cvgmt: Daniele Semola

Calculus of Variations and Geometric Measure Theory

Daniele Semola

[semola]

Post Doc., FIM-ETH Zürich

Email: daniele.semola AT math.ethz.ch

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

orcid id: 0000-0001-6908-4212

Available papers (25):

E. Bruè - A. Pigati - D. Semola (Preprint)
Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below (2024)
N. Gigli - A. Mondino - D. Semola (Proc. Amer. Math. Soc.)
On the notion of Laplacian bounds on $\mathrm{RCD}$ spaces and applications (2024)
G. Antonelli - M. Pozzetta - D. Semola (Preprint)
Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature (2024)
G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Mathematische Annalen)
Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds (2024)
F. Fiorani - A. Mondino - D. Semola (Preprint)
Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces (2023)
F. Cavalletti - A. Mondino - D. Semola (Analysis & PDE)
Quantitative Obata's Theorem (2023)
E. Bruè - A. Naber - D. Semola (Accepted Paper: Geometry & Topology)
Stability of Tori under Lower Sectional Curvature (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)
E. Bruè - A. Naber - D. Semola (Accepted Paper: Ann. Math.)
Fundamental Groups and the Milnor Conjecture (2023)
G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Accepted Paper: Annales Scientifiques de l'École Normale Supérieure)
Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds (2022)
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:

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