Papers

The solvable monodromy extension property and varieties of log general type (arXiv)
Clay Math. Proc.: A Celebration of Algebraic Geometry (to appear)

Webs and quantum skew Howe duality (arXiv)
Math. Annalen (accepted)

Braid group actions via categorified Heisenberg complexes (arXiv)
Compositio Math. (to appear)

Clasp technology to knot homology via the affine Grassmannian (arXiv)

Derived Reid's recipe for abelian subgroups of SL3(C) (arXiv)

Vertex operators and 2-representations of quantum affine algebras (arXiv)

Loop realizations of quantum affine algebras (arXiv)
J. Math. Phys. 53 (2012), no. 12, 18pp.

Implicit structure in 2-representations of quantum groups (arXiv)

Flops and about: a guide (arXiv)
EMS Congress Reports (2011), no. 8, 61--101.

Coherent sheaves on quiver varieties and categorification (arXiv)
Math. Annalen (to appear)

Heisenberg categorification and Hilbert schemes (arXiv)
Duke Math Journal 161 (2012) no. 13, 2469--2547.

Braiding via geometric Lie algebra actions (arXiv)
Compositio Math. 148 (2012) no. 2, 464--506.

Equivalences and stratified flops (arXiv)
Compositio Math. 148 (2012) no. 1, 185--209.

Derived equivalences for cotangent bundles of Grassmannians via categorical sl(2) actions (arXiv)
J. Reine Angew. Math. 675 (2013), 53--99.

Categorical geometric skew Howe duality (arXiv)
Inventiones Math. 180 (2010) no. 1, 111--159.

Coherent sheaves and categorical sl(2) actions (arXiv)
Duke Math Journal 154 (2010) no. 1, 135--179.

A derived approach to geometric McKay correspondence in dimension three. (arXiv)
J. Reine Angew. Math. 636 (2009), 193--236.

Knot homology via derived categories of coherent sheaves II, sl(m) case (arXiv)
Inventiones Math. 174 (2008) no. 1, 165--232.

Knot homology via derived categories of coherent sheaves I, sl(2) case (arXiv)
Duke Math Journal 142 (2008), no. 3, 511--588.

The Abelian Monodromy Extension property for families of curves (arXiv)
Math. Annalen 344 (2009) no. 3, 717--747.

On Tutte's chromatic invariant PDF
Trans. Amer. Math. Soc. 362 (2010), 509--535.

Periodicity, morphisms, and matrices PDF
Theor. Comput. Sci. 1-3 (2003); 107--121.

The matrix of chromatic joins and the Temperley-Lieb algebra PDF
J. Combin. Theory (Ser. B) 89 (2003); 109--155.