01
Diagram algebras and low-dimensional topology
Research on the algebraic structures encoded by knots, surfaces, crossingless connections, and their diagrammatic pairings.
Research
Topology, algebra, and the diagrams between them.
My work studies how topological information is encoded by diagram algebras, Gram forms, and combinatorial structures, with particular interest in Temperley–Lieb theory and skein modules.
02
Gram forms on surfaces
Understanding the factorization and representation-theoretic meaning of Gram determinants arising from crossingless connections on nontrivial surfaces.