List of publications

[49]   The odd nilHecke algebra and its diagrammatics (with Alexander Ellis and Aaron Lauda), arXiv:1111.1320.

[48]   The Hopf algebra of odd symmetric functions (with Alexander Ellis), arXiv:1107.5610.

[47]   Categorification of the polynomial ring (with Radmila Sazdanovic), arXiv:1101.0293.

[46]   Heisenberg algebra and a graphical calculus, arXiv:1009.3295.

[45]   Categorifications from planar diagrammatics, Japanese J. of Mathematics 5, 153--181 (2010), arXiv:1008.5084.

[44]   A categorification of the Casimir of quantum sl(2) (with Anna Beliakova and Aaron Lauda), to appear in Advances in Math., arXiv:1008.0370.

[43]  How to categorify one-half of quantum gl(1|2), arXiv:1007.3517.

[42]   Extended graphical calculus for categorified quantum sl(2) (with Aaron Lauda, Marco Mackaay, and Marko Stosic), to appear in Memoirs of the AMS, arXiv:1006.2866.

[41]  Diagrammatics for Soergel cattegories (with Ben Elias), arXiv:0902.4700.

[40]   A diagrammatic approach to categorification of quantum groups III (with Aaron Lauda), arXiv:0807.3250.

[39]   A diagrammatic approach to categorification of quantum groups II (with Aaron Lauda), arXiv:0804.2080.

[38]   Notes on link homology (with Marta Asaeda), arXiv:0804.1279.

[37]   A diagrammatic approach to categorification of quantum groups I (with Aaron Lauda), arXiv:0803.4121.

[36]   A brief review of abelian categorifications (with Volodymyr Mazorchuk and Catharina Stroppel), arXiv:math.RT/0702746.

[35]   Virtual crossings, convolutions and a categorification of the SO(2N) Kauffman polynomial (with Lev Rozansky), Journal of Gökova Geometry Topology, vol. 1 (2007), 116-214, arXiv:math.QA/0701333.

[34]   An invariant of tangle cobordisms via subquotients of arc rings (with Yanfeng Chen), arXiv:math.QA/0610054.

[33]   Braid cobordisms, triangulated categories, and flag varieties (with Richard Thomas), Homology, Homotopy and Applications 9 (2007), 19--94, arXiv:math.QA/0609335.

[32]   A categorification of integral Specht modules (with Volodymyr Mazorchuk and Catharina Stroppel), Proceedings of the AMS, vol.136, no.4 (2008), 1163-1169, arXiv:math.RT/0607630.

[31]   Link homology and categorification, Proceedings of the ICM-2006, Madrid, vol.2 989--999, arXiv:math.QA/0605339.

[30]   A categorification of finite-dimensional irreducible representations of quantum sl(2) and their tensor products (with Igor Frenkel and Catharina Stroppel), Selecta Mathematica, vol.12, n.3-4 (2006), 379-431, arXiv:math.QA/0511467.

[29]   Triply-graded link homology and Hochschild homology of Soergel bimodules, International Journal of Math., vol.18, no.8 (2007), 869-885, arXiv:math.GT/0510265.

[28]   Hopfological algebra and categorification at a root of unity: the first steps, to appear in Communications in Contemporary Math., arXiv:math.QA/0509083.

[27]   Matrix factorizations and link homology II (with Lev Rozansky), Geometry and Topology, vol.12 (2008), 1387-1425, arXiv:math.QA/0505056.

[26]   Link homology and Frobenius extensions, Fundamenta Mathematicae, 190 (2006), 179-190, arXiv:math.QA/0411447.

[25]   Topological Landau-Ginzburg models on a world-sheet foam (with Lev Rozansky), Adv. Theor. Math. Phys., vol.11, no.2 (2007), 233-259, arXiv:hep-th/0404189.

[24]   Matrix factorizations and link homology (with Lev Rozansky), Fundamenta Mathematicae, vol.199 (2008), 1-91, arXiv:math.QA/0401268.

[23]   Homological realization of Nakajima varieties and Weyl group actions (with Igor Frenkel and Olivier Schiffmann), Compositio Mathematica 141, n. 6 (2005) 1504-1530, arXiv:math.QA/0311485.

[22]   sl(3) link homology I, Algebr. Geom. Topol. 4 (2004) 1045--1081 (electronic), arXiv:math.QA/0304375.

[21]   Categorifications of the colored Jones polynomial, J. Knot theory and its Ramifications 14 (2005) no.1, 111--130, arXiv:math.QA/0302060.

[20]   An invariant of tangle cobordisms, Trans. Amer. Math. Soc. 358 (2006), 315-327, arXiv:math.QA/0207264.

[19]   Categorification of some level two representations of sl(n) (with Stella Huerfano), J. Knot theory and its Ramifications 15 (2006) no.6, 695-713, arXiv:math.QA/0204333.

[18]   Crossingless matchings and the cohomology of (n,n) Springer varieties, Communications in Contemporary Math. 6 (2004) no.2, 561--577, arXiv:math.QA/0202110.

[17]   Patterns in knot cohomology I, Experimental mathematics 12 (2003) no.3, 365--374, arXiv:math.QA/0201306.

[16]   A functor-valued invariant of tangles, Algebr. Geom. Topol. 2 (2002), 665--741 (electronic), arXiv:math.QA/0103190.

[15]   Quivers, Floer cohomology, and braid group actions (with Paul Seidel), J. Amer. Math. Soc. 15 (2002), no. 1, 203--271 (electronic), arXiv:math.QA/0006056.

[14]   A categorification of the Temperley-Lieb algebra and Schur quotients of U(sl(2)) via projective and Zuckerman functors (with Joseph Bernstein and Igor Frenkel), Selecta Math. (N.S.) 5 (1999), no. 2, 199--241, arXiv:math.QA/0002087.

[13]   A category for the adjoint representation (with Stella Huerfano), J. Algebra 246 (2001), no. 2, 514--542, arXiv:math.QA/0002060.

[12]   A categorification of the Jones polynomial, Duke Math. J. 101 (2000), no. 3, 359--426, arXiv:math.QA/9908171.

[11]   NilCoxeter algebras categorify the Weyl algebra, Comm. Algebra 29 (2001), no. 11, 5033--5052, arXiv:math.RT/9906166.

[10]   Web bases for sl(3) are not dual canonical (with Greg Kuperberg), Pacific J. Math. 188 (1999), no. 1, 129--153, arXiv:q-alg/9712046.

[9]   Kazhdan-Lusztig polynomials and canonical basis (with Igor Frenkel and Alexander Kirillov Jr), Transform. Groups 3 (1998), no. 4, 321--336, arXiv:q-alg/9709042.

[8]   Graphical calculus, canonical bases and Kazhdan-Lusztig theory, PhD thesis, Yale University, May 1997.

[7]   Canonical bases in tensor products and graphical calculus for Uq(sl2) (with Igor Frenkel), Duke Math. J. 87 (1997) no.3, 409--480.

[6]   Doodle groups, Trans. Amer. Math. Soc. 349 (1997), no. 6, 2297--2315.

[5]   Real K(π,1) arrangements from finite root systems, Math. Res. Lett. 3 (1996), no. 2, 261--274.

[4]   Some remarks on Tabachnikov's invariants of plane curves. J. Knot Theory Ramifications 5 (1996), no. 6, 849--857.

[3]   Representations of tensor categories and Dynkin diagrams (with Pavel Etingof), Internat. Math. Res. Notices (1995) no.5, 235--247. arXiv:hep-th/9408078.

[2]   The set of slice doodles is NP-complete, preprint 1995.

[1]   Surfaces in three-space and braided algebras, preprint 1995.