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List of publications Anton Khoroshkin Submitted: 1. "Lie algebra cohomology representing characteristic classes of flags of foliations" Preprint available at math.arxiv.org:1303.1889, 30pp. 2. "On generating series of finitely presented operads" (with D. Piontkovski), Preprint available at math.arxiv.org:1202.5170, 32pp. Submitted to Jounal of Algebra. Accepted or Published: 3. "Macdonald Polynomials and BGG reciprocity for current algebras" (with A. Berenstein, M. Bennet, V. Chari, S. Loktev) Selecta Mathematica. (to appear) // Preprint available at math.arxiv.org:1207.2446, 19pp. 4. "Quillen Homology for operads via GrЁ obner bases" (with V. Dotsenko), Documenta Mathematica. 18 (2013) pp. 707­747 5. "Hypercommutative operad as a homotopy quotient of BV." (with N. Markarian and S. Shadrin) Comm. Math. Phys., to appear. // Preprint available at math.arxiv:1206.3749. 6. "Shuffle Algebras, Homology and Concecutive Pattern Avoidance" (with V. Dotsenko), Algebra & number theory, to appear. // Preprint available at math.arXiv:1109.2690, 24 pp. 7. "Using homological duality in consecutive pattern avoidance" (with B. Shapiro) Electronic J. of Combinatorics, vol.18(2), 2011, 17 pp. 8. "GrЁ obner bases for operads" (with V. Dotsenko ) Duke Math. J. 153 (2010), no. 2, 363­396. 9. "On syzygies of highest weight orbits." (with A. L. Gorodentsev and A. N. Rudakov) Moscow Seminar on Mathematical Physics. II, 79120, Amer. Math. Soc. Transl. Ser. 2, 221, Amer. Math. Soc., Providence, RI, 2007 10. "Quadratic algebras related to the bihamiltonian operad" (with M. Bershtein and V. Dotsenko) IMRN 2007, no. 24, Art. ID rnm122, 30 pp. 11. "Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad" (with V. Dotsenko ) Funct. Anal. Appl. 41 (2007), no. 1, 1­17 12. "Syzygies of some quadratic varieties and their connection with the cohomology of Lie algebras" Russian Math. Surveys 61 (2006), no. 5, 990­992 13. "Lie algebra of formal vector fields extended by formal g-valued functions" Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 335 (2006), 205­230; translation in J. Math. Sci. (N. Y.) 143 (2007), no. 1, 2816­2830, Preprints: 1


14. "Anick-type resolutions and consecutive pattern avoidance" (with V. Dotsenko) Preprint available at math.arXiv:1002.2761, 16 pp. 15. "Free resolutions via GrЁ obner bases" (with V. Dotsenko) Preprint available at math.arxiv:0912.4895, 24 pp. 16. "Lie algebra of formal vector fields that preserve the foliation structure" preprint in russian ITEP-TH-09/07, available as VINITI RAS, N1376-B2006, ­ 2006, ­ 38pp. 17. "Koszul operads and distributive lattices" Preprint ITEP-TH available at http://ellib.itep.ru/Mathphys/psfiles/05 95.ps Articles in preparation: 18. "Highest weight categories and Macdonald polynomials" 19. "On formality theorems for framed little discs operad" (with N. Markarian), 20. "GrЁ obner bases for dioperads" (with V. Dotsenko), 21. "On Hilbert series of wheeled operads"

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