Tamas KalmanPrincipal Investigator
Low-dimensional Topology, Combinatorics
Tokyo Institute of Technology, Department of Mathematics, Japan, Associate Professor
Tamas Kalman demonstrated that the space of smooth knots has different topology than its subspace of Legendrian knots. He also established the first direct link between Floer theoretical knot invariants and the Homfly polynomial. This leads him to a great extension of the Tutte polynomial, from graphs and matroids to hypergraphs and polymatroids. He also designed an algorithm to compute the volume and h*-vector of the symmetric edge polytope of a graph.