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)


Hypertoric Category O

    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)


Framed torsion-free sheaves on P^2, Hilbert schemes, and representations of infinite dimensional Lie algebras     

    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)