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Eric Katz

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Eric Katz (born c. 1977) 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 June Huh and Karim Adiprasito, 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]

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