Professor Andrey Lazarev
Professor of Pure MathematicsResearch Overview
My current research interests lie at the junction between different areas of Pure Mathematics and Mathematical Physics: Algebraic Topology, Homological Algebra and Deformation Theory, Noncommutative Geometry and Conformal Field Theory.
The projects I am presently working on aim to apply ideas and methods of quantum field theory (Feynman path integrals) to classical problems of algebra and geometry, such as the study of moduli spaces. I am also interested in algebraic topology, rational homotopy theory and deformation theory.
Web Links
http://www.maths.lancs.ac.uk/~lazarev/
PhD Supervision Interests
Homological algebra and derived categories Higher structures and noncommutative geometryDeformation theory of geometric and algebraic structuresOperads and Topological Field TheoriesRational homotopy theory
-
Rank Functions on Triangulated Categories, Homotopy Theory and Representations of Finite Groups (RANKS)
01/12/2020 → 31/08/2024
Research
- Algebra and Geometry