Eric Katz

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Eric Katz
Alma mater
Known forHeron–Rota–Welsh conjecture
Scientific career
InstitutionsOhio State University
University of Waterloo
ThesisA Formalism for Relative Gromov-Witten Invariants (2004)
Doctoral advisorsYakov Eliashberg
Ravi Vakil

Eric Katz is a mathematician working in combinatorial algebraic geometry and arithmetic geometry. He is currently an assistant professor in the Department of Mathematics at Ohio State University.[1]

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]


Katz went to Beachwood High School. He obtained his Ph.D. from Stanford University in 2004 with a thesis written under the direction of Yakov Eliashberg and Ravi Vakil.[7]


  1. ^ "Eric Katz". Retrieved 2017-07-03.
  2. ^ "Combinatorics and more".
  3. ^ "A Path Less Taken to the Peak of the Math World | Quanta Magazine". Quanta Magazine. Retrieved 2017-07-01.
  4. ^ "Hodge theory of matroids" (PDF), Notices of the AMS, retrieved 2017-07-03
  5. ^ Baker, Matt. "Hodge Theory and Combinatorics" (PDF). 2017 AMS Current Events Bulletin. Retrieved 2017-07-04.
  6. ^ Diophantine and tropical geometry, and uniformity of rational points on curves, arXiv:1606.09618, Bibcode:2016arXiv160609618K
  7. ^ Eric Katz at the Mathematics Genealogy Project