Writing:
A braid group action on an A-infinity category for zigzag algebras, with J. Sussan and Y. Qi, for I. Frenkel 70th
An incompatibility between spectrification and the Szabo spectral sequence with P. Paul and N. Seguin
The Hall Algebras of Surfaces II in preparation.
The Hall Algebras of Annuli with P. Samuelson accepted to MRL.
Preprojective Analogue of the Cone Construction with J. Sussan accepted to Homol. Homotopy Appl.
Gradation of Algebras of Curves by Winding Number with M. I. Bakira New York J. Math. 24 (2018) 661–688.
The Hall Algebras of Surfaces I with P. Samuelson J. Inst. Math. Jussieu (link).
Formal contact categories accepted to AGT.
Steenrod Structures on Categorified Quantum Groups with A. Beliakova Fund. Math. 241, 2018, 179-207.
Categorical Representations of the Modular Group Forum Math. 28, no. 1, 2016, 89-99.
An Exceptional Collection for Khovanov Homology with M. Hogancamp. Algebr. Geom. Topol. 15, no. 5, 2015, 2659-2707.
Deformations of nilHecke Algebras. Special Issue of A. Math. Viet. 39, no. 4, 2014, 515-527.
Handle Slides and Localizations of Categories with V. Krushkal. Int. Math. Res. Not. 2012; doi: 10.1093/imrn/rns108
SO(3) Homology of Graphs and Links with V. Krushkal and M. Hogancamp. Algebr. Geom. Topol. 11, no. 4, 2011, 1861-2235.
Categorification of the Jones-Wenzl Projectors with V. Krushkal. Quantum Topology 3, no. 2, 2012, 139-180.
Topological Field Theory and Harrison Homology Letters in Mathematical Physics; 2012 doi: 10.1007/s11005-012-0597-y.
Graduate students:
2024 Matthew Barber and Nick Cecil
2023 Pravakar Paul, Hoang An (Andy) Nguyen, Nick Cecil, Matthew Barber
2022 Pravakar Paul, Hoang An (Andy) Nguyen
2021 Mohamed Imad Bakhira, Pravakar Paul, Hoang An (Andy) Nguyen, Nicholas Seguin.
2020 Mitchell Messmore, Mohamed Imad Bakhira, Pravakar Paul (What?!)
2019 Rebeccah MacKinnon, Mitchell Messmore, Mohamed Imad Bakhira, Pravakar Paul
2018 Rebeccah MacKinnon, Mitchell Messmore, Mohamed Imad Bakhira
Miscellanea:
Slides: from Montreal Summer 2017
Hall-Fukaya Seminar Spring 2016
Math 7400: Topology of manifolds (syllabus) Fall 2016
Slides: Seattle Formal contact categories 2016
Advances in Quantum and Low-dimensional Topology (link) Spring 2016
Math 7400: Topology of manifolds (syllabus) Fall 2014
Topics in Zurich: A-infinity, Derived TFT (notes) 2012
Slides: from Knots in Washington December 2010
UVa Topics: course (syllabus) Fall 2010