Regular biography
Vlassis Mastrantonis is the H.C. Wang Assistant Professor in the Department of Mathematics at Cornell University. His research lies in convex geometry and geometric analysis, with connections to several complex variables. He studies extremal problems involving volume and duality of convex bodies and functions, combining techniques from convex and functional analysis, geometric flows, and several complex variables to establish geometric and functional inequalities. His work is motivated by long-standing conjectures, such as those of Mahler and Bourgain’s, which reveal surprising connections such as Bergman kernels to polarity, or Ricci curvature bounds to the volume of hyperplane sections. His research focuses on convex geometry, geometric analysis, and several complex variables.