## Professor Andrey Lazarev

Professor, Head of Department

B7 Fylde College

Lancaster University

Bailrigg

Lancaster

United Kingdom

LA1 4YF

+44 (0)1524 592156

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.

### Andrey Lazarev's Publications

#### 2013

##### Maurer–Cartan moduli and models for function spaces

Lazarev, A. 1/03/2013 In : Advances in Mathematics. 235, p. 296-320 25 p.

Research output: Contribution to journal › Journal article

##### Formal geometry and combinatorics of the Maurer-Cartan equation

Chuang, J. & Lazarev, A. 2013 In : Letters in Mathematical Physics. 103, 1, p. 79–112 34 p.

Research output: Contribution to journal › Journal article

#### 2012

##### Curved infinity-algebras and their characteristic classes

Lazarev, A. & Schedler, T. 2012 In : Journal of Topology. 5, 3, p. 503-528 26 p.

Research output: Contribution to journal › Journal article

#### 2011

##### L -infinity maps and twistings

Chuang, J. & Lazarev, A. 2011 In : Homology, Homotopy and Applications . 13, 2, p. 175-195 21 p.

Research output: Contribution to journal › Journal article

#### 2010

##### Feynman diagrams and minimal models for operadic algebras.

Chuang, J. & Lazarev, A. 04/2010 In : Journal of the London Mathematical Society. 81, 2, p. 317-337 21 p.

Research output: Contribution to journal › Journal article

#### 2009

##### Graph cohomology classes in the Batalin-Vilkovisky formalism

Hamilton, A. & Lazarev, A. 05/2009 In : Journal of geometry and physics. 59, 5, p. 555-575 21 p.

Research output: Contribution to journal › Journal article

##### Abstract Hodge decomposition and minimal models for cyclic algebras

Chuang, J. & Lazarev, A. 2009 In : Letters in Mathematical Physics. 89, 1, p. 33-49 17 p.

Research output: Contribution to journal › Journal article

##### Cohomology theories for homotopy algebras and noncommutative geometry

Hamilton, A. & Lazarev, A. 2009 In : Algebraic and Geometric Topology . 9, 3, p. 1503-1583 81 p.

Research output: Contribution to journal › Journal article

#### 2008

##### Characteristic classes of $\ai$-algebras

Hamilton, A. & Lazarev, A. 2008 In : Journal of Homotopy and Related Structures. 3, 1, p. 65-111 47 p.

Research output: Contribution to journal › Journal article

##### Graph homology: Koszul and Verdier duality

Lazarev, A. & Voronov, A. 2008 In : Advances in Mathematics. 218, 6, p. 1878-1894 17 p.

Research output: Contribution to journal › Journal article

##### Symplectic A ∞ -algebras and string topology operations.

Hamilton, A. & Lazarev, A. 2008 *Geometry, topology, and mathematical physics : S.P. Novikov's seminar, 2006-2007 .* Novikov, S. P., Buchstaber, V. M. & Krichever, I. M. (eds.). Providence, R.I.: American Mathematical Society, p. 147–157 11 p.

Research output: Contribution in Book/Report/Proceedings › Paper

##### Symplectic C ∞ -algebras.

Hamilton, A. & Lazarev, A. 2008 In : Moscow Mathematical Journal. 8, 3

Research output: Contribution to journal › Journal article

##### The Stasheff model of a simply-connected manifold and the string bracket.

Lazarev, A. 2008 In : Proceedings of the American Mathematical Society. 136, 2, p. 735-745 11 p.

Research output: Contribution to journal › Journal article

### Current Students

Research students currently supervised by Andrey Lazarev include: