Daniele Semola

发表

Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds

Marco Pozzetta, Gioacchino Antonelli, Enrico Pasqualetto, 2022, Mathematische Annalen.

Sharp isoperimetric comparison on non collapsed spaces with lower Ricci bounds

Marco Pozzetta, Gioacchino Antonelli, Enrico Pasqualetto, 2022, 2201.04916.

The equality case in Cheeger's and Buser's inequalities on RCD spaces

A. Mondino, Daniele Semola, Nicolò De Ponti, 2020, Journal of Functional Analysis.

The metric measure boundary of spaces with Ricci curvature bounded below

Andrea Mondino, Daniele Semola, Elia Brué, 2022, Geometric and Functional Analysis.

Improved regularity estimates for Lagrangian flows on $\text{RCD}(K,N)$ spaces

Qintao Deng, Daniele Semola, Elia Brué, 2021, 2104.03744.

Rigidity of the 1-Bakry–Émery Inequality and Sets of Finite Perimeter in RCD Spaces

L. Ambrosio, Daniele Semola, Elia Brué, 2018, Geometric and Functional Analysis.

Lectures on Optimal Transport

L. Ambrosio, Daniele Semola, Elia Brué, 2021, UNITEXT.

Lipschitz continuity and Bochner-Eells-Sampson inequality for harmonic maps from $\mathrm{RCD}(K,N)$ spaces to $\mathrm{CAT}(0)$ spaces

Daniele Semola, A. Mondino, 2022, 2202.01590.

Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces

Daniele Semola, A. Mondino, Francesco Fiorani, 2023, 2307.06205.

Fundamental Groups and the Milnor Conjecture

A. Naber, Daniele Semola, Elia Brué, 2023, 2303.15347.

Rectifiability of RCD(K,N) spaces via δ-splitting maps

Enrico Pasqualetto, Daniele Semola, Elia Brué, 2021, Annales Fennici Mathematici.

Boundary regularity and stability for spaces with Ricci bounded below

A. Naber, Daniele Semola, Elia Brué, 2020, Inventiones mathematicae.

Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows

Daniele Semola, Elia Brué, 2018, Communications on Pure and Applied Mathematics.

Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below

A. Mondino, Daniele Semola, Andrea Mondino, 2018, Journal de Mathématiques Pures et Appliquées.

Stability of Tori under Lower Sectional Curvature

A. Naber, Daniele Semola, Elia Brué, 2023, 2307.03824.

Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces

Enrico Pasqualetto, Daniele Semola, Elia Brue, 2021, 2109.12585.

Quantitative Obata’s theorem

A. Mondino, F. Cavalletti, Daniele Semola, 2019, Analysis & PDE.

On the notion of Laplacian bounds on $\mathrm{RCD}$ spaces and applications

Daniele Semola, A. Mondino, N. Gigli, 2023, 2302.05474.

Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps

Enrico Pasqualetto, Daniele Semola, Elia Brué, 2020, 2001.07911.

The equality case in Cheeger's and Buser's inequalities on $\mathsf{RCD}$ spaces

Nicolò De Ponti, A. Mondino, Daniele Semola, 2020 .

Regularity of Lagrangian flows over RCD*(K, N) spaces

Daniele Semola, Elia Brué, 2018, Journal für die reine und angewandte Mathematik (Crelles Journal).

Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces

Qintao Deng, Daniele Semola, Elia Brué, 2022, Nonlinear Analysis.

Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds

A. Mondino, Daniele Semola, 2021, 2107.12344.

Volume Bounds for the Quantitative Singular Strata of Non Collapsed RCD Metric Measure Spaces

Gioacchino Antonelli, Daniele Semola, Elia Brué, 2019, Analysis and Geometry in Metric Spaces.

Course Proposal

Daniele Semola, 2015 .

J ul 2 01 9 Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces

Gioacchino Antonelli, Daniele Semola, Elia Brué, 2019 .

FA ] 1 5 O ct 2 01 9 Quantitative Obata ’ s Theorem

A. Mondino, F. Cavalletti, Daniele Semola, 2019 .