Interests Low dimensional topology, Heegaard Floer homology, mapping class groups, Heegaard splittings and mutation.
I am interested in low dimensional topology and am currently studying the precision of Heegard Floer invariants of three manifolds. Two questions questions that fall in to this area of exploration are
- How do HF invariants behave under mutation?
- Can HF invariants distinguish manifolds that ere indistinguishable to quatum invariants?
