Geometry and Topology

Group Members

Research Interests
Dr. Michael Brandenbursky

Knot Theory: Vassiliev invariants, Heegaard Floer and Khovanov homologies.

Symplectic geometry and low-dimensional topology.

Braid groups, mapping class groups and transformation groups of smooth manifolds: quasi- morphisms, norms.

Geometric group theory: quasi-isometric embeddings of finitely generated groups, bi-invariant word metrics.

Prof. Michael Levin

Topology, dimension theory, geometric topology, continuum theory

Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities