Full Professor, Università degli Studi di Padova

Email: barilari AT math.unipd.it

Home-page: https://www.math.unipd.it/~barilari/

Available papers (35):

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• D. Barilari - A. Mondino - L. Rizzi (Accepted Paper: Memoirs of the AMS)
  Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures (2024)
• D. Barilari - T. Bossio (Accepted Paper: Communication in Contemporary Mathematics)
  Steiner and tube formulae in 3D contact sub-Riemannian geometry (2023)
• D. Barilari - U. Boscain - D. Cannarsa (ESAIM: Control, Optimisation and Calculus of Variations)
  On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds (2022)
• H. Bahouri - D. Barilari - I. Gallagher - M. Léautaud (Accepted Paper: Journal of Spectral Theory)
  Spectral summability for the quartic oscillator with applications to the Engel group (2022)
• D. Barilari - K. Habermann (Accepted Paper: Nonlinear Differential Equations and Applications NoDEA)
  Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold (2022)
• D. Barilari - U. Boscain - D. Cannarsa - K. Habermann (Accepted Paper: Annales de l'Institut Henri Poincaré - Probabilités et Statistiques)
  Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds (2021)
• H. Bahouri - D. Barilari - I. Gallagher (Journal of Fourier Analysis and Applications)
  Strichartz estimates and Fourier restriction theorems on the Heisenberg group (2021)
• D. Barilari - M. Kohli (Advances in Calculus of Variations)
  On sub-Riemannian geodesic curvature in dimension three (2021)
• D. Barilari - L. Rizzi (Mathematische Annalen)
  Bakry-Émery curvature and model spaces in sub-Riemannian geometry (2020)
• D. Barilari - I. Beschastnyi - A. Lerario (Journal of Symplectic Geometry)
  Volume of small balls and sub-Riemannian curvature in 3D contact manifolds (2020)
• D. Barilari - Y. Chitour - F. Jean - D. Prandi - M. Sigalotti (Journal de Mathématiques Pures et Appliquées)
  On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures (2020)
• A. Agrachev - D. Barilari - U. Boscain (Book: Cambridge Studies in Advanced Mathematics, Cambridge Univ. Press)
  A Comprehensive Introduction to Sub-Riemannian Geometry (2019)
• D. Barilari - S. Ivanov (Calc. Var. PDE)
  A Bonnet-Myers type theorem for quaternionic contact structures (2019)
• D. Barilari - U. Boscain - R. W. Neel (Annales de la Faculté des Sciences de Toulouse)
  Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group (2019)
• A. Agrachev - D. Barilari - E. Paoli (Annales de l'Institut Fourier)
  Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics (2019)
• A. Agrachev - D. Barilari - L. Rizzi (Memoirs of the AMS)
  Curvature: a variational approach (2018)
• D. Barilari - F. Boarotto (SIAM Journal of Control and Optimization)
  On the set of points of smoothness for the value function for affine optimal control problems (2018)
• D. Barilari - L. Rizzi (Inventiones Mathematicae)
  Sub-Riemannian interpolation inequalities (2018)
• D. Barilari - F. Boarotto (Journal of Evolution Equations)
  Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature (2018)
• D. Barilari - L. Rizzi (Archivum Mathematicum)
  On Jacobi fields and a canonical connection in sub-Riemannian geometry (2017)
• D. Barilari - L. Rizzi (Communications in Contemporary Mathematics)
  Sharp measure contraction property for generalized H-type Carnot groups (2017)
• D. Barilari - U. Boscain - G. Charlot - R. W. Neel (Int. Math. Res. Not.)
  On the heat diffusion for generic Riemannian and sub-Riemannian structures (2017)
• D. Barilari - U. Boscain - E. Le Donne - M. Sigalotti (Journal of Dynamical and Control Systems)
  Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions (2016)
• D. Barilari - U. Boscain - M. Sigalotti (Lecture Notes: EMS Series of Lectures in Mathematics)
  Dynamics, geometry and analysis on sub-Riemannian manifolds, vol. I and vol. II (2016)
• A. Agrachev - D. Barilari - L. Rizzi (Journal of Geometric Analysis)
  Sub-Riemannian curvature in contact geometry (2015)
• D. Barilari - E. Paoli (Nonlinear Analysis)
  Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators (2015)
• A. Lerario - D. Barilari (Geometric Control and Sub-Riemannian Geometry)
  Geometry of Maslov Cycles (2014)
• D. Barilari - L. Rizzi (Control, Optimisation and Calculus of Variations)
  Comparison theorems for conjugate points in sub-Riemannian geometry (2014)
• D. Barilari (Journal of Mathematical Science)
  Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry (2013)
• D. Barilari - L. Rizzi (Analysis and Geometry in Metric Spaces)
  A formula for Popp's volume in sub-Riemannian geometry (2013)
• A. Agrachev - D. Barilari - U. Boscain (Calc. Var. and PDE)
  On the Hausdorff volume in sub-Riemannian geometry (2012)
• A. Agrachev - D. Barilari (J. Dynam. Control Systems)
  Sub-Riemannian structures on 3D Lie groups (2012)
• D. Barilari - U. Boscain - J. P. Gauthier (SIAM, Journal of Control and Optimization)
  On 2-step, corank 2 nilpotent sub-Riemannian metrics (2012)
• D. Barilari - U. Boscain - R. W. Neel (Journal of Differential Geometry)
  Small time heat kernel asymptotics at the sub-Riemannian cut locus (2012)
• D. Barilari - J. Jendrej (Ann. Inst. Henri Poincaré Anal. Non Linéaire)
  Small time heat kernel asymptotics at the cut locus on surfaces of revolution (2012)

Seminars:

• 13 apr 2021: On the Brunn-Minkovski inequality and sub-Riemannian curvature

Speaker:

• 24 jun 2024 - 28 jun 2024: First Johns Hopkins University - University of Bologna Conference "Noncommutativity at the Interface of Topology, Geometry and Analysis"
• 21 may 2024 - 24 may 2024: Workshop: Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension
• 10 feb 2020 - 12 feb 2020: Dispersive and subelliptic PDEs
• 26 nov 2018 - 30 nov 2018: Analysis, Control and Inverse Problems for PDEs
• 20 jun 2016 - 23 jun 2016: Singular Phenomena and Singular Geometries

Organizer:

• 3 jul 2024 - 5 jul 2024: PaPa24: Padua Paris Sub-Riemannian seminar
• 6 may 2024 - 7 may 2024: Dispersion and Geometry in Padova
• 27 mar 2023 - 31 mar 2023: Geometry and Control in Cortona
• 6 sep 2021 - 7 sep 2021: PaPa - Padua Paris sub-Riemannian seminar
• 7 sep 2020 - 11 sep 2020: SRGI conference: Sub-Riemannian Geometry and Interactions
• 17 oct 2017 - 18 oct 2017: Sub-Riemannian days 2017
• 14 jun 2017 - 16 jun 2017: From students to mathematicians: an excellence master program in Trieste