Fedor Bogomolov

Fedor Bogomolov is the Silver Professor of Mathematics at New York University, Department of Mathematics. His research focuses on algebraic geometry and related problems in algebra, topology, number theory. He has worked on the structure of Galois groups of functional fields, birational properties of algebraic varieties, and the theory of symmetric differentials on surfaces. His publications include works on holomorphic tensors and vector bundles, commuting elements in Galois groups of function fields, and symplectic Lefschetz fibrations with arbitrary fundamental groups.

Fedor Bogomolov is a mathematician specializing in algebraic geometry. His research focuses on the structure and properties of algebraic varieties, with particular emphasis on Kähler manifolds, vector bundles, and rational points. He has contributed to the study of surfaces of general type, elliptic K3 surfaces, and foliated varieties. His work explores the interplay between algebraic and differential geometry, including topics such as the Brauer group, symplectic Lefschetz fibrations, and the classification of surfaces of class VII 0. Bogomolov's research also addresses the rationality of quotient varieties and the density of rational points on algebraic varieties, reflecting his deep engagement with foundational problems in algebraic geometry.