Interests:
Low dimensional topology, geometric topology, combinatorial group theory.
Current problems
Characterization of simple closed curves in terms of the
Goldman Turaev Lie bialgebra. More generally, counting minimal
intersection and self intersection numbers by means of this Lie
bialgebra.
Configurations of curves on surfaces which have minimal intersection and self-intersection.
A presentation of the Goldman-Turaev Lie bialgebra of curves on closed surfaces.
Publications and Preprints
(with Fabiana Krongold) An algebraic characterization of simple closed curves on surfaces with boundary in Math Archives
Programs
to test bracket and cobracket conjectures (these are probably quite
useless without explanations, but I'll be happy to explain if you email
me about them.)