| Citation | Ulrike Tillmann is a world leader in the study of the moduli space of algebraic curves - an object that is central to algebraic geometry, topology and string theory. Tillmann's highly original contribution was to open it up to the methods of stable homotopy theory thus providing new tools for attacking the structure of this space and also spaces related to graphs and free groups. Her homotopic refinement of the conjectures of Mumford on the cohomology of the moduli space was first proved by Madsen adn Weiss, with a simpler and more general version together with Tillmann and Galatius. |