In preparation

• SL(4) foams with seams Specializing Robert and Wagner's GL(n) foam evaluation to SL(4) in the spirit of Khovanov's SL(2) and SL(3). Studying the hexagon web, introducing a six valent vertex web and showing that foams between those are idempotent.
  Joint with Mikhail Khovanov, Haihan Wu, and Melissa Zhang
  

Publications

• Action of the Witt algebra on categorified quantum groups (arXiv:2507.01877) Construct an action of the positive Witt algebra on the categorified simply-laced quantum groups. This action recovers the action of Qi, Robert, Sussan, and Wagner on foams. This action is compatible with the trace decategorification.
  Joint with Aaron Lauda