|Known for||Heron–Rota–Welsh conjecture|
|Institutions||Ohio State University |
University of Waterloo
|Thesis||A Formalism for Relative Gromov-Witten Invariants (2004)|
|Doctoral advisors||Yakov Eliashberg |
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. With Joseph Rabinoff and David Zureick-Brown, he has given bounds on rational and torsion points on curves.
Katz went to Beachwood High School, in Beachwood, Ohio, a suburb of Cleveland. After earning a B.S. in Mathematics from Ohio State University in 1999, he pursued graduate studies at Stanford University, obtaining his Ph.D. in 2004 with a thesis written under the direction of Yakov Eliashberg and Ravi Vakil.
- Eric Katz (2005-07-15). "Formalism for Relative Gromov-Witten Invariants". archive.org. Retrieved May 24, 2019.
- "Combinatorics and more".
- "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.
- Diophantine and tropical geometry, and uniformity of rational points on curves, arXiv:1606.09618, Bibcode:2016arXiv160609618K
- Eric Katz at the Mathematics Genealogy Project