# 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