I am an Associate Professor (pre-tenure) in the Department of Mathematical Sciences at Carnegie Mellon University. Between September 2021 and July 2022, I will be on leave to be a Gastprofessor at Freie Universität Berlin. 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.

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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.