Items where Author is "Lazarev, Andrey"

Journal Article

Lazarev, Andrey and Holstein, Julian (2025) Enriched Koszul duality for dg categories. Documenta Mathematica. ISSN 1431-0635 (In Press)

Lazarev, Andrey and Sheng, Yunhe and Tang, Rong (2023) Homotopy relative Rota-Baxter Lie algebras, triangular $L_\infty$-bialgebras and higher derived brackets. Transactions of the American Mathematical Society, 376 (4). pp. 2921-2945. ISSN 0002-9947

Holstein, Julian and Lazarev, Andrey (2022) Categorical Koszul Duality. Advances in Mathematics, 409 (Part B): 108644. ISSN 0001-8708

Guan, Ai and Lazarev, Andrey (2021) Koszul duality for compactly generated derived categories of second kind. Journal of Noncommutative Geometry, 15 (4). pp. 1355-1371. ISSN 1661-6952

Lazarev, Andrey and Chuang, Joseph (2021) Rank functions on triangulated categories. Journal für die reine und angewandte Mathematik (Crelle's Journal), 2021 (781). ISSN 1435-5345

Chuang, Joseph and Holstein, Julian and Lazarev, Andrey (2021) Maurer-Cartan moduli and theorems of Riemann-Hilbert type. Applied Categorical Structures, 29 (4). pp. 685-728. ISSN 1572-9095

Chuang, Joseph and Holstein, Julian and Lazarev, Andrey (2021) Homotopy theory of monoids and derived localization. Journal of Homotopy and Related Structures, 16 (2). pp. 175-189. ISSN 2193-8407

Lazarev, Andrey and Sheng, Yunhe and Tang, Rong (2021) Deformations and Homotopy Theory of Relative Rota-Baxter Lie Algebras. Communications in Mathematical Physics, 383. 595–631. ISSN 0010-3616

Chuang, Joseph and Lazarev, Andrey (2020) Homological epimorphisms, homotopy epimorphisms and acyclic maps. Forum Mathematicum, 32 (6). 1395–1406. ISSN 0933-7741

Chuang, Joseph and Lazarev, Andrey (2019) On the perturbation algebra. Journal of Algebra, 519. pp. 130-148. ISSN 0021-8693

Braun, Christopher and Chuang, Joseph and Lazarev, Andrey (2018) Derived localisation of algebras and modules. Advances in Mathematics, 328. pp. 555-622. ISSN 0001-8708

Chuang, Joseph and Lazarev, Andrey and Mannan, Wajid Hassan (2016) Cocommutative algebras : homotopy theory and Koszul duality. Homology, Homotopy and Applications, 18 (2). pp. 303-336. ISSN 1532-0073

Chuang, Joseph and Lazarev, Andrey and Mannan, Wajid (2016) Koszul-Morita duality. Journal of Noncommutative Geometry, 10 (4). pp. 1541-1557. ISSN 1661-6952

Braun, Christopher and Lazarev, Andrey (2015) Unimodular homotopy algebras and Chern-Simons theory. Journal of Pure and Applied Algebra, 219 (11). pp. 5158-5194. ISSN 0022-4049

Lazarev, Andrey and Markl, Martin (2015) Disconnected rational homotopy theory. Advances in Mathematics, 283. pp. 303-361. ISSN 0001-8708

Lazarev, Andrey (2014) Models for classifying spaces and derived deformation theory. Proceedings of the London Mathematical Society, 109 (1). pp. 40-64. ISSN 0024-6115

Lazarev, Andrey (2013) Maurer–Cartan moduli and models for function spaces. Advances in Mathematics, 235. pp. 296-320. ISSN 0001-8708

Chuang, Joseph and Lazarev, Andrey (2013) Formal geometry and combinatorics of the Maurer-Cartan equation. Letters in Mathematical Physics, 103 (1). 79–112. ISSN 0377-9017

Braun, Christopher and Lazarev, Andrey (2013) Homotopy BV algebras in Poisson geometry. Transactions of Moscow Mathematical Society, 74 (2). pp. 217-227. ISSN 0077-1554

Lazarev, Andrey and Schedler, Travis (2012) Curved infinity-algebras and their characteristic classes. Journal of Topology, 5 (3). pp. 503-528. ISSN 1753-8416

Chuang, Joseph and Lazarev, Andrey (2011) L -infinity maps and twistings. Homology, Homotopy and Applications, 13 (2). pp. 175-195. ISSN 1532-0073

Chuang, Joseph and Lazarev, Andrey (2010) Feynman diagrams and minimal models for operadic algebras. Journal of the London Mathematical Society, 81 (2). pp. 317-337. ISSN 0024-6107

Hamilton, Alastair and Lazarev, Andrey (2009) Graph cohomology classes in the Batalin-Vilkovisky formalism. Journal of Geometry and Physics, 59 (5). pp. 555-575. ISSN 0393-0440

Chuang, Joseph and Lazarev, Andrey (2009) Abstract Hodge decomposition and minimal models for cyclic algebras. Letters in Mathematical Physics, 89 (1). pp. 33-49. ISSN 0377-9017

Hamilton, Alastair and Lazarev, Andrey (2009) Cohomology theories for homotopy algebras and noncommutative geometry. Algebraic and Geometric Topology, 9 (3). pp. 1503-1583. ISSN 1472-2747

Hamilton, Alastair and Lazarev, Andrey (2008) Characteristic classes of $\ai$-algebras. Journal of Homotopy and Related Structures, 3 (1). pp. 65-111. ISSN 2193-8407

Lazarev, Andrey and Voronov, Alexander (2008) Graph homology : Koszul and Verdier duality. Advances in Mathematics, 218 (6). pp. 1878-1894. ISSN 0001-8708

Lazarev, Andrey (2008) The Stasheff model of a simply-connected manifold and the string bracket. Proceedings of the American Mathematical Society, 136 (2). pp. 735-745. ISSN 1088-6826

Hamilton, Alastair and Lazarev, Andrey (2008) Symplectic C ∞ -algebras. Moscow Mathematical Journal, 8 (3). ISSN 1609-3321

Contribution in Book/Report/Proceedings

Hamilton, Alastair and Lazarev, Andrey (2008) Symplectic A ∞ -algebras and string topology operations. In: Geometry, topology, and mathematical physics : S.P. Novikov's seminar, 2006-2007. American Mathematical Society, Providence, R.I., 147–157. ISBN 9780821846742

Thesis

Eurenius, Björn and Lazarev, Andrey (2024) Enriched Koszul duality. PhD thesis, Lancaster University.

Guan, Ai and Lazarev, Andrey (2021) Koszul Duality and Deformation Theory. PhD thesis, Lancaster University.

Maunder, James and Lazarev, Andrey (2017) Homotopy theory of moduli spaces. PhD thesis, Lancaster University.

Braun, Christopher and Lazarev, Andrey (2012) Operads and moduli spaces. PhD thesis, Univ Leicester, University of Leicester.