Gil Kalai (born 1955) is the Henry and Manya Noskwith Professor of Mathematics at the Hebrew University of Jerusalem, and adjunct professor of mathematics and of computer science at Yale University, and the editor of the Israel Journal of Mathematics.
Gil Kalai received his Ph.D. from Hebrew University in 1983, under the supervision of Micha Perles, and joined the Hebrew University faculty in 1985 after a postdoctoral fellowship at the Massachusetts Institute of Technology. He was the recipient of the Pólya Prize in 1992, the Erdős Prize of the Israel Mathematical Society in 1993, and the Fulkerson Prize in 1994. He is known for finding variants of the simplex algorithm in linear programming that can be proven to run in subexponential time, for showing that every monotone property of graphs has a sharp phase transition, for solving Borsuk's problem (known as Borsuk's conjecture) on the number of pieces needed to partition convex sets into subsets of smaller diameter, and for his work on the Hirsch conjecture on the diameter of convex polytopes and in polyhedral combinatorics more generally.
He was the winner of the 2012 Rothschild Prize in mathematics.
- Profile at Yale CS department.
- Profile at the Technical University of Eindhoven as an instructor of a minicourse on polyhedral combinatorics.
- Gil Kalai at the Mathematics Genealogy Project.
- Kalai, Gil (1992), "A subexponential randomized simplex algorithm", Proc. 24th ACM Symp. Theory of Computing (STOC 1992), pp. 475–482.
- Friedgut, Ehud; Kalai, Gil (1996), "Every monotone graph property has a sharp threshold", Proceedings of the American Mathematical Society 124: 2993–3002, doi:10.1090/S0002-9939-96-03732-X.
- Kahn, Jeff; Kalai, Gil (1993), "A counterexample to Borsuk's conjecture", Bulletin of the American Mathematical Society 29: 60–62, arXiv:math.MG/9307229, doi:10.1090/S0273-0979-1993-00398-7.
- Kalai, Gil; Kleitman, Daniel J. (1992), "A quasi-polynomial bound for the diameter of graphs of polyhedra", Bulletin of the American Mathematical Society 26: 315–316, doi:10.1090/S0273-0979-1992-00285-9.
- Yad Hanadiv, Rothschild Prize.