Address book

Contacts

Staff Structures

GIORGIO STEFANI

Back to the list

Position

Ricercatore a tempo det. art. 24 c. 3 lett. A L. 240/2010

Structure

Dipartimento di Matematica "Tullio Levi-Civita" - DM

Address

VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA

Telephone

0498271623

E-mail

giorgio.stefani@unipd.it

Sep. 2024 - Aug. 2027
Fixed-Term Junior Assistant Professor
University of Padova (Italy), Department of Mathematics “Tullio Levi-Civita”
STARS@UNIPD Starting Grant 2023 NewFrac (PI: G. Stefani)

Feb. 2022 - Aug. 2024
Research Grant Holder
Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (Italy)
ERC Starting Grant 2020 GEOSUB​ (PI: L. Rizzi)

Feb. 2020 - Jan. 2022
Postdoc Assistant
Universität Basel, Basel (Switzerland)
ERC Starting Grant 2015 FLIRT (PI: G. Crippa)

​2020
Ph.D. in Mathematics (cum laude)
Scuola Normale Superiore di Pisa.
Advisor: L. Ambrosio

2016
M. Sc. in Mathematics (110/110 cum laude)
University of Padova.
Advisor: R. Monti; Co-advisor: L. Ambrosio

2014
B. Sc. in Mathematics (110/110 cum laude)
University of Padova.
Advisor: R. Monti

Notices

Fixed-Term Junior Assistant Professor
University of Padova
Department of Mathematics “Tullio Levi-Civita”
Via Trieste, 63 - 35121 Padova (Italy)
Office 4BC9 (4th floor, corridor BC)

Teachings

Publications

Selected Publications:

Non-local BV functions and a denoising model with L1 fidelity, with K. Bessas, Adv. Calc. Var. 18 (2025), no. 1, 189–217

On the N-Cheeger problem for component-wise increasing norms, with G. Saracco, J. Math. Pures Appl. (9) 189 (2024), 103593

An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces, with G. Crippa, Calc. Var. Partial Differential Equations​ 63 (2024), Paper No. 168

The Cheeger problem in abstract measure spaces, with F. Franceschi, A. Pinamonti and G. Saracco, J. London Math. Soc. 109 (2024), no. 1, Paper No. e12840, 55 pp.

Full double Hölder regularity of the pressure in bounded domains, with L. De Rosa and M. Latocca, Int. Math. Res. Not. IMRN (2023), Paper No. rnad197

Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries, with L. Rizzi, J. Funct. Anal. 285 (2023), no. 9, Paper No. 110099

Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces, with L. De Rosa and M. Inversi, J. Differ. Equ. 366 (2023), 833–861.

On the Steiner property for planar minimizing clusters. The anisotropic case, with V. Franceschi and A. Pratelli, J. Éc. polytech. Math. 10 (2023), 989-1045.

On the Steiner property for planar minimizing clusters. The isotropic case, with V. Franceschi and A. Pratelli, Commun. Contemp. Math. 25 (2023), no. 5, Paper No. 2250040, 29 pp.

On double Hölder regularity of the hydrodynamic pressure in bounded domains, with L. De Rosa and M. Latocca, Calc. Var. Partial Differential Equations 62 (2023), no. 3, Paper No. 85, 31 pp.

Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups, J. Geom. Anal. 32 (2022), no. 4, 136.

Heat and entropy flows in Carnot groups, with L. Ambrosio, Rev. Mat. Iberoam. 36 (2020), no. 1, 257–290.

A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up, with G. E. Comi, J. Funct. Anal. 277 (2019), no. 10, 3373–3435.

Improved Lipschitz approximation of H-perimeter minimizing boundaries, with R. Monti, J. Math. Pures Appl. (9) 108 (2017), no. 3, 372–398.

Research Area

I work in the field of Mathematical Analysis, concerning Calculus of Variations, Geometric Measure Theory, Optimal Transport and Partial Differential Equations.

My research interests include (but are not limited to):
- regularity of minimal surfaces and clusters in Riemannian and sub-Riemannian spaces;
- fractional Sobolev and BV
- spaces and fractional operators;
- curvature properties of non-CD
- spaces linked to heat and entropic flows;
​​- flows associated to non-smooth velocity fields and (incompressible) Euler equations.