Page mathématique de Vladimir DOTSENKO

Livres / Books

  1. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, Maurer--Cartan methods in deformation theory: the twisting procedure, preliminary version: arXiv:1810.02941, to appear in London Mathematical Society Lecture Note Series (Cambridge University Press), 2021.
  2. Murray Bremner and Vladimir Dotsenko, Algebraic Operads: An Algorithmic Companion, Chapman and Hall / CRC Press, 2016, xviii+365 pp.

Prépublications / Preprints

  1. Vladimir Dotsenko, Sergey Shadrin, and Pedro Tamaroff, Generalized cohomological field theories in the higher order formalism, arXiv:2112.06015.
  2. Vladimir Dotsenko, Evgeny Feigin, and Markus Reineke, Koszul algebras and Donaldson-Thomas invariants, arXiv:2111.07588.
  3. Vladimir Dotsenko and Sergey Mozgovoy, DT invariants from vertex algebras, arXiv:2108.10338.
  4. Vladimir Dotsenko and Pedro Tamaroff, Tangent complexes and the Diamond Lemma, arXiv:2010.14792.
  5. Vladimir Dotsenko, Sergey Shadrin, Arkady Vaintrob, and Bruno Vallette, Deformation theory of cohomological field theories, arXiv:2006.01649.
  6. Vladimir Dotsenko and Oisín Flynn-Connolly, The Schur functor of universal enveloping pre-Lie algebra, arXiv:2001.00780.
  7. Vladimir Dotsenko, Vincent Gélinas, and Pedro Tamaroff, Finite generation for Hochschild cohomology of Gorenstein monomial algebras, arXiv:1909.00487.

Publications

  1. Vladimir Dotsenko, Homotopy invariants for M0,n via Koszul duality, arXiv:1902.06318, to appear in Inventiones Mathematicae, online version on the publisher's website, and a free view-only version available as a part of "Springer Nature Content Sharing Initiative".
  2. Vladimir Dotsenko and Loïc Foissy, Operads of enriched pre-Lie algebras and freeness theorems, arXiv:2002.10536, to appear in Journal of Combinatorial Algebra.
  3. Vladimir Dotsenko and Anton Khoroshkin, Homotopical rigidity of the pre-Lie operad, arXiv:2002.12918, to appear in Proceedings of the American Mathematical Society, online version on the publisher's website.
  4. Vladimir Dotsenko and Pedro Tamaroff, Endofunctors and Poincaré-Birkhoff-Witt theorems, arXiv:1804.06485, International Mathematics Research Notices, Volume 2021, Issue 16, August 2021, Pages 12670–12690, online version on the publisher's website.
  5. Murray Bremner and Vladimir Dotsenko, Distributive laws between the operads Lie and Com, arXiv:1912.05519, International Journal of Algebra and Computation, 30 (2020), no. 8, 1565-1576, online version on the publisher's website
  6. Vladimir Dotsenko, Martin Markl, and Elisabeth Remm, Veronese powers of operads and pure homotopy algebras, arXiv:1706.04893, European Journal of Mathematics, 6 (2020), 829-863, online version on the publisher's website.
  7. Vladimir Dotsenko, Martin Markl, and Elisabeth Remm, Non-Koszulness of operads and positivity of Poincaré series, arXiv:1604.08580, Documenta Mathematica 25 (2020), 309-328, online version on the publisher's website.
  8. Vladimir Dotsenko, Word operads and admissible orderings, arXiv:1907.03992, Applied Categorical Structures, 28 (2020), 595-600, online version on the publisher's website.
  9. Vladimir Dotsenko, Functorial PBW theorems for post-Lie algebras, arXiv:1903.04435, Communications in Algebra, 48 (2020), no. 5, 2072-2080, online version on the publisher's website.
  10. Murray Bremner and Vladimir Dotsenko, Boardman-Vogt tensor products of absolutely free operads, arXiv:1705.04573, Proceedings of the Royal Society of Edinburgh Section A, 150 (2020), no. 1, 367-385, online version on the publisher's website.
  11. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, Toric varieties of Loday's associahedra and noncommutative cohomological field theories, arXiv:1510.03261, Journal of Topology 12 (2019), 463-535, online version on the publisher's website.
  12. Vladimir Dotsenko, Algebraic structures of F-manifolds via pre-Lie algebras, arXiv:1706.07340, Annali di Matematica Pura et Applicata, 198 (2019), no. 2, 517-527, online version on the publisher's website.
  13. Vladimir Dotsenko, A Quillen adjunction between algebras and operads, Koszul duality, and the Lagrange inversion formula, arXiv:1606.08222, International Mathematics Research Notices, Vol. 2017: article ID rnx257, 21 pages, online version on the publisher's website.
  14. Murray Bremner and Vladimir Dotsenko, Classification of regular parametrised one-relation operads, arXiv:1507.06372, Canadian Journal of Mathematics, 69 (2017), no. 5, 992-1035, online version on the publisher's website.
  15. Vladimir Dotsenko and Soutrik Roy Chowdhury, Anick resolution and Koszul algebras of finite global dimension, arXiv:1605.06983, Communications in Algebra, 45 (2017), no. 12, 5380-5383, online version on the publisher's website.
  16. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, Pre-Lie deformation theory, arXiv:1502.03280, Moscow Mathematical Journal, 16 (2016), no. 3, 505-543, online version on the publisher's website.
  17. Vladimir Dotsenko and Norbert Poncin, A tale of three homotopies, arXiv:1208.4695, Applied Categorical Structures, 24 (2016), Issue 6, 845-873, online version on the publisher's website.
  18. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, Givental action and trivialisation of circle action, arXiv:1304.3343, Journal of École Polytechnique - Mathematiques, 2 (2015), 213-246, online version on the publisher's website.
  19. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, De Rham cohomology and homotopy Frobenius manifolds, arXiv:1203.5077, Journal of European Mathematical Society, 17 (2015), 535-547, online version on the publisher's website.
  20. Vladimir Dotsenko and James Griffin, Cacti and filtered distributive laws, arXiv:1109.5345, Algebraic and Geometric Topology, 14 (2014), issue 6, 3185-3225, online version on the publisher's website.
  21. Vladimir Dotsenko, Dual alternative algebras in characteristic three, arXiv:1111.2289, Communications in Algebra, 42 (2014), Issue 5, 1911-1920, online version on the publisher's website.
  22. Vladimir Dotsenko and Anton Khoroshkin, Quillen homology for operads via Gröbner bases, arXiv:1203.5053, Documenta Mathematica, 18 (2013), 707-747, online version on the publisher's website.
  23. Vladimir Dotsenko and Bruno Vallette, Higher Koszul duality for associative algebras, arXiv:1201.6509, Glasgow Mathematical Journal, 55 (2013), issue A, 55-74, online version on the publisher's website.
  24. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, Givental group action on topological field theories and homotopy Batalin--Vilkovisky algebras. arXiv:1112.1432, Advances in Mathematics 236 (2013) 224–256, online version on the publisher's website.
  25. Vladimir Dotsenko and Anton Khoroshkin, Shuffle algebras, homology, and consecutive pattern avoidance, arXiv:1109.2690, Algebra & Number Theory, 7 (2013), No. 3, 673–700, online version on the publisher's website.
  26. Vladimir Dotsenko, Pattern avoidance in labelled trees, arXiv:1110.0844, Séminaire Lotharingien de Combinatoire, B67b (2012), 27 pp., online version on the publisher's website.
  27. Vladimir Dotsenko and Anton Khoroshkin, Gröbner bases for operads, arXiv:0812.4069, Duke Mathematics Journal, Volume 153, Number 2 (2010), 363-396, online version on the publisher's website.
  28. Sergey Cherkis, Vladimir Dotsenko, and Christian Saemann, Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification, arXiv:0812.3127, Physical Review D, 79, 086002 (2009), 11 pp., online version on the publisher's website.
  29. Vladimir Dotsenko, Parking functions and vertex operators, arXiv:0809.3683, Selecta Mathematica, 14: 2 (2009), 229-245, online version on the publisher's website.
  30. Vladimir Dotsenko, Compatible associative products and trees, arXiv:0809.1773, Algebra & Number Theory, 3 (2009), no. 5, 567-586, online version on the publisher's website.
  31. Vladimir Dotsenko, An operadic approach to deformation quantization of compatible Poisson brackets, I, arXiv:math/0611154, Journal of Generalised Lie Theory and Applications, 1 (2007), No. 2, 107-115, online version on the publisher's website.
  32. Mikhail Bershtein, Vladimir Dotsenko, and Anton Khoroshkin, Quadratic algebras related to the bihamiltonian operad, arXiv:math/0607289, International Mathematics Research Notices Vol. 2007: article ID rnm122, 30 pages, online version on the publisher's website.
  33. Vladimir Dotsenko and Anton Khoroshkin, Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad, arXiv:math/0605233, Functional Analysis and Its Applications, 41 (2007), no.1, 1-17, online version on the publisher's website.
  34. Vladimir Dotsenko, Homology of the Lie algebra of vector fields on a line with coefficients in symmetric powers of its adjoint representation, Functional analysis and its applications, 40 (2006), no.2, 13-19, online version on the publisher's website.
  35. V.Dotsenko, N.Iyudu, and D.Korytin, An analogue of the Magnus problem for associative algebras, arXiv:0801.3009, Journal of Mathematical Sciences (New York), 131, no. 6 (2005), 6023-6026, online version on the publisher's website.

Actes des conférences / Conference proceedings

  1. Murray Bremner and Vladimir Dotsenko, Distributive laws between the operads Lie and Com: extended abstract. In: Maple in Mathematics Education and Research. MC 2019. Communications in Computer and Information Science, vol. 1125, 349-352.
  2. Vladimir Dotsenko, Operads, Oberwolfach Reports, 11 (2014), no. 1, 601-604.
  3. Vladimir Dotsenko and Mikael Vejdemo Johansson, Implementing Gröbner bases for operads, arXiv:0909.4950, Séminaires et Congrès, Volume 26 (2011), 77-98.
  4. Vladimir Dotsenko, Freeness theorems for operads via Gröbner bases, arXiv:0907.4958, Séminaires et Congrès, Volume 26 (2011), 61-76.
  5. Vladimir Dotsenko and Mikael Vejdemo Johansson, Operadic Gröbner bases: an implementation, Lecture Notes in Computer Science 6327 (2010), 249-252.

Publications d'exposition / Expository publications

  1. Vladimir Dotsenko, Arithmetics of quadratic forms, Moscow, MCCME publishers, 2015, 40 pages. (in Russian).
  2. Vladimir Dotsenko, Review of the book "Alan M. Turing" by Sara Turing, Irish Math. Soc. Bulletin Number 70, Winter 2012, 54-57.
  3. Vladimir Dotsenko, Remembering Jean-Louis Loday, 2012.
  4. Vladimir Dotsenko, Two languages for connections in principal bundles: proofs of basic results (supplemental notes to one of the classes in a master course), 2012.
  5. Vladimir Dotsenko, Pseudo-characters, expository notes for a session of Number Theory working group discussing deformations of Galois representations, 2011.
  6. Vladimir Dotsenko and Constantin Shramov, Об одной хорошо забытой старой задаче [On a well forgotten maths problem], Quant, 4 (2009), 34-36 (in Russian).
  7. Vladimir Dotsenko, Rafail Gordin, Alexander Shen and Constantin Shramov, Избранные задачи вступительных экзаменов в математические классы школы 57 [Selected problems from entrance exams to specialized maths classes in high school N 57, Moscow], Quant, 4 (2009), 57-58 (in Russian).
  8. Vladimir Dotsenko, Заметки о случайных изоморфизмах [Notes on casual isomorphisms], Math. Education, 12 (2008), 81-94 (in Russian).
  9. Vladimir Dotsenko (ed.), Задачи по математике, предлагавшиеся ученикам математического класса 57 школы (выпуск 2004 года, класс "Д") [Collected mathematical problems used for an advanced course in mathematics at the high school N 57, Moscow ("D" class, graduated 2004)], MCCME publishers, 2004, 220 pages (in Russian).
  10. Vladimir Dotsenko, Задачи о метрических компактах [Some problems on compact metric spaces], Math. Education, 8 (2004), 237-238 (in Russian).
  11. Vladimir Dotsenko, Числа Каталана и естественные отображения [Catalan numbers and natural maps], in Saint--Petersburg Mathematical Olympiad 2003, SPb, Nevskii Dialekt publishers, 2003; 2nd edition in Collected materials of summer camps of the Tournament of Towns, MCCME publishers, 2009, 31 pages (in Russian).
  12. Vladimir Dotsenko, Об одном доказательстве теоремы Гильберта о нулях [A proof of Hilbert's Nullstellensatz], Math. Education, 6 (2002), 116-118 (in Russian).

Prépublications remplacés par d'autres articles ou non destinés à la publication / Preprints superseded by other articles or not intended for publication

  1. Vladimir Dotsenko, Free Lie algebras are not Lily bialgebras, a version of a letter to Jean-Louis Loday, 2011.
  2. Vladimir Dotsenko and Anton Khoroshkin, Free resolutions via Gröbner bases, arXiv:0912.4895.
  3. Vladimir Dotsenko and Anton Khoroshkin, Anick-type resolutions and consecutive pattern avoidance, arXiv:1002.2761.
  4. Vladimir Dotsenko, A remark on Frobenius characters of set representations of symmetric groups, arXiv:0802.1340.