RESEARCH

Calculus of Variations, Geometric Measure Theory, Optimal Transport, Carnot Groups (especially Heisenberg groups), Sub-Riemmanian Geometry (especially Grushin spaces).

Heat and entropy flows in Carnot groups, 2018, with L. Ambrosio, preprint (CvGmt, arXiv)

Symmetric double bubble in the Grushin plane, 2017, with V. Franceschi, preprint (CvGmt, arXiv)

On the monotonicity of perimeter of convex bodies, in "Journal of Convex Analysis", Vol. 25(1), 2018, to appear (CvGmt, arXiv, eprint)

*Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries*, 2016, with R. Monti, in "Journal de Mathématiques Pures et Appliquées", Vol. 108, no. 3, 2017, pp. 372-398 (CvGmt, arXiv, eprint)

*Sobolev subspaces of nowhere bounded functions*, with P. D. Lamberti, in "Real Analysis Exchange", Vol. 41(2), 2016, pp. 367–376 (arXiv, eprint)

Symmetric double bubble in the Grushin plane, 2017, with V. Franceschi, preprint (CvGmt, arXiv)

On the monotonicity of perimeter of convex bodies, in "Journal of Convex Analysis", Vol. 25(1), 2018, to appear (CvGmt, arXiv, eprint)

Vector Fields, Surfaces and Perimeters in Singular Geometries, Ferrara, February 27 - 28

__Talk__: *Heat and entropy flows in Carnot groups *(slides)

XXVIII Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, February 12 - 16, 2018

Sub-Riemannian Geometry Harmonic Analysis, PDE and Applications, Bologna, January 24 - 27, 2018

Recent Advances in PDEs and the Calculus of Variations, Venice, July 3 - 6, 2017

CIME-CIRM Course on New Trends on Analysis and Geometry in Metric Spaces (10th School), Levico Terme, June 26 - 30, 2017

XXVII Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, February 6 - 10, 2017

__Short talk:__ *Improved Lipschitz approximation on \(H\)-perimeter minimizing boundaries *(slides)

Workshop on Calculus of Variations and Nonlinear PDEs*with a special tribute to Francesco Leonetti on the occasion of his 60th birthday, *Università degli Studi del Sannio, Benevento, November 16 - 18, 2016

__Contribute talk__: *On the monotonicity of perimeter of convex bodies *(slides)

Optimal Transport and Applications, Scuola Normale Superiore, Pisa, November 7 - 11, 2016

Mini-courses in Mathematical Analysis, Università di Padova, June 27 - July 1, 2016

Singular Phenomena and Singular Geometries, Università di Pisa, June 20 - 23, 2016

Two-day Meeting on linear and nonlinear PDE's*in honor of the 65th birthday of Cristian Gutierrez*, Accademia delle Scienze, Bologna, June 9 - 10, 2016

XXVI Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, January 18 - 22, 2016

XXVIII Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, February 12 - 16, 2018

Sub-Riemannian Geometry Harmonic Analysis, PDE and Applications, Bologna, January 24 - 27, 2018

Recent Advances in PDEs and the Calculus of Variations, Venice, July 3 - 6, 2017

CIME-CIRM Course on New Trends on Analysis and Geometry in Metric Spaces (10th School), Levico Terme, June 26 - 30, 2017

XXVII Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, February 6 - 10, 2017

Workshop on Calculus of Variations and Nonlinear PDEs

Optimal Transport and Applications, Scuola Normale Superiore, Pisa, November 7 - 11, 2016

Mini-courses in Mathematical Analysis, Università di Padova, June 27 - July 1, 2016

Singular Phenomena and Singular Geometries, Università di Pisa, June 20 - 23, 2016

Two-day Meeting on linear and nonlinear PDE's

XXVI Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, January 18 - 22, 2016

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