Yankı Lekili is a Professor of Geometry at the Department of Mathematics, Imperial College London, affiliated with the Faculty of Natural Sciences. His research focuses on symplectic topology, low-dimensional topology, and their connections to algebraic geometry and geometric representation theory. He explores topics including mirror symmetry conjectures, Fukaya categories, and homological mirror symmetry for various geometric structures. Education: PhD in Mathematics from MIT (2009), specializing in broken Lefschetz fibrations and Heegaard-Floer homology. Teaching: Courses include Elliptic Curves, Commutative Algebra, Algebraic Topology, and Representation Theory. Research Interests: Symplectic manifolds, Lagrangian submanifolds, derived equivalences, and categorical mirror symmetry applications. His work bridges symplectic geometry with algebraic geometry, particularly through mirror symmetry. Recent studies involve Fukaya categories of singularities, noncommutative crepant resolutions, and equivariant cohomology. He collaborates internationally, contributing to topics like the Fargues-Fontaine curve and Auslander algebras.










