معرفی
Yankı Lekili is a Professor of Geometry in the Department of Mathematics at Imperial College London. He teaches advanced courses including Algebraic Curves (7CCMMS16T), Elliptic Curves (MATH70064), and Commutative Algebra (MATH70061), with his office located in HXLY 625 at Imperial College London. His academic profile demonstrates a strong commitment to both teaching and research in pure mathematics.
Professor Lekili's research centers on the deep connections between algebraic geometry and symplectic geometry, with particular emphasis on homological mirror symmetry. His work explores Fukaya categories across diverse geometric contexts including Milnor fibers of singularities, symmetric products of curves, and compound Du Val singularities. He has made significant contributions to understanding how algebraic structures correspond to symplectic invariants through mirror symmetry phenomena, bridging abstract mathematical concepts with concrete geometric interpretations.
Analysis of his publication record from 2018-2025 reveals a consistent research trajectory focused on homological mirror symmetry across increasingly complex geometric settings. His recent work has expanded into specialized areas such as Rabinowitz Fukaya categories, noncommutative crepant resolutions, and equivariant Fukaya categories at singular values. A distinctive pattern in his research is the bidirectional application of techniques—using Fukaya category methods to solve problems in algebraic geometry while simultaneously applying algebraic insights to advance symplectic topology.
Professor Lekili has established productive collaborations with leading mathematicians including Kazushi Ueda, Alexander Polishchuk, and Jonny Evans. His publications appear in top-tier mathematics journals such as Advances in Mathematics, Geometry & Topology, and Journal of Topology, reflecting the significance and quality of his contributions to mathematical research. His work has implications beyond pure mathematics, potentially informing theoretical physics frameworks where mirror symmetry plays a crucial role.
