Address book
Contacts
GIORGIO STEFANI
Position
Ricercatore a t.d art. 24 c.3 L.240/2010, L.79/2022 (RTT)
Address
VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA
Telephone
0498271623
Oct. 2025 - Oct. 2031\nTenure Track Assistant Professor \nUniversity of Padova (Italy), Department of Mathematics “Tullio Levi-Civita”\nSTARS@UNIPD Starting Grant 2023 NewFrac (PI: G. Stefani)\n\nSep. 2024 - Sep. 2025\nFixed-Term Junior Assistant Professor \nUniversity of Padova (Italy), Department of Mathematics “Tullio Levi-Civita”\nSTARS@UNIPD Starting Grant 2023 NewFrac (PI: G. Stefani)\n\nFeb. 2022 - Aug. 2024\nResearch Grant Holder\nScuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (Italy)\nERC Starting Grant 2020 GEOSUB (PI: L. Rizzi)\n\nFeb. 2020 - Jan. 2022\nPostdoc Assistant\nUniversität Basel, Basel (Switzerland)\nERC Starting Grant 2015 FLIRT (PI: G. Crippa)\n\n2020\nPh.D. in Mathematics (cum laude) \nScuola Normale Superiore di Pisa. \nAdvisor: L. Ambrosio\n\n2016\nM. Sc. in Mathematics (110/110 cum laude)\nUniversity of Padova. \nAdvisor: R. Monti; Co-advisor: L. Ambrosio\n\n2014\nB. Sc. in Mathematics (110/110 cum laude)\nUniversity of Padova. \nAdvisor: R. Monti
Notices
University of Padova
Department of Mathematics “Tullio Levi-Civita”
Via Trieste, 63 - 35121 Padova (Italy)
Office 4BC9 (4th floor, corridor BC)
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.\n\nMy research interests include (but are not limited to):\n- regularity of minimal surfaces and clusters in Riemannian and sub-Riemannian spaces;\n- fractional Sobolev and BV\n- spaces and fractional operators;\n- curvature properties of non-CD\n- spaces linked to heat and entropic flows;\n- flows associated to non-smooth velocity fields and (incompressible) Euler equations.
