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Professor Andrey Lazarev

Professor

  1. 2023
  2. Published

    Homotopy relative Rota-Baxter Lie algebras, triangular $L_\infty$-bialgebras and higher derived brackets

    Lazarev, A., Sheng, Y. & Tang, R., 1/04/2023, In: Transactions of the American Mathematical Society. 376, 4, p. 2921-2945 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. 2022
  4. Published

    Categorical Koszul Duality

    Holstein, J. & Lazarev, A., 30/11/2022, In: Advances in Mathematics. 409, Part B, 52 p., 108644.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  5. 2021
  6. Published

    Koszul duality for compactly generated derived categories of second kind

    Guan, A. & Lazarev, A., 7/12/2021, In: Journal of Noncommutative Geometry. 15, 4, p. 1355-1371 17 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  7. Published

    Rank functions on triangulated categories

    Lazarev, A. & Chuang, J., 1/12/2021, In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 2021, 781

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. Published

    Maurer-Cartan moduli and theorems of Riemann-Hilbert type

    Chuang, J., Holstein, J. & Lazarev, A., 31/08/2021, In: Applied Categorical Structures. 29, 4, p. 685-728 44 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  9. Published

    Homotopy theory of monoids and derived localization

    Chuang, J., Holstein, J. & Lazarev, A., 30/06/2021, In: Journal of Homotopy and Related Structures. 16, 2, p. 175-189 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. Published

    Deformations and Homotopy Theory of Relative Rota-Baxter Lie Algebras

    Lazarev, A., Sheng, Y. & Tang, R., 15/04/2021, In: Communications in Mathematical Physics. 383, p. 595–631 37 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  11. 2020
  12. Published

    Homological epimorphisms, homotopy epimorphisms and acyclic maps

    Chuang, J. & Lazarev, A., 1/11/2020, In: Forum Mathematicum. 32, 6, p. 1395–1406 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  13. 2019
  14. Published

    On the perturbation algebra

    Chuang, J. & Lazarev, A., 1/02/2019, In: Journal of Algebra. 519, p. 130-148 19 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  15. 2018
  16. Published

    Derived localisation of algebras and modules

    Braun, C., Chuang, J. & Lazarev, A., 13/04/2018, In: Advances in Mathematics. 328, p. 555-622 68 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  17. 2016
  18. Published

    Cocommutative algebras: homotopy theory and Koszul duality

    Chuang, J., Lazarev, A. & Mannan, W. H., 11/2016, In: Homology, Homotopy and Applications. 18, 2, p. 303-336 34 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  19. Published

    Koszul-Morita duality

    Chuang, J., Lazarev, A. & Mannan, W., 2016, In: Journal of Noncommutative Geometry. 10, 4, p. 1541-1557 17 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  20. 2015
  21. Published

    Unimodular homotopy algebras and Chern-Simons theory

    Braun, C. & Lazarev, A., 11/2015, In: Journal of Pure and Applied Algebra. 219, 11, p. 5158-5194 37 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  22. Published

    Disconnected rational homotopy theory

    Lazarev, A. & Markl, M., 1/10/2015, In: Advances in Mathematics. 283, p. 303-361 59 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  23. 2014
  24. Published

    Models for classifying spaces and derived deformation theory

    Lazarev, A., 2014, In: Proceedings of the London Mathematical Society. 109, 1, p. 40-64 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  25. 2013
  26. Published

    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/MagazineJournal articlepeer-review

  27. Published

    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/MagazineJournal articlepeer-review

  28. Published

    Homotopy BV algebras in Poisson geometry

    Braun, C. & Lazarev, A., 2013, In: Transactions of Moscow Mathematical Society. 74, 2, p. 217-227 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  29. 2012
  30. Published

    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/MagazineJournal articlepeer-review

  31. 2011
  32. Published

    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/MagazineJournal articlepeer-review

  33. 2010
  34. Published

    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/MagazineJournal articlepeer-review

  35. 2009
  36. Published

    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/MagazineJournal articlepeer-review

  37. Published

    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/MagazineJournal articlepeer-review

  38. Published

    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/MagazineJournal articlepeer-review

  39. 2008
  40. Published

    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/MagazineJournal articlepeer-review

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