Academic positions
12/2024-now Research Fellow, University of Padova, Italy.
Education
11/2021-11/2024 Ph.D. in Mathematics, University of Trento.
Thesis: New and old sub-Riemannian challenges bridging analysis and geometry.
Advisor: Prof. A. Pinamonti.
Grade: Awarded cum laude.
09/2019-07/2021 Masters's Degree in Mathematics, University of Trento.
Thesis: Integral representation of local functionals.
Advisor: Prof. A. Pinamonti.
Grade: 110/110 cum laude.
09/2016-07/2019 Bachelor's Degree in Mathematics, University of Trento.
Thesis: Il Teorema di Seifert-Van Kampen
Advisor: Prof. R. Ghiloni.
Grade: 110/110 cum laude.
09/2011-07/2016 High school Leaving Qualification in Scientific Studies, IIS L. Calabrese - P. Levi, Italy.
Thesis: Consonanza e dissonanza: concetti culturali o conseguenze fisiologiche?
Grade: 100/100 cum laude.
Projects and memberships
2025 Principal investigator of the INDAM - GNAMPA project Structure of sub-Riemannian hypersurfaces in Heisenberg groups.
2023 Member of the INDAM - GNAMPA project Equazioni differenziali alle derivate parziali di tipo misto o dipendenti da campi di vettori.
2023-now Member of INDAM - GNAMPA.
2022-now Member of the MIUR - PRIN project Regularity problems in sub-Riemannian structures.
Awards
2024 Best Ph.D. thesis in Mathematics of the University of Trento.
Students
2025-now Gianluca Somma, Ph.D. student in Mathematics at the University of Padova. Co-supervision with Davide Vittone.
Talks
2025
Rigidity results for complete, stable hypersurfaces in sub-Riemannian Heisenberg groups, Workshop on Geometric Variational Problems in Sub-Riemannian Geometry, Granada (Spain), 10/09-12/09.
Variational properties of local functionals depending on vector fields, New Frontiers in Homogenization and Fractional Calculus, Barcelona (Spain), 24/03-25/03.
Rigidity results for complete, stable hypersurfaces in sub-Riemannian Heisenberg groups, Geometric Measure Theory in Trento, Trento (Italy), 27/01-31/01.
2024
The Bernstein problem in sub-Riemannian Heisenberg groups: origins and new developments, 13th School on Analysis and Geometry in Metric Spaces, Trento (Italy), 09/06-14/06.
2023
The asymptotic p-Poisson equation as p tends to infinity in Carnot-Carathéodory spaces, XXXII Convegno Nazionale di Calcolo delle Variazioni, Levico Terme (Italy), 08/05-13/05.
Seminars
2025
Variational properties of the total inverse curvature, University of Firenze, Firenze (Italy), 11/11.
Minimal surfaces between Riemannian and sub-Riemannian geometry, University of Padova, Padova (Italy), 14/01.
2024
What are constant mean curvature hypersurfaces?, University of Trento, Trento (Italy), 23/04.
The Bernstein problem in sub-Riemannian Heisenberg groups: origins and new developments, University of Fribourg, Fribourg (Switzerland), 12/03.
2023
Ruled hypersurfaces in higher dimensional Heisenberg groups, University of Padova, Padova (Italy), 12/07.
The asymptotic p-Poisson equation as p tends to infinity in Carnot-Carathéodory spaces, Courant Institute of Mathematical Sciences, New York University, New York (USA), 21/03.
International visits
03/2025-04/2025 Centre de Recerca Matemàtica, Barcelona (Spain).
03/2024 University of Fribourg, Fribourg (Switzerland). Supervision of Prof. Enrico Le Donne.
03/2023 Courant Institute of Mathematical Sciences, New York University, New York (USA). Supervision of Prof. Robert Young.
Review activity
Analysis and Geometry in Metric Spaces
Organization of conferences
2025
Mind the GAP - Young researchers meeting in Geometric Analysis and PDEs, Trento (Italy), 03/09-05/09.
Three days in Sub-Riemannian geometry, Bologna (Italy), 16/06-18/06.
Teaching
2025-2026
Analysis 1, Bachelor's Degree in Chemical Engineering, University of Padova.
2023-2024
Teaching assistance, Analysis 1 and 2, Bachelor's Degree in Mathematics, University of Trento.
2022-2023
Teaching assistance, Analysis 1 and 2, Bachelor's Degree in Mathematics, University of Trento.
2021-2022
Teaching assistance, Analysis 1, Bachelor's Degree in Physics, University of Trento.
Tutoring activities, Analysis 1 and 2, Bachelor's Degree in Mathematics, University of Trento.
2020-2021
Tutoring activities, Analysis 1 and 2, Bachelor's Degree in Mathematics, University of Trento.
2019-2020
Tutoring activities, Analysis 1, Bachelor's Degree in Industrial Engineering, University of Trento.
Tutoring activities, Linear Algebra, Bachelor's Degree in Physics, University of Trento.