Eric Katz is a mathematician working in combinatorial

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

and arithmetic geometry. He is currently an

associate professor Associate professor is an academic title with two principal meanings: in the North American system and that of the ''Commonwealth system''. Overview In the ''North American system'', used in the United States and many other countries, it is a ...

in the Department of Mathematics at Ohio State University. In joint work with

Karim Adiprasito Karim Alexander Adiprasito (born 1988) is a German mathematician working at the University of Copenhagen and the Hebrew University of Jerusalem who works in combinatorics. He completed his Ph.D. in 2013 at Free University Berlin under the supervi ...

and June Huh, he resolved the Heron–Rota–Welsh conjecture on the log-concavity of the

characteristic polynomial of matroids In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces. There are many equivalent ways to define a matroid axiomatically, the most significant being in ...

. With Joseph Rabinoff and David Zureick-Brown, he has given bounds on rational and torsion points on curves.

Education

Katz went to Beachwood High School, in Beachwood, Ohio, a suburb of Cleveland. After earning a B.S. in Mathematics from Ohio State University in 1999, he pursued graduate studies at

Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

, obtaining his Ph.D. in 2004 with a thesis written under the direction of

Yakov Eliashberg Yakov Matveevich Eliashberg (also Yasha Eliashberg; russian: link=no, Яков Матвеевич Элиашберг; born 11 December 1946) is an American mathematician who was born in Leningrad, USSR. Education and career Eliashberg receiv ...

and Ravi Vakil.

References

{{DEFAULTSORT:Katz, Eric Year of birth missing (living people) 1970s births Living people Ohio State University faculty University of Waterloo faculty Stanford University alumni People from Cleveland Mathematicians from Ohio Algebraic geometers Combinatorialists 20th-century American mathematicians 21st-century American mathematicians Ohio State University College of Arts and Sciences alumni