معرفی
Sergey Arkhipov is an Associate Professor in the Department of Mathematics at Aarhus University. His primary research focuses on homotopy theory of DG-categories, homotopy descent, categorical braid group actions, matrix factorizations, derived algebraic geometry, chiral algebras, and semiinfinite cohomology. He has taught undergraduate and Master's courses such as Complex Analysis and Advanced Algebra, organized graduate seminars on DG Categories and Homotopical Algebra, and supervised PhD students.
Research Interests
- Geometric representation theory
- DG categories
- Homological algebra
- Algebraic homotopy theory
- Algebraic operads
- Homotopy descent
- Categorical braid group actions
- Matrix factorizations
- Derived algebraic geometry
- Chiral algebras
- Semiinfinite cohomology
Publications Trends
Arkhipov's publications center on advanced topics in category theory, homotopy theory, and geometric representation theory, with a strong emphasis on DG-categories, matrix factorizations, and categorical structures in algebraic geometry. His work often bridges abstract categorical frameworks with concrete applications in algebra and topology.
