Regular biography
Zsolt Patakfalvi is an Associate Professor in the Department of Mathematics at École Polytechnique Fédérale de Lausanne. His research focuses on algebraic geometry, with particular emphasis on topics such as moduli spaces, positivity in positive characteristics, and hyperbolicity conjectures. He is affiliated with the Chair of Algebraic Geometry and contributes to teaching and administrative roles within the institution. His work includes publications in prestigious journals such as the Journal of the American Mathematical Society and Advances in Mathematics. Patakfalvi also supervises PhD students and teaches courses such as Algebra IV - rings and modules.
Scholar-generated biography
Zsolt Patakfalvi is a researcher at École polytechnique fédérale de Lausanne, specializing in algebraic geometry, commutative algebra, arithmetic geometry, and complex geometry. His work focuses on the moduli spaces of stable log-varieties, the minimal model program for threefolds in mixed characteristic, and positivity properties of CM line bundles for families of K-stable klt Fano varieties. He investigates singularities of general fibers, semi-positivity in positive characteristics, and the behavior of relative canonical sheaves under base change. His research also addresses the birational characterization of Abelian varieties and the Beauville–Bogomolov decomposition in positive characteristic.