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Research publications

  1. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, Givental action is homotopy gauge symmetry, arXiv:1304.3343
  2. Vladimir Dotsenko and Norbert Poncin, A tale of three homotopies, arXiv:1208.4695.
  3. Vladimir Dotsenko, Sergey Shadrin, and Bruno Vallette, De Rham cohomology and homotopy Frobenius manifolds, arXiv:1203.5077, to appear in J. Eur. Math. Soc.
  4. Vladimir Dotsenko and Anton Khoroshkin, Quillen homology for operads via Gröbner bases, arXiv:1203.5053.
  5. Vladimir Dotsenko and Bruno Vallette, Higher Koszul duality for associative algebras, arXiv:1201.6509, to appear in Glasgow Mathematical Journal.
  6. 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.
  7. Vladimir Dotsenko, Dual alternative algebras in characteristic three, arXiv:1111.2289, to appear in Communications in Algebra.
  8. Vladimir Dotsenko, Pattern avoidance in labelled trees, arXiv:1110.0844, Séminaire Lotharingien de Combinatoire, B67b (2012), 27 pp.
  9. Vladimir Dotsenko and James Griffin, Cacti and filtered distributive laws, arXiv:1109.5345.
  10. Vladimir Dotsenko and Anton Khoroshkin, Shuffle algebras, homology, and consecutive pattern avoidance, arXiv:1109.2690, to appear in Algebra & Number Theory.
  11. Vladimir Dotsenko and Mikael Vejdemo Johansson, Implementing Gröbner bases for operads, arXiv:0909.4950, Séminaires et Congrès, Volume 26 (2011), 77-98.
  12. Vladimir Dotsenko, Freeness theorems for operads via Gröbner bases, arXiv:0907.4958, Séminaires et Congrès, Volume 26 (2011), 61-76.
  13. Vladimir Dotsenko and Anton Khoroshkin, Gröbner bases for operads, arXiv:0812.4069, Duke Math. J., Volume 153, Number 2 (2010), 363-396.
  14. Sergey Cherkis, Vladimir Dotsenko, and Christian Saemann, On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification, arXiv:0812.3127, Phys. Rev. D, 79, 086002 (2009), 11 pages.
  15. Vladimir Dotsenko, Parking functions and vertex operators, arXiv:0809.3683, Selecta Mathematica, 14: 2 (2009), 229-245.
  16. Vladimir Dotsenko, Compatible associative products and trees, arXiv:0809.1773, Algebra & Number Theory, 3 (2009), no. 5, 567-586.
  17. Vladimir Dotsenko, An operadic approach to deformation quantization of compatible Poisson brackets, I, arXiv:math/0611154, J. Gen. Lie Theory and Appl., 1 (2007), No. 2, 107-115.
  18. Mikhail Bershtein, Vladimir Dotsenko, and Anton Khoroshkin, Quadratic algebras related to the bihamiltonian operad, arXiv:math/0607289, Int Math Res Notices Vol. 2007: article ID rnm122, 30 pages.
  19. 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.
  20. 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. Journal version
  21. V.Dotsenko, N.Iyudu, and D.Korytin, An analogue of the Magnus problem for associative algebras, arXiv:0801.3009, J. Math.Sci (New York), 131, no. 6 (2005), 6023-6026.

Expository publications

Some of these publications can be downloaded from the 'Attachments' section below.
  1. Vladimir Dotsenko, Review of the book "Alan M. Turing" by Sara Turing, Irish Math. Soc. Bulletin Number 70, Winter 2012, 54-57.
  2. Vladimir Dotsenko, Remembering Jean-Louis Loday, 2012.
  3. 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.
  4. Vladimir Dotsenko, Pseudo-characters, expository notes for a session of Number Theory group discussing deformations of Galois representations, 2011.
  5. Vladimir Dotsenko and Constantin Shramov, Об одной хорошо забытой старой задаче [On a well forgotten maths problem], Quant, 4 (2009), 34-36 (in Russian).
  6. 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).
  7. Vladimir Dotsenko, Заметки о случайных изоморфизмах [Notes on casual isomorphisms], Math. Education, 12 (2008), 81-94 (in Russian).
  8. 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 (in Russian).
  9. Vladimir Dotsenko, Задачи о метрических компактах [Some problems on compact metric spaces], Math. Education, 8 (2004), 237-238 (in Russian).
  10. Vladimir Dotsenko, Числа Каталана и естественные отображения [Catalan numbers and natural maps], in Saint--Petersburg Mathematical Olympiad 2003, SPb, Nevskii Dialekt publishers, 2003. (In Russian); 2nd edition in Collected materials of summer camps of the Tournament of Towns, MCCME publishers, 2009.
  11. Vladimir Dotsenko, Об одном доказательстве теоремы Гильберта о нулях [A proof of Hilbert's Nullstellensatz], Math. Education, 6 (2002), 116-118 (in Russian).

Preprints superseded by other articles or not intended for publication

  1. Vladimir Dotsenko and Anton Khoroshkin, Free resolutions via Gröbner bases, arXiv:0912.4895.
  2. Vladimir Dotsenko and Anton Khoroshkin, Anick-type resolutions and consecutive pattern avoidance, arXiv:1002.2761.
  3. Vladimir Dotsenko, A remark on Frobenius characters of set representations of symmetric groups, arXiv:0802.1340.
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Vladimir Dotsenko,
13 Sep 2011, 04:15
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Vladimir Dotsenko,
13 Sep 2011, 04:15
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Vladimir Dotsenko,
8 Nov 2012, 22:48
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Vladimir Dotsenko,
13 Sep 2011, 04:16
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Vladimir Dotsenko,
13 Sep 2011, 04:16
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Vladimir Dotsenko,
13 Sep 2011, 04:15
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Vladimir Dotsenko,
28 Oct 2011, 07:11
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Vladimir Dotsenko,
12 Nov 2012, 13:10
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Vladimir Dotsenko,
30 May 2012, 02:44