Biography:Eric Katz
Eric Katz | |
|---|---|
| Born | Cleveland, Ohio |
| Alma mater |
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| Known for | Heron–Rota–Welsh conjecture |
| Scientific career | |
| Fields | Mathematics |
| Institutions | The 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 associate professor in the Department of Mathematics at The 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.[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 B.S. in Mathematics from The 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.[7]
References
- ↑ Eric Katz (2005-07-15). "Formalism for Relative Gromov-Witten Invariants". https://archive.org/details/arxiv-math0507321/page/n6.
- ↑ "Combinatorics and more". 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
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