I am an Associate Professor in the Department of Mathematical Sciences at Carnegie Mellon University. Before joining CMU I was an H.C. Wang Assistant Professor at Cornell University and a Ph.D. student at TU Berlin. During the Fall semester 2017 I was at MSRI in Berkeley. During the 2021/22 academic year I was visiting Freie Universität Berlin.

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I am running a Research Experience for Undergraduates on Geometry and Topology in a Discrete Setting during the summer of 2023. Apply via MathPrograms.

My research develops new geometric and topological methods to solve problems that are amenable to such geometric and topological approaches. Such problems are often geometric themselves: examples include point sets in Euclidean space and how their convex hulls intersect, reconstruction of metric spaces from sufficiently dense samples, inscribing geometric shapes into curves, or studying convex polytopes. However, I also apply topological methods further afield to problems such as chromatic numbers of hypergraphs, fair division of goods and the existence of Nash equilibria, or intersections of intervals in the real line.