Research

My main research interests lie in differential geometry, more precisely in the interplay between Lie groupoids and geometric structures, including G-structures, Cartan geometries and foliations. I also draw inspiration, tools and ideas from Poisson geometry and the theory of PDEs on jet bundles.

See also my profiles on arXiv, Orcid, Google Scholar, MathSciNet and Zentralblatt MATH.

My Erdős number is 5, but my Erdős-Bacon number is still infinite. You can find my mathematical family here (notable relatives: my (great^10)-grandfather is Leonhard Euler and my (great^14)-one is Gottfried Leibniz).

My research statement is available upon request.

Papers and preprints

📄 PB-groupoids vs VB-groupoids, arXiv:2406.06259 (with A. Garmendia)

📄 A groupoid approach to transitive differential geometry, arXiv:2211.16639 (with L. Accornero)

📄 Pseudogroups of symmetries and Morita equivalences, arXiv:2211.01319 (with L. Accornero)

📰 Cartan geometries and multiplicative forms, Differential Geometry and its Applications 75C (2021) 101722, available also on arXiv:1911.13147

📰 From PDEs to Pfaffian fibrations, L'Enseignement Mathématique 66 (2020), 187-250, available also on arXiv:1901.02084 (with M. Crainic and M. Salazar)

📰 Variational derivatives in locally Lagrangian field theories and Noether-Bessel-Hagen currents, International Journal of Geometric Methods in Modern Physics, 13(8), 1650067 (2016), available also on arXiv:1601.07193 (with M. Palese and E. Winterroth)

Survey papers

📄 Poisson manifold, WikiJournal Preprints. Wikidata Q117054291 (undergoing public peer review organised by the WikiJournal of Science).

Works in progress (books)

📝 Pseudogroups and geometric structures (with L. Accornero, M. Crainic and M.A. Salazar)

Works in progress (papers)

📝 "Non-transitive" Cartan geometries associated to contact subriemannian structures (with I. Beschastnyi, A. Čap and J. Mestre)

📝 Multiplicative Haefliger foliations (with M. Jotz)

Theses

📔 PhD Thesis: A general approach on almost structures in geometry (supervised by Marius Crainic, defended on 26 February 2020) 

📔 Master Thesis: Conservation Laws in Variational Sequences (supervised by Marcella Palese, defended on 17 July 2015)

📔 Bachelor thesis: Characteristic curves for PDEs: theory and application to Klein-Gordon equation in metric-affine formalism (supervised by Lorenzo Fatibene, defended on 18 July 2013)