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Projects
- Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
- Anisotropic geometric variational problems: existence, regularity and uniqueness (Antonio De Rosa)
- Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
- Geometry of Metric Groups (Enrico Le Donne) > papers
- Everything You Always Wanted to Know About the JKO Scheme (Filippo Santambrogio)
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)
Open Positions
- Assistant Professor at Bocconi University (deadline: 15 Dec 2024)
- ERC PhD position at University of Warwick (deadline: 15 Dec 2024)
- Analysis of Equations in Fluid Dynamics (deadline: 15 Dec 2024)
- 2 years postdoc in Orsay in applied mathematics (deadline: 15 Dec 2024)
- PhD position in Calculus of Variations and Optimal Transport (deadline: 31 Dec 2024)
- 3-year PhD position in Regensburg, Germany (deadline: 31 Dec 2024)
- Research Associate in Analysis of Fluid PDE at University of Bath (deadline: 5 Jan 2025)
- 2 ERC Postdoctoral Positions at the University of Pisa (2-year positions with the possibility of extending) (deadline: 8 Jan 2025)
- Professorship in Applied Analysis at the University of Vienna (deadline: 10 Jan 2025)
- 3-Year PhD position in Applied Analysis at KU Eichstätt-Ingolstadt (deadline: 10 Jan 2025)
- 2.5-Year Postdoc position in Applied Analysis at Universidad Autónoma de Madrid (deadline: 10 Jan 2025)
- 10 PhD Positions in "Mathematics in Natural, Social and Life Sciences" at the Gran Sasso Science Institute (deadline: 10 Jan 2025)
- 2-year postdoc positions at Université Paris-Cité (deadline: 15 Jan 2025)
- Postdoctoral Position in Mathematics at the University of Fribourg (deadline: 15 Jan 2025)
- Postdoc position in PDE in Barcelona (deadline: 15 Jan 2025)
- Junior Visiting Positions 2025-2027 at Centro de Giorgi (deadline: 15 Jan 2025)
- Postdoc in applied analysis at TU Munich (deadline: 15 Jan 2025)
- Postdoc Position in Analysis at UCLouvain, Belgium (deadline: 31 Jan 2025)
- Postdoctoral Fellowship mathematical general relativity & geometric analysis (deadline: 13 Feb 2025)
Forthcoming Seminars
- 15 Jan 2025: N. Edelen: Regularity of capillary minimal surfaces
Forthcoming Events
- 18 - 20 Dec 2024: ASK Conference 2024 Università di Bologna, Italy
- 9 - 10 Jan 2025: Calculus of Variations and Free Boundary Problems X Dipartimento di Matematica, Università di Pisa
- 13 - 17 Jan 2025: Winter School in Geometric Measure Theory Hangzhou, China
- 19 - 25 Jan 2025: Taiwan Winter School in Analysis Taipei
- 20 Jan - 7 Feb 2025: Calculus of Variations and PDE's in Geometric Analysis Sapienza, Università di Roma
- 27 - 31 Jan 2025: Geometric Measure Theory in Trento Trento
- 10 - 14 Feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 17 - 21 Feb 2025: Calculus of Variations - Old Problems and New Directions: Celebrating Jan Kristensen’s academic life on the occasion of his 60th birthday ICMS, Bayes Centre, Edinburgh
- 19 - 21 Feb 2025: International Workshop on Digital Twins: Mathematical Analysis, Formal Methods and Scientific Machine Learning Università di Padova
- 20 - 21 Feb 2025: Recent progress in PDEs Dipartimento SBAI, Sapienza, Università di Roma
- 24 - 26 Feb 2025: Variational models in Materials Science-III University of Naples Federico II, Accademia Pontaniana
- 10 Mar - 6 Jun 2025: Intensive Period "Quantum Mathematics @ Polimi" (QMP25) Politecnico di Milano
- 12 - 14 Mar 2025: Aachen–Erlangen–Regensburg Young Mathematicians Meeting: From Theory to Applications University of Regensburg
- 17 - 21 Mar 2025: Nonlocal Equations: Analysis and Numerics Bielefeld University
- 31 Mar - 4 Jul 2025: Intensive trimester at GSSI on "Particles, Fluids and Patterns: Analytical and Computational Challenges" Gran Sasso Science Institute, L'Aquila, Italy
- 9 - 11 Apr 2025: Probability, Analysis and Dynamics 2025 Bristol, UK
- 9 - 16 Apr 2025: School on "Selected topics in Calculus of Variations and PDEs" Department of Mathematics, University of Pisa
- 26 - 28 May 2025: Optimal control theory and sub-Riemannian geometry in Paris
- 1 - 7 Jun 2025: Spring School on Analysis 2025: Function Spaces and Applications XIII Paseky nad Jizerou, Czech Republic
- 1 - 6 Jun 2025: Blurring the lines between pure and applied through mixing Sabhal Mor Ostaig, Isle of Skye
- 9 - 13 Jun 2025: Analytical Methods in Quantum and Classical Mechanics
- 9 - 13 Jun 2025: Summer School "Mathematical Analysis and Applications” Villa del Grumello, Como (Italy)
- 10 - 19 Jun 2025: School in Geometric Measure Theory and some related topics Dep. of Mathematics (Pisa Univ.) and Centro di Ricerca Matematica E. De Giorgi.
- 16 - 20 Jun 2025: Vito Volterra Meeting in Calculus of Variations 2025
- 16 - 18 Jun 2025: Three days in Sub-Riemannian geometry Bologna
- 22 - 27 Jun 2025: Summer School on Geometric Analysis and PDEs Chęciny, Poland
- 23 - 27 Jun 2025: Topics in Geometric Analysis Università di Pisa
- 23 - 27 Jun 2025: Workshop: Novel methods of PDEs and function spaces University of Warsaw
- 23 - 27 Jun 2025: International geometric analysis conference in Milan Bocconi University, Milan, Italy
- 23 - 27 Jun 2025: Sub-Riemannian Geometry and Beyond, IV
- 30 Jun - 4 Jul 2025: Topics in Geometric Measure Theory Università di Pisa
- 30 Jun - 4 Jul 2025: Differential Geometry@L'Aquila 2025 Università dell'Aquila
- 13 - 17 Jul 2025: Warsaw Summer School on Evolutionary PDEs University of Warsaw
- 14 - 18 Jul 2025: PRIN school on Geometry and Gravity SISSA
- 9 - 13 Sep 2025: Diffusion in Warsaw 2025
- 9 - 12 Sep 2025: Young Researchers Meeting on PDEs II Università di Milano-Bicocca
Recently Added Papers
- P. Gladbach - J. Maas - L. Portinale (preprint)
Stochastic Homogenisation of nonlinear minimum-cost flow problems (2024) - A. Chiarini - G. Conforti - G. Greco - L. Tamanini (preprint)
A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm (2024) - G. Catino - D. D. Monticelli - A. Roncoroni - X. Wang (Submitted Paper)
Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature (2024) - F. Nobili (Ph.D. Thesis)
Geometric and analytic properties of metric measure spaces through Sobolev calculus (2021) - F. Nobili (preprint)
An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds (2024) - A. Nastasi - C. Pacchiano Camacho (Submitted Paper)
Boundary regularity for quasiminima of double-phase problems on metric spaces (2024) - A. Henrot - A. Lemenant - Y. Privat (Preprint)
Minimization of the first eigenvalue for the Lamé system (2024) - M. Caselli (preprint)
Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$ (2024) - I. Birindelli - A. Briani - H. Ishii (preprint)
Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition (2024) - L. Ganedi - A. Marveggio - K. Stinson (preprint)
Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow (2024) - K. Bołbotowski - G. Bouchitté (preprint)
Kantorovich-Rubinstein duality theory for the Hessian (2024) - R. Ognibene - B. Velichkov (Preprint)
Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems (2024) - R. Monti - A. Socionovo (Calculus of Variations and Partial Differential Equations)
Non-minimality of spirals in sub-Riemannian manifolds (2021) - F. Boarotto - R. Monti - A. Socionovo (Archive for Rational Mechanics and Analysis)
Higher Order Goh Conditions for Singular Extremals of Corank 1 (2024) - M. Novack - D. Restrepo - A. Skorobogatova (Preprint)
Free boundary regularity for semilinear variational problems with a topological constraint (2024)
Recently Modified Papers
- E. Caputo - N. Gigli - E. Pasqualetto (Accepted Paper: Journal für die reine und angewandte Mathematik)
Parallel transport on non-collapsed $\mathsf{RCD}(K,N)$ spaces (2021) - L. Dello Schiavo - L. Portinale - F. Sau (Annals of Applied Probability)
Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains (2021) - M. Magnabosco - L. Portinale - T. Rossi (Communications in Contemporary Mathematics)
The strong Brunn--Minkowski inequality and its equivalence with the CD condition (2024) - L. Portinale - F. Quattrocchi (Accepted Paper: European Journal of Applied Mathematics)
Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs (2023) - S. Ishida - H. Lavenant (Accepted Paper: Foundations of computational mathematics)
Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation (2023) - H. Lavenant (Accepted Paper: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze)
Lifting functionals defined on maps to measure-valued maps via optimal transport (2023) - N. Gigli - L. Tamanini - D. Trevisan (Potential Analysis)
Viscosity solutions of Hamilton-Jacobi equation in $RCD(K,\infty)$ spaces and applications to large deviations (2024) - H. Lavenant - L. Monsaingeon - L. Tamanini - D. Vorotnikov (Calculus of Variations and Partial Differential Equations)
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps (2024) - B. Han - A. Pinamonti - Z. Xu - K. Zambanini (Accepted Paper: Potential Analysis)
Maz'ya - Shaposhnikova meet Bishop - Gromov (2024) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Accepted Paper: Rendiconti Lincei. Matematica e Applicazioni)
Local Regularity of very weak $s$-harmonic functions via fractional difference quotients (2024) - G. Chiriatti - M. Fasiello - R. Grande - E. Pascali
Self referred equations with an integral boundary condition (2024) - A. Jevnikar - Y. Sire - W. Yang (Accepted Paper: Rev. Mat. Iberoam.)
Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities (2024) - D. Bartolucci - P. Cosentino - A. Jevnikar - C. S. Lin (Accepted Paper: Proc. Amer. Math. Soc.)
On the first eigenvalue of Liouville-type problems (2024) - A. Nastasi (RICERCHE DI MATEMATICA)
Neumann $p$-Laplacian problems with a reaction term on metric spaces (2020) - I. Birindelli - A. Briani - H. Ishii (Accepted Paper: Proceedings of the American Mathematical Society)
Test function approach to fully nonlinear equations in thin domains (2024) - R. Cristoferi - G. Fissore - M. Morandotti (Preprint)
Geometrically constrained walls in three dimensions (2024) - T. Beretti - L. Gennaioli (preprint)
Fourier transform of BV functions and applications (2024) - A. Goffi (Accepted Paper: Journal of Functional Analysis)
Interior Hölder and Calderón-Zygmund estimates for fully nonlinear equations with natural gradient growth (2023) - P. Ambrosio - A. G. Grimaldi - A. Passarelli di Napoli (Submitted Paper)
On the second-order regularity of solutions to widely degenerate elliptic equations (2024) - J. Fischer - A. Marveggio (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow (2023) - A. Lemenant - M. R. Pakzad (Preprint)
The biharmonic optimal support problem (2024) - A. Braides - S. Scalabrino - C. Trifone (Accepted Paper: J. Convex Anal.)
Homogenization of non-local energies on disconnected sets (2024) - E. Cabezas-Rivas - S. Moll - V. Pallardó-Julià (Submitted Paper)
Lipschitz regularity for manifold-constrained ROF elliptic systems (2024) - G. Bevilacqua - L. Lussardi - A. Marzocchi (Commun. Appl. Ind. Math)
Soap films: from the Plateau problem to deformable boundaries (2024) - F. Anceschi - M. Piccinini (preprint)
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations (2023) - V. Franceschi - R. Monti - A. Socionovo (Annales Fennici Mathematici)
Mean value formulas on surfaces in Grushin spaces (2024) - M. Bansil - A. R. Mészáros - C. Mou (Accepted Paper: SIAM J. Control Optim.)
Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations (2024)