Biography:Eric Katz
Eric Katz | |
|---|---|
| Born | Cleveland, Ohio |
| 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 |
Eric Katz is a mathematician working in combinatorial algebraic geometry and arithmetic geometry. He is currently an professor[2] in the Department of Mathematics at Ohio State University.
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.[3][4][5][6] With Joseph Rabinoff and David Zureick-Brown, he has given bounds on rational and torsion points on curves.[7]
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.[8]
References
- ↑ Eric Katz (2005-07-15). "Formalism for Relative Gromov-Witten Invariants". https://archive.org/details/arxiv-math0507321/page/n6.
- ↑ "Eric Katz". https://people.math.osu.edu/katz.60/.
- ↑ "Combinatorics and more". 14 August 2015. https://gilkalai.wordpress.com/2015/08/14/updates-and-plans-iii/.
- ↑ "A Path Less Taken to the Peak of the Math World". Quanta Magazine. https://www.quantamagazine.org/a-path-less-taken-to-the-peak-of-the-math-world-20170627/.
- ↑ "Hodge theory of matroids", Notices of the AMS, https://www.ams.org/journals/notices/201701/rnoti-p26.pdf, retrieved 2017-07-03
- ↑ Baker, Matt. "Hodge Theory and Combinatorics". 2017 AMS Current Events Bulletin. https://www.ams.org/meetings/lectures/2017-CEB-Booklet-Final.pdf.
- ↑ Katz, Eric; Rabinoff, Joseph; Zureick-Brown, David (2016), Diophantine and tropical geometry, and uniformity of rational points on curves, Bibcode: 2016arXiv160609618K
- ↑ Eric Katz at the Mathematics Genealogy Project
 |  |
