معرفی
Prof. Dr. Gavril Farkas is a Full Professor (W3) and the Director of the Institute of Mathematics at Humboldt-Universität zu Berlin, where he leads the Algebraic Geometry I research group and serves as Chair of the Berlin Mathematical School. His academic career spans prestigious institutions including Princeton University and the University of Texas at Austin before joining Humboldt University in 2007.
Professor Farkas completed his PhD at the Universiteit van Amsterdam in 2000 under Gerard van der Geer with a thesis titled "The birational geometry of the moduli space of curves." His academic journey began with studies at Babes-Bolyai University, followed by a Master's program in the Netherlands, and postdoctoral work at the University of Michigan.
His research focuses on algebraic geometry, particularly the geometry and topology of moduli spaces. His work spans multiple interconnected areas including moduli of curves, enumerative geometry, syzygies, vector bundles on curves, abelian varieties, Prym varieties, K3 surfaces, and Brill-Noether theory. Professor Farkas employs sophisticated techniques from commutative algebra, topology, and combinatorics to address fundamental questions in algebraic geometry.
His recent publications demonstrate a continued focus on the interplay between syzygies, moduli spaces, and topological invariants. The 15 most recent papers reveal a strong emphasis on Koszul modules, resonance varieties, and their applications to classical problems in algebraic geometry, with frequent collaborations with leading mathematicians across Europe and the United States.
- Member of Berlin-Brandenburgische Akademie der Wissenschaften (2022)
- Member of Academia Europaea (2023)
- ERC Advanced Grant "SYZYGY: Syzgies, moduli and topological invariants of groups" (2020-2026)
- DFG Research Training Group Berlin-Hannover "From geometry to numbers" (2024-2029)
As a dedicated educator, Professor Farkas has supervised over 15 PhD students whose work spans various aspects of algebraic geometry. He is Managing Editor of "Algebraic Geometry" and serves on editorial boards of several prestigious mathematics journals. He regularly organizes international conferences including upcoming events "Two centuries of moduli" in Berlin (2026) and "Algebraic curves: moduli and syzygies" in Cetraro (2026), demonstrating his continued leadership in the field.
