Alexander did his undergraduate at Utrecht University in the Netherlands. He received a PhD from Stanford University for work on the topological groups of diffeomorphisms of high-dimensional manifolds, under the supervision of Søren Galatius. He then did a postdoc at Copenhagen University and held a Benjamin Pierce fellowship at Harvard University, before coming to UTSC. In general, his work is on automorphism groups of various objects from geometry and algebra, in particular diffeomorphism groups and general linear groups, which he studies using the methods of algebraic topology.
Algebraic and geometric topology, homotopy theory, manifolds, algebraic K-theory.
Utrecht University (BSc and MSc), Stanford University (PhD).