# Professor Andrey Lazarev

Professor of Pure Mathematics## Research 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)

01/09/2020 → 31/08/2023

Research

- Algebra and Geometry