Recent preprints:

• New: Categorified Jones-Wenzl projectors: a comparison
• New: Completions of Grothendieck groups (jt. with P. N. Achar)
• Categorifying fractional Euler characteristics, Jones-Wenzl projector and 3j-symbols with applications to Exts of Harish-Chandra Bimodules (jt. with I. Frenkel and J. Sussan)
• Cuspidal sl(n)-modules and deformations of certain Brauer tree algebras (jt. with V. Mazorchuk)
• TQFT with corners and tilting functors in the Kac-Moody case (completely rewritten version available soon)

Published papers:

• Highest weight categories arising from Khovanov's diagram algebra I: cellularity. (jt. with J. Brundan) to appear in Mosc. Math. Journal
• Highest weight categories arising from Khovanov's diagram algebra IV: The super case. (jt. with J. Brundan) to appear in JEMS
• Blocks of the category of cuspidal sp(2n)-modules (jt. with V. Mazorchuk)  to appear in  Pacif. J. Math
• Highest weight categories arising from Khovanov's diagram algebra III: Category O. (jt. with J. Brundan) Repr. Theory 15 (2011), 170-243
• 2-block Springer fibers: convolution algebras, coherent sheaves and embedded TQFT (jt. with B. Webster) to appear in Comm. Math. Helvetici (2010)
• Schur-Weyl type duality for quantized gl(1|1), the Burau representation of braid group and invariants of tangled graph. (jt. with K. Reshetikhin, B. Webster) to appear in Proc. of Conf. "Perspectives in Analysis, Geometry and Topology" on the occasion of Oleg Viro's 60-th birthday. Progress in Math., Birkhaeuser (2010)
• The sl(n)-WZNW Fusion Ring: a combinatorial construction and a realisation as quotient of quantum cohomology.(jt. with C. Korff) Adv. Math. 225, (2010)  no 1, 200-268
• Highest weight categories arising from Khovanov's diagram algebra II: Koszulity. (jt. with J. Brundan), Transf. groups, 15 (2010)
• A brief review of abelian categorifications (jt. with M. Khovanov, V. Mazorchuk), Theories and Appl. of Categories (2009)
• A combinatorial approach to functorial quantum sl(k) knot invariants. (jt. with V. Mazorchuk), J. of Math, 131 (2009)
• Categorification of (induced) cell modules and the rough structure of generalized Verma modules (jt. with V. Mazorchuk) Adv. Math. 219, (2008) no 4, 1363-1426
• Categorification of Wedderburn's basis for S_n (jt. with V. Mazorchuk), Arch.Math 91 (2008) no.1, 1-11
• Parabolic category O, perverse Sheaves on Grassmannians, Springer Fibres and Khovanov cohomology, Compositio Math. 145 (2009), 954-992
• Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions (jt. with K. Brown, I. Gordon) J. Algebra 319 (2008) no. 3, 1007-1034
• Quadratic duals, Koszul dual functors, and applications (jt. with V. Mazorchuk, S. Ovsienko) Trans. Amer. Math Soc. 361 (2009), no. 3, 1129-1172
• On functors associated to a simple root (with V. Mazorchuk) ), J. Algebra 314 (2007), no. 1, 97--128
• Projective-injective modules, Serre functors and symmetric algebras (jt. with V. Mazorchuk), J. Reine und Angew. Math. 616 (2008),
• A categorification of integral Specht modules (jt. with M. Khovanov, V. Mazorchuk), Proc. Amer. Math. Soc. 136 (2008), 1163-1169
• A categorification of finite-dimensional irreduciblerepresentations of quantum sl(2) and their tensor products. (jt. with I. Frenkel, M. Khovanov), Selecta Mathematica 12, (2006), 379-431
• Appendix to V. Mazorchuk, S. Ovsienko: A pairing in homology and the category of linear tilting complexes for a quasi-hereditary algebra, J. Math. Kyoto Univ 45, 2005
• Categorification of the Temperley-Lieb algebra, Tangles and cobordisms via projective functors, Duke 126, 2005
• Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module (jt. with V. Mazorchuk), Trans. Amer. Math. Soc. 357 (2005), 2939-2973
• A structure theorem for Harish-Chandra bimodules via coinvariants and Golod rings, Journal of Algebra 282, 2004
• Twisting functors on O (jt. with H. H. Andersen), Representation Theory 7 (2003),681-699
• Composition factors of quotients of the universal enveloping algebra by primitive ideals, Journal of the LMS 70, 2004
• Category O: Quivers and endomorphism rings of projectives, Representation Theory 7 (2003), 322-345
• Category O: Gradings and Translation Functors, Journal of Algebra 268, 2003
• Homomorphisms and Extensions of Principal Series Representations, Journal of Lie Theory 13, 2003