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Projects

• Geometric Measure Theory in non Euclidean spaces (Luigi Ambrosio) > papers
• Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
• Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
• Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
• Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)
• Geometry of Metric Groups (Enrico Le Donne) > papers
• Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)

News

• 7 Apr 2021: Oberwolfach Seminar "Introduction to Convex Integration"

Open Positions

• Research RTDB position in Geometry at the University of l'Aquila (deadline: 15 Apr 2021)
• 3 Posizioni di Ricercatore TD Tipo B - Mat/05 - Dipartimento di Matematica dell'Univ. di Napoli Federico II (deadline: 29 Apr 2021)
• Call for expression of interest in positions (Tenure Track, Associate Professor, Full Professor) at the Mathematics Department (University of Pisa) (deadline: 30 Apr 2021)
• PhD position in spectral theory of differential operators, Oldenburg (deadline: 7 May 2021)
• 4 PhD Positions at Radboud University (deadline: 7 May 2021)
• Post doc position in Mathematical Analysis - 1+1 - Trento (deadline: 13 May 2021)
• Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China (deadline: 11 Feb 2022)
• Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2022)

Forthcoming Seminars

• 15 Apr 2021: N. Fusco: Asymptotic stability for the gradient flow of some nonlocal energies
• 15 Apr 2021: R. Scala: Nonlocality features of the area functional and the Plateau problem
• 15 Apr 2021: V. Franceschi: The Heisenberg isoperimetric problem: an anisotropic version
• 21 Apr 2021: R. L. Frank: Colloquium-TBA
• 22 Apr 2021: J. L. Vazquez: TBA
• 29 Apr 2021: J. Mass: Homogenisation of discrete dynamical optimal transport
• 29 Apr 2021: M. Fathi: A proof of the Caffarelli contraction theorem via entropic interpolation

Forthcoming Events

• 18 Nov 2020 - 15 Sep 2021: NCTS International Geometric Measure Theory Seminar
• 7 - 21 Apr 2021: Lecture Series "Slicing and fine properties of $BV^{\mathcal A}$ functions"
• 12 - 16 Apr 2021: Optimization of shape and material properties: advanced mathematical methods and 3D printing CISM, Udine
• 12 - 15 Apr 2021: Hausdorff School: “Diffusive Systems” Bonn (online)
• 19 - 21 May 2021: ''Workshop on $L^\infty$ and constrained variational problems''. Online
• 7 - 11 Jun 2021: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
• 21 - 25 Jun 2021: Tenth Summer School in Analysis and Applied Mathematics Dipartimento di Matematica - Sapienza, Università di Roma
• 28 Jun - 2 Jul 2021: Como Lake School Mathematical Models for Bio-Medical Sciences moved to 2021 Villa del Grumello, Como
• 5 - 9 Jul 2021: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
• 9 - 20 Aug 2021: 30th Jyväskylä Summer School Jyväskylä, Finland
• 20 Sep - 17 Dec 2021: Distributed Solutions to Complex Societal Problems University of Chicago, USA
• 6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
• 13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
• 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

Recently Added Papers

• E. Mukoseeva (Ph.D. Thesis)
  Second variation techniques for stability in geometric inequalities (2020)
• E. Marconi (Preprint)
  Characterization of minimizers of Aviles-Giga functionals on special domains (2021)
• I. Mondello - A. Mondino - R. Perales (Submitted Paper)
  An upper bound on the revised first Betti number and a torus stability result for RCD spaces (2021)
• K. Bołbotowski - G. Bouchitté (Preprint)
  Optimal design versus maximal Monge-Kantorovich metrics (2021)
• A. Figalli - X. Ros-Oton - J. Serra (Preprint)
  The singular set in the Stefan problem (2021)
• C. Mantegazza - M. Novaga - A. Pluda (Preprint)
  Type-0 singularities in the network flow - Evolution of trees (2021)
• E. Bruè - Q. Deng - D. Semola (Preprint)
  Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces (2021)
• M. Magnabosco - C. Rigoni - G. Sosa (Submitted Paper)
  Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter (2021)
• A. Lorent - G. Peng (Preprint)
  Factorization for entropy production of the Eikonal equation and regularity (2021)
• F. Cavalletti - P. Antonini (Preprint)
  Geometry of Grassmannians and optimal transport of quantum states (2021)
• K. Fässler - A. Pinamonti (Preprint)
  Loomis-Whitney inequalities in Heisenberg groups (2021)
• C. Brand - G. Dolzmann - A. Pluda (Preprint)
  Variational models for the interaction of surfactants with curvature - existence and regularity of minimizers in the case of flexible curves (2021)
• M. Cicalese - G. Orlando - M. Ruf (Preprint)
  The N-clock model: variational analysis for fast and slow divergence rates of N (2020)
• S. Albeaik - A. Bayen - M. T. Chiri - X. Gong - A. Hayat - N. Kardous - A. Keimer - S. T. McQuade - B. Piccoli - Y. You (Submitted Paper)
  Limitations and Improvements of the Intelligent Driver Model (IDM) (2021)
• B. Storti - P. Quaranta - C. Di Primio - N. Clementi - P. G. Spezia - V. Carnicelli - G. Lottini - E. Paolini - G. Freer - M. Lai - M. Costa - F. Beltram - A. Diaspro - M. Pistello - R. Zucchi - P. Bianchini - G. Signore - R. Bizzarri (Preprint: biorxiv)
  A spatial multi-scale fluorescence microscopy toolbox discloses entry checkpoints of SARS-CoV-2 variants in VeroE6 cells (2021)
• G. Antonelli - A. Merlo (Preprint)
  On rectifiable measures in Carnot groups: representation (2021)
• M. Cicalese - M. Focardi - C. I. Zeppieri (Submitted Paper)
  Phase-field approximation of functionals defined on piecewise-rigid maps (2021)
• L. Lamberti (Preprint)
  A regularity result for minimal configurations of a free interface problem (2020)

Recently Modified Papers

• N. De Ponti - A. Mondino - D. Semola (Journal of Functional Analysis)
  The equality case in Cheeger's and Buser's inequalities on $ \mathsf{RCD}$ spaces (2021)
• C. Maor - M. G. Mora (Accepted Paper: Journal of Nonlinear Science)
  Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces (2021)
• L. Brasco - G. De Philippis - G. Franzina (Accepted Paper: Comm. Partial Differential Equations)
  Positive solutions to the sublinear Lane-Emden equation are isolated (2021)
• B. Bulanyi - A. Lemenant (Accepted Paper: ESAIM Control Optim. Calc. Var.)
  Regularity for the planar optimal $p$-compliance problem (2021)
• B. Bulanyi (Journal of Mathematical Analysis and Applications)
  On the importance of the connectedness assumption in the statement of the optimal $p$-compliance problem (2021)
• L. Ambrosio - D. Tewodrose - S. Honda - J. Portegies (Journal of Functional Analysis)
  Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions (2021)
• D. Tewodrose (Accepted Paper: Annales Academiæ Scientiarum Fennicæ Mathematica)
  Adimensional weighted Sobolev inequalities in PI spaces (2020)
• A. Pinamonti - T. Orponen - K. Fässler (Submitted Paper)
  Planar incidences and geometric inequalities in the Heisenberg group (2020)
• S. Almi - M. Morandotti - F. Solombrino (Accepted Paper: Journal of Evolution Equations)
  A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games (2020)
• A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Submitted Paper)
  Gamma-convergence of Gaussian fractional perimeter (2021)
• M. Cicalese - M. Ruf (Disc. Cont. Dyn. Sys.-S)
  Discrete spin systems on random lattices at the bulk scaling (2017)
• M. Cicalese - M. Forster - G. Orlando (SIAM J. Math. Anal.)
  Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions (2019)
• M. Cicalese - G. P. Leonardi - F. Maggi (Indiana U Math Journal)
  Improved convergence theorems for bubble clusters. I. The planar case (2016)
• M. Cicalese - N. Fusco (Esaim: COCV)
  A note on relaxation with constraints on the determinant (2017)
• M. Cicalese - G. P. Leonardi - F. Maggi (Interfaces and Free Boundaries)
  Sharp stability inequalities for planar double bubbles (2017)
• M. Cicalese - G. P. Leonardi (Commun. Math. Phys.)
  Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (2019)
• M. Cicalese - G. Orlando - M. Ruf (Accepted Paper: Comm. Pure Appl. Math.)
  From the $N$-clock model to the $XY$ model: emergence of concentration effects in the variational analysis (2019)
• A. Bach - M. Cicalese - M. Ruf (Accepted Paper: SIAM J. Math. Anal.)
  Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (2019)
• M. Cicalese - G. Orlando - M. Ruf (Accepted Paper: Interfaces and Free Boundaries)
  Coarse graining and large-$N$ behavior of the $d$-dimensional $N$-clock model (2020)
• A. Bach - M. Cicalese - L. Kreutz - G. Orlando (Accepted Paper: Indiana Univ. Mat. J.)
  The antiferromagnetic XY model on the triangular lattice: topological singularities (2020)
• M. Cicalese - A. Gloria - M. Ruf (Archive for Rational Mechanics and Analysis)
  From statistical polymer physics to nonlinear elasticity (2020)
• M. Bonafini - V. P. C. Le - M. Novaga - G. Orlandi (Accepted Paper: Nonlinear Analysis)
  On the obstacle problem for fractional semilinear wave equations (2021)
• G. Antonelli - E. Le Donne (Submitted Paper)
  Polynomial and horizontally polynomial functions on Lie groups (2020)
• M. Pozzetta (Ph.D. Thesis)
  Willmore-type Energies of Curves and Surfaces (2020)
• F. Riva - L. Nardini (Journal of Evolution Equations)
  Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping (2020)
• M. Bonacini - R. Cristoferi - I. Topaloglu (Submitted Paper)
  Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals (2021)
• M. Bonacini - R. Cristoferi - I. Topaloglu (Nonlinear Analysis)
  Minimality of polytopes in a nonlocal anisotropic isoperimetric problem (2021)
• S. Alama - L. Bronsard - I. Topaloglu - A. Zuniga (Calc. Var.)
  A nonlocal isoperimetric problem with density perimeter (2021)
• O. Misiats - I. Topaloglu (ESAIM: COCV)
  On minimizers of an anisotropic liquid drop model (2021)
• G. Antonelli - A. Merlo (Accepted Paper: Ann. Acad. Sci. Fenn. Math.)
  Intrinsically Lipschitz functions with normal targets in Carnot groups (2020)
• N. Fusco - M. Morini (Submitted Paper)
  Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains (2021)