Publications and Preprints

• Margulis lemma on RCD(K,N) spaces (with Jaime Santos-Rodríguez, Sergio Zamora, and Xinrui Zhao), Analysis & PDE, [arxiv]

• Sharp bounds and rigidity for volumes of boundaries of Alexandrov spaces (with Vitali Kapovitch), preprint, [arxiv]

• Unique continuation problem on RCD Spaces. I (with Xinrui Zhao), Geom. Dedicata, [arxiv]

• Failure of strong unique continuation for harmonic functions on RCD spaces (with Xinrui Zhao), Journal für die reine und angewandte Mathematik (Crelle's Journal), [arxiv]

• Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces (with Elia Brué and Daniele Semola), Nonlinear Analysis, [arxiv]

• Hölder continuity of tangent cones in RCD(K,N) spaces and applications to non-branching, Geometry & Topology, [arxiv]

• On the rate of convergence of random polarizations on the sphere (with Almut Burchard), preprint, [arxiv]

 Some recorded talks

• Maximal boundary rigidity for Alexandrov spaces, [link]

• Regularity of Lagrangian flows on RCD(K,N) spaces and applications, [link] 

• Hölder continuity of tangent cones in RCD(K,N) spaces and applications to non-branching, [link] 

• On the rate of convergence of random two-point symmetrizations, [link]