Ulrike Tillmann

Cobordisms have played an important role in the classification of manifolds through work of Rene Thom from the 1950s. In a different way, they are fundamental to the mathematical formulation for topological quantum field theory of Atiyah, Segal and...

Homology stability for families of discrete groups such as the symmetric groups, linear groups, braid groups and mapping class groups are well-known. Extensions to diffeomorphism groups of manifolds more generally have only been proved recently in a...