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math.FA2026
Presenting a proof of the Kannan-Lovasz-Simonovits conjecture
Pierre Bizeul, Boaz Klartag, Joseph Lehec
Together with Bourgain's slicing problem and the variance conjecture, the Kannan-Lovász-Simonovits (KLS) conjecture has been a driving force for mathematical developments in high d…
math.FA2026
A polynomial bound in Dvoretzky's theorem
Boaz Klartag, Shahar Moshe
We present a simple proof of the -Dvoretzky conjecture, which asserts that the dependence on the approximation parameter in Dvoretzky's theorem is polyno…
math.FA2024★ 1 cited
Isoperimetric inequalities in high-dimensional convex sets
Bo'az Klartag, Joseph Lehec
These are lecture notes focusing on recent progress towards Bourgain's slicing problem and the isoperimetric conjecture proposed by Kannan, Lovasz and Simonovits (KLS).