Eric Katz

Eric Katz
Born
Cleveland, Ohio
Alma mater
Known forHeron–Rota–Welsh conjecture
Scientific career
FieldsMathematics
WorkplacesOhio State University
University of Waterloo
Thesis A Formalism for Relative Gromov-Witten Invariants[1]  (2004)
Yakov Eliashberg
Ravi Vakil
Websitepeople.math.osu.edu/katz.60/

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

  1. ↑ Eric Katz (2005-07-15). "Formalism for Relative Gromov-Witten Invariants". Retrieved May 24, 2019.
  2. ↑ "Eric Katz". people.math.osu.edu. Retrieved 2026-08-05.
  3. ↑ "Combinatorics and more". 14 August 2015.
  4. ↑ "A Path Less Taken to the Peak of the Math World". Quanta Magazine. Retrieved 2017-07-01.
  5. ↑ "Hodge theory of matroids" (PDF), Notices of the AMS, retrieved 2017-07-03
  6. ↑ Baker, Matt. "Hodge Theory and Combinatorics" (PDF). 2017 AMS Current Events Bulletin. Retrieved 2017-07-04.
  7. ↑ Katz, Eric; Rabinoff, Joseph; Zureick-Brown, David (2016), Diophantine and tropical geometry, and uniformity of rational points on curves, arXiv:1606.09618, Bibcode:2016arXiv160609618K
  8. ↑ Eric Katz at the Mathematics Genealogy Project
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