I am an assistant professor of mathematics at the Vienna University of Technology. My research interests lie at the interface of combinatorics and probability theory. I combine stochastic process methods with combinatorial constructions to study models of random discrete structures, including various kinds of trees, graphs, maps, partitions, and permutations. Here are some keywords that characterize my activities:
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Limits of random structures (Gromov-Hausdorff-Prokhorov convergence, local topologies, permuton and graphon convergence, ...)
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Branching processes and their application to random maps and graphs
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Enumerative Combinatorics
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Gibbs partition models
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Phase transitions and condensation phenomena in weighted random graphs
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Boltzmann sampling, combinatorial species, random isomorphism classes of structures
I enjoy writing open source software (
github project page) that simulates random discrete structures. I have taught courses on interesting topics like Hopf algebras (with
lecture notes) and Random Trees. Here is a
video of me giving an online talk on one of my papers.