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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
- 2 PhD positions in Probabilty Theory and Mathematical Analysis at TU Delft (deadline: 27 Apr 2025)
- Contratto di ricerca (postdoc) in Verona (deadline: 30 Apr 2025)
- Doctoral and postdoctoral positions at Mathematics Münster (deadline: 1 May 2025)
- Two Postdoc positions at Bocconi University (deadline: 15 May 2025)
- SISSA Mathematical Fellowships – Call 2025 (deadline: 19 May 2025)
- PhD position Shape Optimization, in Paris 1 Panthéon-Sorbonne University (ANR project STOIQUES) (deadline: 20 May 2025)
- PhD position at Technical University of Munich, group "Multiscale and Stochastic Dynamics" (deadline: 31 May 2025)
- Call of interest: position in Analysis - University of Trento (deadline: 31 May 2025)
Forthcoming Seminars
Forthcoming Events
- 10 Mar - 6 Jun 2025: Intensive Period "Quantum Mathematics @ Polimi" (QMP25) Politecnico di Milano
- 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
- 28 Apr - 2 May 2025: Masterclass: geometry of phase transitions University of Copenhagen
- 12 - 13 May 2025: Women in Mathematics Stockholm 2025
- 12 - 14 May 2025: New challenges across analysis and geometry SISSA
- 14 - 16 May 2025: Variational and Analytical aspects of Geometric PDEs Scuola Normale Superiore, Aula Dini
- 16 - 16 May 2025: Calculus of Variations & Applications in Florence
- 19 - 22 May 2025: International Conference on Sobolev Inequalities and Related Topics CUNEF University-Madrid
- 22 - 31 May 2025: CIMPA School 2025, Transport optimal, EDP et optimisation applications en sciences des données Essaouira, Morocco
- 26 - 28 May 2025: Optimal control theory and sub-Riemannian geometry in Paris
- 26 - 30 May 2025: INDAM Workshop "Matter of Shapes" Cortona
- 26 - 31 May 2025: CIME school "Existence and regularity for non uniformy elliptic and parabolic problems under $p,q$ and general growth condition" Montecatini Terme
- 26 - 29 May 2025: Topics in Geometric Analysis II Politecnico di Torino
- 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
- 1 - 5 Jun 2025: Dynamics of Information Systems conference in London, Middlesex University
- 1 - 5 Jun 2025: Dynamics of Information Systems conference in London, Middlesex University
- 3 - 5 Jun 2025: Variational Methods and Non-Smooth Geometric Structures with Applications Bocconi University, Milan
- 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)
- 9 - 13 Jun 2025: Quasiweekend III - Twenty Years On University of Helsinki, Finland
- 9 - 13 Jun 2025: INdAM Workshop "Differential Equations and Nonlinear Models DENoM" INdAM, Rome
- 10 - 19 Jun 2025: School in Geometric Measure Theory and related topics Dep. of Mathematics (Pisa Univ.) and Centro di Ricerca Matematica E. De Giorgi.
- 11 - 14 Jun 2025: WODCA 2025 - Workshop on Optimization, Dynamics and Convex Analysis Aveiro
- 16 - 20 Jun 2025: Vito Volterra Meeting in Calculus of Variations 2025
- 16 - 18 Jun 2025: Three days in Sub-Riemannian geometry Bologna
- 16 - 20 Jun 2025: Differential Geometry, Analysis and Epistemology in Milan - a conference in honor of Marco Rigoli's 70th birthday Università degli Studi di Milano
- 16 - 18 Jun 2025: PDEs @ Essex 2025: Regularity Theory of PDEs and Calculus of Variations University of Essex, UK
- 19 - 20 Jun 2025: Workshop on Variational Problems and PDEs Naples (Italy)
- 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
- 25 - 27 Jun 2025: Three days in Calculus of Variations TU Wien (Vienna)
- 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
- 30 Jun - 4 Jul 2025: 21st School on Interactions between Dynamical Systems and Partial Differential Equations Centre de Recerca Matemàtica (CRM) - Barcelona
- 30 Jun - 4 Jul 2025: Regularity aspects of elliptic and parabolic PDE Thessaloniki, Greece
- 30 Jun - 4 Jul 2025: Mini-courses in Mathematical Analysis 2025 Padova, Italy
- 7 - 11 Jul 2025: Geometric Methods in Calculus of Variations Centro De Giorgi, Pisa
- 13 - 18 Jul 2025: Warsaw Summer School on Evolutionary PDEs University of Warsaw
- 13 - 26 Jul 2025: Summer school in Geometric Measure Theory Hangzhou, China
- 14 - 18 Jul 2025: PRIN school on Geometry and Gravity SISSA
- 14 - 27 Jul 2025: Festum Pi Chania, Greece
- 21 - 23 Jul 2025: CoScaRa Workshop: Deterministic and Stochastic Advection in Fluid Dynamics Basel, Switzerland
- 21 - 25 Jul 2025: Nonlinear PDEs in Guimarães 2025 Guimarães, Portugal
- 22 - 24 Jul 2025: Workshop on Recent trends in calculus of variations and PDE University of Oldenburg, Germany
- 28 Jul - 1 Aug 2025: Interactions between convex geometry and spectral analysis Montréal
- 28 - 30 Jul 2025: Regensburg GAP Days Fakultät für Mathematik, Universität Regensburg
- 26 - 29 Aug 2025: Spectral Theory Workshop Reading, UK
- 31 Aug - 5 Sep 2025: Summer School "Curvature & Applications" Lake Chiemsee, Germany
- 1 - 5 Sep 2025: British Isles Graduate Workshop VI: Minimal surfaces Totland, YHA, Isle of Wight
- 1 - 3 Sep 2025: Three days between Analysis and Geometry in Trento - 4° Edition Trento
- 3 - 5 Sep 2025: Mind the GAP - Young researchers meeting in Geometric Analysis and PDEs University of Trento
- 8 - 12 Sep 2025: Conference: Frontiers in Calculus of Variations and Applied Analysis TUM
- 8 - 11 Sep 2025: Perspectives in Geometric Analysis Politecnico di Milano
- 9 - 13 Sep 2025: Diffusion in Warsaw 2025
- 9 - 12 Sep 2025: Young Researchers Meeting on PDEs II Università di Milano-Bicocca
- 18 - 19 Sep 2025: Advances in Calculus of Variations and Nonlinear Analysis Brescia
- 19 - 19 Sep 2025: Perspectives in the Calculus of Variations - Un incontro in onore di Gianni Dal Maso Accademia Nazionale dei Lincei - Palazzo Corsini - Via della Lungara, 10 - Roma
- 22 - 26 Sep 2025: Warsaw Analysis Days Event WADE25 University of Warsaw
- 24 - 26 Sep 2025: Hyperbolic Problems in Nürnberg
- 24 - 26 Sep 2025: Cauchy-Riemann Geometry and Subelliptic Theory Matera
- 29 Sep - 1 Oct 2025: Mathematical Analysis of Fluid Flows by Variational Methods Berlin
- 13 - 17 Oct 2025: Workshop "Optimal transport and metric geometry across structures" Bernoulli Center, EPFL, Lausanne
- 20 - 24 Oct 2025: Morphogenesis and morphing: 200 years after Gauss Centro De Giorgi, Pisa
- 22 - 24 Oct 2025: Variational Analysis of complex systems in Materials Science, Physics and Biology FBK-Polo Umanistico Via Santa Croce, 77 Trento
- 12 - 16 Jan 2026: Calculus of Variations and applications CIRM, Marseille, France
- 20 - 23 Apr 2026: Valentia Geometrica 2026: a workshop on Geometric Analysis Universitat de València
- 1 - 5 Jun 2026: Nonlinear Analysis, Function Spaces and Applications 13 (NAFSA 13) Prague, Czech Republic
Recently Added Papers
- G. Bouchitté - G. Buttazzo - T. Champion - L. De Pascale (Preprint)
Dissociation limits in Density Functional Theory (2025) - M. Kruzik - F. Riva (Preprint)
The effects of pressure loads in the dimension reduction of elasticity models (2025) - S. Saitta - M. Carioni - S. Mukherjee - C. B. Schönlieb - A. Redaelli (Computer methods and programs in biomedicine)
Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI (2024) - M. Agnoletto - Julio C. Correa Hoyos - Márcio Fabiano da Silva - S. Nardulli (preprint)
Allard's interior $\varepsilon$-Regularity Theorem in Alexandrov spaces (2025) - F. Oronzio (Preprint)
Area, volume and capacity in non-compact 3-manifolds with non--negative scalar curvature (2025) - E. Bruè - A. Naber - D. Semola (Preprint)
Compact Manifolds with Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature (2025) - G. Greco - L. Tamanini (preprint)
Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity (2025) - R. L. Frank - M. G. Mora - J. Mateu - L. Rondi - L. Scardia - J. Verdera (Preprint)
Explicit minimisers for anisotropic Riesz energies (2025) - F. Santambrogio (Accepted Paper)
Optimal transport methods for parabolic diffusion equations: the JKO scheme (2025) - A. Hraivoronska - F. Santambrogio (Preprint)
Convergence of the fully discrete JKO scheme (2025) - A. Mondino - C. Saemann (Preprint)
Lorentzian Gromov-Hausdorff convergence and pre-compactness (2025) - A. Cucinotta - M. Magnabosco (preprint)
On perimeter minimizing sets in manifolds with quadratic volume growth (2025) - A. Bach - M. Ruf (Preprint)
Stochastic homogenization of integral functionals defined on manifold-valued Sobolev maps (2025) - S. Dweik (Preprint)
On the regularity of the solution and the free boundary in a weighted $p-$Laplacian problem (2025) - M. Carioni - J. Krautz - J. F. Pietschmann (Preprint)
Dynamic Optimal Transport with Optimal Preferential Paths (2025) - M. Gallo - J. Schino (preprint)
A Pohožaev minimization for normalized solutions: fractional sublinear equations of logarithmic type (2025) - D. Barilari - T. Bossio - V. Franceschi (Preprint)
Magnetic fields on sub-Riemannian manifolds (2025) - M. Gallo - R. Moraschi - M. Squassina (Preprint)
Quantitative and exact concavity principles for parabolic and elliptic equations (2025) - C. Egan - J. Methven - D. Bourne - M. Cullen (Submitted Paper)
A definition of the background state of the atmosphere using optimal transport (2025)
Recently Modified Papers
- C. Alessi - L. Brasco - M. Miranda Jr (Accepted Paper: Anal. Math. Phys.)
A Schroedinger operator with confining potential having quadratic growth (2025) - N. Gigli - I. Y. Violo (Bollettino dell'Unione Matematica Italiana)
Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces (2024) - P. Valentini (Ph.D. Thesis)
Legendrian cycles and Alexandrov sphere theorems for $W^{2,n}$-hypersurfaces (2025) - A. Mondino - V. Ryborz (Accepted Paper: Journal of Functional Analysis)
On the equivalence of distributional and synthetic Ricci curvature lower bounds (2024) - S. Almi - E. Davoli - A. Kubin - E. Tasso (Submitted Paper)
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case (2024) - E. Davoli - E. Tasso (Submitted Paper)
Non-local non-homogeneous phase transitions: regularity of optimal profiles and sharp-interface limit (2024) - A. Cesaroni - M. Novaga (Mathematika)
Minimal periodic foams with fixed inradius (2025) - E. Caputo - N. Gigli - E. Pasqualetto (Journal für die reine und angewandte Mathematik)
Parallel transport on non-collapsed $\mathsf{RCD}(K,N)$ spaces (2021) - E. Caputo - N. Cavallucci (Advances in Calculus of Variations)
Poincaré inequality and energy of separating sets (2024) - M. Carioni - L. Del Grande - J. A. Iglesias - H. Schönberger (Submitted Paper)
Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons (2025) - R. Cristoferi - R. Ferreira - I. Fonseca - J. A. Iglesias (Submitted Paper)
Monotonicity of the jump set and jump amplitudes in one-dimensional TV denoising (2025) - K. Bredies - J. A. Iglesias - D. Walter (Submitted Paper)
On extremal points for some vectorial total variation seminorms (2024) - F. Bartolucci - M. Carioni - J. A. Iglesias - Y. Korolev - E. Naldi - S. Vigogna (Submitted Paper)
A Lipschitz spaces view of infinitely wide shallow neural networks (2024) - L. Briani - M. Cicalese - L. Kreutz (Preprint)
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories (2025) - S. Dweik - P. Rybka - A. Sabra (Accepted Paper: Nonlinear Analysis)
The non-convex planar Least Gradient Problem (2024) - M. Bansil - A. R. Mészáros (Accepted Paper: Bull. Lond. Math. Soc)
On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations (2025) - R. Cristoferi - G. Fissore - M. Morandotti (Submitted Paper)
Geometrically constrained walls in three dimensions (2025) - D. Semola (Indagat. Math.)
The large scale structure of complete $4$-manifolds with nonnegative Ricci curvature and Euclidean volume growth (2025) - D. Donati (Accepted Paper: Nonlinear Differential Equations and Applications NoDEA)
A new space of generalised vector-valued functions of bounded variation (2023) - G. Dal Maso - D. Donati (Accepted Paper: Proceedings of the Royal Society of Edinburgh Section A)
Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms (2024) - F. van Maarschalkerwaart - S. Mukherjee - M. S. Landman - C. Brune - M. Carioni (Accepted Paper: SSVM 2025)
Perturbation-Aware Distributionally Robust Optimization for Inverse Problems (2025) - J. A. Iglesias - R. Kimmel (Proceedings: NORDIA'12. In ECCV 2012, Workshops and Demonstrations)
Schrödinger Diffusion for Shape Analysis with Texture (2012) - J. A. Iglesias - C. Kirisits (Proceedings: Variational Methods in Imaging and Geometric Control)
Convective regularization for optical flow (2017) - T. Schmidt - J. H. Schütt (Calc. Var. Partial Differ. Equ.)
The optimal Hölder exponent in Massari’s regularity theorem (2023) - T. Schmidt (Math. Ann.)
Isoperimetric conditions, lower semicontinuity, and existence results for perimeter functionals with measure data (2025) - T. Schmidt - J. H. Schütt (J. Lond. Math. Soc., II. Ser.)
Partial regularity for variational integrals with Morrey-Hölder zero-order terms, and the limit exponent in Massari's regularity theorem (2025) - R. Cristoferi - G. Fissore (Advances in Calculus of Variations)
Two dimensional graph model for epitaxial crystal growth with adatoms (2025) - M. Gallo (Ph.D. Thesis)
Nonlocal elliptic PDEs with general nonlinearities (2024) - M. Gallo (Nonlinear Analysis)
Asymptotic decay of solutions for sublinear fractional Choquard equations (2024)