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
editKatz 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]
References
edit- ^ Eric Katz (2005-07-15). "Formalism for Relative Gromov-Witten Invariants". Retrieved May 24, 2019.
- ^ "Combinatorics and more". 14 August 2015.
- ^ "A Path Less Taken to the Peak of the Math World". Quanta Magazine. Retrieved 2017-07-01.
- ^ "Hodge theory of matroids" (PDF), Notices of the AMS, retrieved 2017-07-03
- ^ Baker, Matt. "Hodge Theory and Combinatorics" (PDF). 2017 AMS Current Events Bulletin. Retrieved 2017-07-04.
- ^ Katz, Eric; Rabinoff, Joseph; Zureick-Brown, David (2016), Diophantine and tropical geometry, and uniformity of rational points on curves, arXiv:1606.09618, Bibcode:2016arXiv160609618K
- ^ Eric Katz at the Mathematics Genealogy Project