Papers and Preprints
Some of my collaborators past and present:
Tom Braden (University of Massachusetts)
Ben Brubaker (University of Minnesota)
Dan Bump (Stanford)
Sabin Cautis (Columbia University)
Erik Carlsson (Simons Center, Stonybrook)
Zsuzsanna Dancso (ANU)
Eli Grigsby (Boston College)
Anthony Henderson (Sydney University)
Joel Kamnitzer (University of Toronto)
Aaron Lauda (University of Southern California)
Nick Proudfoot (University of Oregon)
Hoel Queffelec (Montpellier)
Alistair Savage (University of Ottawa)
Josh Sussan (CUNY)
Ben Webster (University of Virginia)
Stephan Wehrli (Syracuse University)
The elliptic Hall algebra and the deformed Heisenberg category
with Sabin Cautis, Aaron Lauda, Peter Samuelson, and Josh Sussan
preprint (2016)
Shifted symmetric functions, free probability, and the center of Khovanov’s Heisenberg category
with Henry Kvinge and Stuart Mitchell
preprint (2016)
Annular Khovanov-Lee homology, braids, and cobordisms
with Eli Grigsby and Stephan Wehrli
preprint (2016)
Garside structures on ADE braid groups from 2-representation theory
with Hoel Queffelec
preprint (2016)
Jack and Macdonald inner products and Heisenberg categorification
with Daniele Rosso and Alistair Savage
preprint (2016)
On the 2-linearity of the free group
in Categorification in Geometry, Topology, and Physics,
to appear in conference proceedings (2016)
Annular Khovanov homology and knotted Schur-Weyl representations
with Eli Grigsby and Stephan Wehrli
preprint (2015)
Quantizations of conical symplectic resolutions II: category O and symplectic duality
with Tom Braden, Nick Proudfoot, and Ben Webster,
to appear in Asterisque, (2016)
Computing annular Khovanov homology
with Hilary Hunt, Hannah Keese, and Scott Morrison
preprint (2015)
W-algebras from Heisenberg categories
with Sabin Cautis, Aaron Lauda, and Josh Sussan
Journal of the Institute of Mathematics of Jussieu (2016)
A Littlewood-Richardson rule for the Macdonald inner product and bimodules over wreath products
with Erik Carlsson
Journal of Algebra (2016)
Whittaker functions and Demazure operators
with Ben Brubaker and Dan Bump
Journal of Number Theory (2015)
Odd Khovanov homology for hyperplane arrangements
with Zsuzsanna Dancso
Journal of Algebra (2015)
Diagram automorphisms of quiver varieties
with Anthony Henderson
Advances in Math. (2014)
Vertex operators and 2-representations of quantum affine algebras
with Sabin Cautis
preprint (2014)
Braid group actions via categorified Heisenberg complexes
with Sabin Cautis and Josh Sussan
Compositio Math. (2014)
Hecke algebras, finite general linear groups, and Heisenberg categorification
with Alistair Savage
Quantum Topology (2013)
Coherent sheaves on quiver varieties and categorification
with Sabin Cautis and Joel Kamnitzer
Math. Annalen (2013)
Derived Equivalences for Cotangent Bundles of Grassmannians via Categorical sl(2) actions
with Sabin Cautis and Joel Kamnitzer
Journal fur die reine und angewandte Mathematik (2013)
Loop realizations of quantum affine algebras
with Sabin Cautis
Journal of Mathematical Physics (2012)
A survey of Heisenberg categorification via graphical calculus
with Alistair Savage
Bull. Inst. Math. Acad. Sin. (2012)
Hilbert Schemes and Heisenberg Categorification
with Sabin Cautis
Duke Math. Journal (2012)
with Tom Braden, Nick Proudfoot and Ben Webster
Advances in Math. (2012)
Localization Algebras and Deformations of Koszul Algebras
with Tom Braden, Chris Phan, Nick Proudfoot and Ben Webster
Selecta Math. (2011)
Advances in Math. (2011)
Coherent Sheaves and Categorical sl(2) actions
with Sabin Cautis and Joel Kamnitzer
Duke Math. Journal (2010)
Categorical Geometric Skew Howe Duality
with Sabin Cautis and Joel Kamnitzer
Inventiones Math. (2010)
Gale Duality and Koszul Duality
with Tom Braden, Nick Proudfoot and Ben Webster
Advances in Math. (2010)
Vertex Operators and the Geometry of Moduli Spaces of Torsion-Free sheaves
with Alistair Savage
Selecta Math. (2010)
Moduli Spaces of Sheaves on Surfaces in Geometric Representation Theory
(2007) (Yale University Thesis)