[7]