Curriculum Vitae

Positions

• Northeastern University — Assistant Professor of Mathematics (Sept. 2019 – present)
• University of Southern California — Assistant Professor / Busemann Assistant Professor (non-tenure-track) (July 2016 – July 2019). Mentor: Aaron Lauda
• Indiana University, Bloomington — Zorn Post-Doctoral Fellow (Aug. 2013 – May 2016). Mentor: Vladimir Turaev

Education

• University of Virginia — Ph.D. in Mathematics (Aug. 2013). Advisor: Vyacheslav Krushkal
• University of Notre Dame — B.S. in Physics and Honors Mathematics (May 2006)

Awards & grants

• NSF grant DMS 1702274, “Categorical Diagonalization, Representation Theory, and Link Homology” (2017–2020)
• UVA Graduate School of Arts & Sciences Dissertation Year Fellowship (2012–2013)
• Government Assistance in Areas of National Need (GAANN) Fellowship (2007–2012)

Research interests

Low-dimensional topology, quantum topology, categorification, representation theory.

Selected recent invited talks

• Categorification of the Turaev–Viro TQFT
  “Modern tools in low-dimensional topology”, ICTP, Trieste June 2025
• Link homology and how to compute it (4-part lecture series)
  Simons Semester “Knots, Homologies, and Physics”, Warsaw June 2024
• DG trace and center of Hecke categories (minicourse)
  “Geometric and categorical representation theory”, Besse, France Oct. 2023
• Khovanov homology and handleslides
  Columbia University SGGT Seminar; Dartmouth Topology Seminar; MIT Topology Seminar 2022–2023
• The annular Bar–Natan category and handleslides
  Harvard Gauge Theory & Topology Seminar; AMS Special Session, Fresno 2023
• A Kirby color for Khovanov homology
  Stanford Topology Seminar; Georgia Topology Conference May 2022

A complete list of talks is in the full CV.