Daniel Studenmund
Assistant Professor
Department of Mathematics and Statistics
Background
Daniel Studenmund's research addresses questions arising at the intersection of geometric group theory and the study of discrete subgroups of Lie groups.
He is particularly interested in invariants associated to the collection of finite-index subgroups of a given group G. One example is the abstract commensurator Comm(G), the group of all isomorphisms between finite-index subgroups of G, modulo equivalence. Other examples are growth rates of various functions associated with the collection of finite-index subgroups, which can be thought of as helping to 鈥渜uantify鈥 residual finiteness of G. He also studies other invariants of groups, such as superrigidity and cohomology of arithmetic groups, using algebraic and geometric methods.
Education
- PhD, MS, The University of Chicago
- BA, Haverford College