Merlin Incerti-Medici

I'm a PostDoc at Universität Wien. I did my PhD at Universität Zürich under the supervision of Viktor Schroeder. My mathematical interests, broadly speaking, include asymptotic geometry, geometric group theory, and non-positively curved manifolds.

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Some central themes of my current and recent work are the geometry of codimension one subgroups, isometry groups of CAT(0) cube complexes, and properties of (sublinearly) Morse boundaries. The first topic concerns itself with spaces that contain quasi-convex, codimension one subgroups and asks about rigidity phenomena of the ambient space relative to these subgroups. The second project is about a systematic understanding of the isometry groups of certain CAT(0) cube complexes as totally disconnected, locally compact groups. The last subject is about understanding boundaries in a non-hyperbolic setting and is specifically concerned with questions of invariance and asymptotic features of largest acylindrical actions.

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CV