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 (2004)
Doctoral advisors Yakov Eliashberg
Ravi Vakil
Website people.math.osu.edu/katz.60/

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]

Education

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]

References

  1. ↑ "Eric Katz". people.math.osu.edu/katz.60/. 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
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.