Research

Completed Papers

• A new presentation of the osp(1|2)-polynomial link invariant and categorification,

• Derived Superequivalences for Spin Symmetric Groups and Odd sl2-categorifications , with Aaron Lauda and Laurent Vera 

• Super rewriting theory and nondegeneracy of odd categorified sl(2), with Aaron Lauda and Benjamin Dupont , to be published in Quantum Topology

• Synergy theory for murine Harderian gland tumours after irradiation by mixtures of high-energy ionized atomic nuclei, with Rainer Sachs, Edward Greg Huang, Yimin Lin, Claire Yunzhi, Radiation and Environmental Biophysics 58, 151–166 (2019). 

Research interests 

• Categorified quantum groups

• Higher representation theory of categorified quantum groups and its applications to link homology and connected topics in low dimensional topology https://sites.google.com/view/simons-newstructures/home?authuser=0

• Applications of categorified quantum groups to representation theory

• Odd analogues of the above interests

• Applications of rewriting theory to the above interests

• Representation theory

• TQFTs and Topological quantum computation