Assistant Professor, University of Vienna

Email: daniele.semola AT univie.ac.at

Home-page: https://danielesemola.weebly.com

orcid id: 0000-0001-6908-4212

Available papers (27):

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• D. Semola (Indagat. Math.)
  The large scale structure of complete $4$-manifolds with nonnegative Ricci curvature and Euclidean volume growth (2025)
• E. Bruè - A. Naber - D. Semola (Ann. of Math.)
  Fundamental Groups and the Milnor Conjecture (2025)
• G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Annales Scientifiques de l'École Normale Supérieure)
  Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds (2025)
• G. Antonelli - M. Pozzetta - D. Semola (Comm. Pure Appl. Math.)
  Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature (2025)
• E. Bruè - A. Naber - D. Semola (Preprint)
  Compact Manifolds with Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature (2025)
• N. Gigli - A. Mondino - D. Semola (Proc. Amer. Math. Soc.)
  On the notion of Laplacian bounds on $\mathrm{RCD}$ spaces and applications (2024)
• E. Bruè - A. Pigati - D. Semola (Preprint)
  Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below (2024)
• G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Mathematische Annalen)
  Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds (2024)
• E. Bruè - A. Naber - D. Semola (Geometry & Topology)
  Stability of Tori under Lower Sectional Curvature (2024)
• F. Cavalletti - A. Mondino - D. Semola (Analysis & PDE)
  Quantitative Obata's Theorem (2023)
• E. Bruè - A. Naber - D. Semola (Preprint)
  Six dimensional counterexample to the Milnor Conjecture (2023)
• E. Bruè - A. Mondino - D. Semola (Geom. Funct. Anal.)
  The metric measure boundary of spaces with Ricci curvature bounded below (2023)
• F. Fiorani - A. Mondino - D. Semola (Accepted Paper: Commentarii Mathematici Helvetici)
  Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces (2023)
• A. Mondino - D. Semola (Accepted Paper: American Journal of Mathematics)
  Lipschitz continuity and Bochner-Eells-Sampson inequality for harmonic maps from $\mathrm{RCD}(K,N)$ spaces to $\mathrm{CAT}(0)$ spaces (2022)
• E. Bruè - E. Pasqualetto - D. Semola (Annales Fennici Mathematici)
  Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps (2021)
• E. Bruè - E. Pasqualetto - D. Semola (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
  Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces (2021)
• N. De Ponti - A. Mondino - D. Semola (Journal of Functional Analysis)
  The equality case in Cheeger's and Buser's inequalities on $ \mathsf{RCD}$ spaces (2021)
• E. Bruè - Q. Deng - D. Semola (Nonlinear Analysis)
  Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces (2021)
• A. Mondino - D. Semola (Accepted Paper: Memoirs of the American Mathematical Society)
  Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds (2021)
• E. Bruè - D. Semola (Comm. Pure and Applied Math.)
  Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows (2020)
• D. Semola (Ph.D. Thesis)
  Recent developments about Geometric Analysis on $RCD(K,N)$ spaces (2020)
• E. Bruè - D. Semola (J. Reine Angew. Math.)
  Regularity of Lagrangian flows over $RCD^*(K,N)$ spaces (2020)
• E. Bruè - A. Naber - D. Semola (Inventiones mathematicae)
  Boundary regularity and stability for spaces with Ricci bounded below (2020)
• L. Ambrosio - E. Bruè - D. Semola (Geom. Funct. Anal.)
  Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces (2019)
• E. Bruè - E. Pasqualetto - D. Semola (Journal of the European Mathematical Society (JEMS))
  Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces (2019)
• G. Antonelli - E. Bruè - D. Semola (Anal. Geom. Metr. Spaces)
  Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces (2019)
• A. Mondino - D. Semola (Journal de Mathématiques Pures et Appliquées)
  Polya-Szego inequality and Dirichlet $p$-spectral gap for non-smooth spaces with Ricci curvature bounded below (2018)

Seminars:

• 1 jun 2021: Boundary regularity and stability under lower Ricci curvature bounds
• 4 dec 2019: A quantitative Obata theorem via localization

Speaker:

• 13 oct 2025 - 17 oct 2025: Workshop "Optimal transport and metric geometry across structures"
• 21 may 2024 - 24 may 2024: Workshop: Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension
• 20 sep 2023 - 22 sep 2023: Guess what? A Pisan workshop in Geometric Analysis
• 1 apr 2019 - 5 apr 2019: Optimal Transport and Geometric Analysis

Organizer:

• 11 jun 2018 - 11 jun 2018: Non-smooth Geometry and Optimal Transport