In Preparation

Higher representations and arc algebras

with Raphaël Rouquier

Submitted Preprints

On the decategorification of Ozsváth and Szabó's bordered theory for knot Floer homology

arXiv

The Khovanov homology of 3-strand pretzels, revisited

arXiv

Published Papers

Khovanov-Seidel quiver algebras and Ozsváth-Szabó's bordered theory


Journal of Algebra 488 (2017), Pg. 110-144

arXiv

On bordered theories for Khovanov homology


Algebraic and Geometric Topology 17 (2017), Issue 3, Pg. 1557-1674

arXiv

The rational Khovanov homology of 3-strand pretzel links


Journal of Knot Theory and its Ramifications 23 (2014), Issue 8, 1450040

arXiv

A sign assigment in totally twisted Khovanov homology


Algebraic and Geometric Topology 14 (2014), Issue 2, Pg. 753-767

arXiv

The critical group of a line graph

with Andrew Berget, Molly Maxwell, Aaron Potechin, and Victor Reiner


Annals of Combinatorics 16 (2012), Issue 3, Pg. 449-488

arXiv

Theses and Expository Work

Constructions and computations in Khovanov homology


Ph.D. thesis, Princeton University (2015). Advisor: Zoltán Szabó

ProQuest

Heegaard Floer Homology and Knots


Part III Essay, Cambridge University (2010). Advisor: Jacob Rasmussen

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Two approaches to the embedding of Riemann surfaces in projective space


Undergraduate thesis, University of Notre Dame (2009). Advisor: Jeffrey Diller

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