Giorgio Stefani
  • Home
  • Research
  • Curriculum
  • Math Notes
  • What is Math?
  • Home
  • Research
  • Curriculum
  • Math Notes
  • What is Math?
RESEARCH

research interests

I work in the broad area of Calculus of Variations, with a particular interest in Geometric Measure Theory and Optimal Transport in sub-Riemannian Spaces such as Carnot Groups (especially the Heisenberg groups) and the Grushin plane.

publications (CvGmt, arxiv, RESEARCHGATE)

A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up, 2018, with G. E. Comi, preprint (CvGmt, arXiv)

A maximal function characterization of absolutely continuous measures and Sobolev functions, 2018, with E. Bruè and Q.-H. Nguyen, preprint (CvGmt, arXiv)

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)

academic works

Master Degree thesis, Intrinsic Lipschitz approximation of \(H\)-perimeter minimizing boundaries, 2016, Advisor: R. Monti, Coadvisor: L. Ambrosio (pdf)

Bachelor Degree thesis, Equazioni differenziali ordinarie - Dal Teorema di Cauchy–Lipschitz alle teorie di DiPerna–Lions e Crippa–De Lellis, 2014, Advisor: R. Monti (pdf)

Talks

Archimedes, a dinner and a theorem - A divertissement on the monotonicity of perimeter (blackboard), Pisa, April 24, 2018

Heat and entropy flows in Carnot groups (slides), Ferrara, February 27, 2018

​Improved Lipschitz approximation on \(H\)-perimeter minimizing boundaries (
slides), Levico Terme, February 6, 2017

​
On the monotonicity of perimeter of convex bodies (slides), Benevento, November 17, 2016

Conferences, Meetings & workshops

Optimal Transportation and Applications, Pisa, November 12 - 16, 2018

A Sub-Riemannian Day in Padova
, Padova, September 14, 2018

Vector Fields, Surfaces and Perimeters in Singular Geometries
, Ferrara, February 27 - 28, 2018
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
Powered by Create your own unique website with customizable templates.