The title links to the published version of the papers, when available, while [.pdf] links to the preprint version. 
All preprints are also available on the Italian archive CVGMT. 

MONOGRAPHS AND BOOKS

• A Comprehensive Introduction to Sub-Riemannian Geometry (with A. Agrachev and U. Boscain),
  Book, Cambridge Studies in Advanced Mathematics, xviii+746 pp. (2019). [.pdf] [Cover] [Link at publisher]
• Curvature: a variational approach (with A. Agrachev and L. Rizzi)
  Memoirs of the American Mathematical Society, 256 (2018), no. 1225, vi + 142 pp. [.pdf] [Cover]
• Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures (with A. Mondino, L. Rizzi). 
  Memoirs of the American Mathematical Society, 317 (2026), no. 1613, viii+145 pp. [.pdf], [.published]

PREPRINTS AND SUBMITTED PAPERS

• Curvature measures and the sub-Riemannian Gauss-Bonnet theorem (with E. Bellini, A. Pinamonti). 
  Arxiv Preprint (Oct 2025), 33 pages. [.pdf]
• Refined Strichartz estimates for sub-Laplacians in Heisenberg and H-type groups (with S. Flynn). 
  ArXiv Preprint (Jan 2025), 32 pages. [.pdf]

PUBLISHED AND ACCEPTED PAPERS

[2026]

• Magnetic flows on 3D contact sub-Riemannian manifolds via the Rumin complex (with T. Bossio, V. Franceschi). 
  Transactions of the American Mathematical Society, to appear, 27 pages. [.pdf]
• Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures (with A. Mondino, L. Rizzi). 
  Memoirs of the American Mathematical Society, 317 (2026), no. 1613, viii+145 pp. [.pdf], [.published]

[2024]

• Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold (with K. Habermann). 
  Nonlinear Differential Equations and Applications NoDEA 31, 3 (2024). [.pdf]
• Steiner and tube formulae in 3D contact sub-Riemannian geometry (with T. Bossio). 
  Communications in Contemporary Mathematics, Vol. 26, No. 07, 2350034 (2024). [.pdf]

[2023]

• Spectral summability for the quartic oscillator with applications to the Engel group (with H. Bahouri, M. Léautaud, I. Gallagher). 
  Journal of Spectral Theory 13 (2023), no. 2, pp. 623–706. [.pdf]

[2022]

• On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds (with U. Boscain, D. Cannarsa). 
  ESAIM: Control, Optimisation and Calculus of Variations, 28 (2022) 9. [.pdf]
• On sub-Riemannian geodesic curvature in dimension three (with M. Kohli). 
  Advances in Calculus of Variations, 15 (2022), no. 3, 577–599. [.pdf]

[2021]

• Strichartz estimates and Fourier restriction theorems on the Heisenberg group (with H. Bahouri, I. Gallagher). 
  Journal of Fourier Analysis and Applications, 27, 21 (2021). [.pdf]
• Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds (with U. Boscain, D. Cannarsa, K. Habermann). 
  Annales de l'Institut Henri Poincaré - Probabilités et Statistiques (2021) Vol. 57, No. 3, 1388–1410. [.pdf]

[2020]

• Bakry-Émery curvature and model spaces in sub-Riemannian geometry (with L. Rizzi). 
  Mathematische Annalen, 377 (2020), 435–482 . [.pdf]
• Volume of small balls and sub-Riemannian curvature in 3D contact manifolds (with I. Beschastnyi, A. Lerario). 
  Journal of Symplectic Geometry, 18 (2020), no. 2. [.pdf]
• On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures (with Y. Chitour, F. Jean, D. Prandi, M. Sigalotti). 
  Journal de Mathématiques Pures et Appliquées, 133 (2020), 118-138. [.pdf]

[2019]

• Sub-Riemannian interpolation inequalities (with L. Rizzi). 
  Inventiones Mathematicae, 215 (2019), no. 3, 977-1038. [.pdf] [.addendum]
• A Bonnet-Myers type theorem for quaternionic contact structures (with S. Ivanov).
  Calculus of Variations and PDE, (2019) 58: 37. [.pdf]
• Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics (with A. Agrachev, E. Paoli). 
  Annales de l'Institut Fourier, 69 (2019) no. 3, 1187-1228. [.pdf]
• Heat kernel asymptotics on SR manifolds with symmetries, applications to the bi-Heisenberg group (with U. Boscain, R.W. Neel).
  Annales de la Faculté des Sciences de Toulouse, 28 (2019) no. 4, p. 707-732. [.pdf]

[2018]

• Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature (with F. Boarotto).
  Journal of Evolution Equations, 18 (2018), no. 3, 1115-1146. [.pdf]
• On the set of points of smoothness for the value function of affine optimal control problems (with F. Boarotto).
  SIAM Journal of Control and Optimization, 56 (2018), no. 2, 649–671. [.pdf]
• Sharp measure contraction property for generalized H-type Carnot groups (with L. Rizzi).
  Communications in Contemporary Mathematics, 20 (2018), no. 06, 1750081. [.pdf]
• Curvature: a variational approach (with A. Agrachev and L. Rizzi)
  Memoirs of the American Mathematical Society, 256 (2018), no. 1225, vi + 142 pp. [.pdf] [Cover]

[2017]

• Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators (with E. Paoli).
  Nonlinear Analysis, 164 (2017) 118-134. [.pdf]
• Sub-Finsler structures from the time-optimal viewpoint on some nilpotent distributions (with U. Boscain, E. Le Donne, M. Sigalotti),
  Journal of Dynamical and Control Systems (2017) 23: 547-575. [.pdf]
• On Jacobi fields and canonical connection in sub-Riemannian geometry (with L. Rizzi).
  Archivum Mathematicum, 53 (2017), 77-92. [.pdf]
• On the heat diffusion for generic Riemannian and sub-Riemannian structures (with U. Boscain, R.W. Neel and G. Charlot), 
  International Mathematics Research Notices (2017) 15: 4639-4672. [.pdf]
• Sub-Riemannian curvature in contact geometry (with A. Agrachev and L. Rizzi), 
  The Journal of Geometric Analysis (2017) 27: 366-408. [.pdf]

[2016]

• Comparison theorems for conjugate points in sub-Riemannian geometry (with L. Rizzi), 
  ESAIM: Control, Optimisation and Calculus of Variations v.22, n.2 (2016) 439-472. [.pdf]

[2014]

• Small time heat kernel asymptotics at the cut locus on surfaces of revolution (with J. Jendrej), 
  Annales Institut Henri Poincaré - Analyse Non Linéaire, 31 (2014), pp. 281-295. [.pdf]

[2013]

• A formula for Popp's volume in sub-Riemannian geometry (with L. Rizzi), 
  Analysis and Geometry in Metric Spaces, 1 (2013), 42-57. [.pdf]
• Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry, 
  Journal of Mathematical Sciences, 195 (2013), no. 3, 391-411. [.pdf]

[2012]

• Small time heat kernel asymptotics at the sub-Riemannian cut locus (with U. Boscain and R.W. Neel), 
  Journal of Differential Geometry, 92 (2012), no.3, 373-416. [.pdf]
• On 2-step, corank 2 sub-Riemannian metrics (with U. Boscain and J.P. Gauthier), 
  SIAM Journal of Control and Optimization, 50 (2012), no. 1, 559-582. [.pdf]
• Sub-Riemannian structures on 3D Lie groups (with A. Agrachev), 
  Journal of Dynamical and Control Systems (2012), 18: 21-44. [.pdf]
• On the Hausdorff volume in sub-Riemannian geometry (with A. Agrachev and U. Boscain), 
  Calculus of Variations and PDE, 43 (2012), no. 3-4, 355-388. [.pdf]

SLIDES AND VIDEOS OF SOME PAST TALKS

• Unified synthetic curvature condition for Riemannian and sub-Riemannian geometry 
  at ESI Workshop "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension ", Vienna, Austria, May 2024
• The geometry of the Heisenberg group: an invitation to sub-Riemannian geometry 
  at "Journées Rentrée Master FMJH", Paris, France, Sept 2019 - [Lecture 1] [Lecture 2] [Lecture 3]
• On the Brunn-Minkovski inequality in sub-Riemannian geometry 
  at Riemannian Geometry and Generalized Functions, Paris, France, October 2018
• On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures 
  at GdT Controle, LJLL, Sorbonne Université, March 2019
• On the regularity of the value function for affine optimal control problems 
  at Mathematical Control Theory, Porquerolles, France, June 2017
• From Thermodynamics to Image Reconstruction: an invitation to sub-Riemannian geometry 
  at Mathematics and Phisycs Colloquium, Hannover, November 2016
• Volume geodesic distortion and Ricci curvature in sub-Riemannian geometry - [Video]  
  at Journée ANR "On the sub-Riemannian Laplacian", Grenoble, October 2016
• Sub-Riemannian curvature: a variational approach 
  at Workshop "Geometric Analysis on sub-Riemannian manifolds", IHP, Paris, September 2014
• Heat kernel asymptotics at the cut locus on Riemannian and sub-Riemannian manifolds - [Video]  
  at "International Youth Conference "Geometry & Control", Steklov Institute, Moscow, April 2014
• Comparison theorems for conjugate points in sub-Riemannian geometry 
  at Workshop "Analysis and Geometry in Control Theory and applications", INDAM, Rome, June 2014

EXPOSITORY PAPERS AND PROCEEDINGS

• Geometry of Maslov cycles (with A. Lerario). Geom. Control and SR Geometry. Springer INDAM Series, 15-35, vol. 5 (2014). [.pdf]
• Introduction to geodesics in sub-Riemannian geometry (with A. Agrachev and U. Boscain), DOI 10.4171/163-1/1.
  in "Geometry, Analysis and Dynamics in SR manifolds, vol.II", EMS Lecture Notes series (2016), 85pp., [Cover]
• Time-Optimal Synthesis for Three Relevant Problems: The Brockett Integrator, the Grushin Plane and the Martinet Distribution (with U. Boscain, E. Le Donne and M. Sigalotti), Proceedings of the 54th IEEE CDC, Osaka, Japan, Dec 2015. [.pdf]
• Asymptotiques en temps petit du noyau de la chaleur des métriques riemanniennes et sous-riemanniennes (with U.Boscain, G.Charlot and R.Neel). Actes du séminaire de Théorie spectrale et géométrie, Grenoble, Volume 31 (2012-2014), 55-70. [.pdf]