Matteo Galli
Post Doc @ Alma Mater Studiorum Università di Bologna - Dipartimento di Matematica (UNIBO)
since 6/1/2014 for 18 months.
under the supervision of Prof. Giovanna Citti
Research
My research activity deals with critical points and second order minima of the area functional in sub-Riemannian manifolds. In particular J15 interested in the links between stable minimal surfaces and models in Vision and the in the study of geometric flows in image reconstruction problems.
Local training activities:
- [Seminars] Topics in Mathematics, periodic seminar organized by F. Ferrari and A. Martinez - a.a. 2015-2016 Bologna, Italy
Network-wide training activities:
- [Conference] Sub-Riemannian manifold, special session Geometric variational problems with associated stability estimates of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications - July 7-11, 2014 Madrid, Spain
Organization activities:
- [Seminars] Topics in Mathematics, periodic seminar organized by N. Arcozzi, S. Francaviglia, M. Galli - a.a. 2014-2015 Bologna, Italy
- [Workshop] Geometric Analysis in the Heisenberg group - March 4-6, 2015 Bologna, Italy
Outreach:
- [Course] Mathematical Analysis II - a.a. 2014-2015 Bologna, Italy
Talks and Poster Presentations:
- [Talk] Area-stationary and stable surfaces of class C1 in the sub-Riemannian Heisenberg group H1 at Analysis and Geometry in metric spaces - June 1-5, 2015 Madrid, Spain
- [Talk] Sub-elliptic PDE Related with Curvature in Sub-Riemannian Manifolds and Applications to Vision at Sub-Riemannian Analysis, PDE and Applications - January 26-30, 2015 Berna, Swiss
- [Talk] Stable Area-stationary Surfaces in sub-Riemannian Geometry at Mid-term Review Meeting - December 9, 2015 Helsinki, Finland
Secondment:
- CNRS Paris - September 2015 to November 2015 Paris, France
Publications and Preprints
- M. Galli, On the classification of complete area-stationary and stable surfaces in the sub-Riemannian Sol manifold on Pacific J. Math Vol 271 Academic Press Inc. 2014 pp. 143-157. open access version
- M. Galli, M. Ritoré, Area-stationary and stable surfaces of class C1 in the sub-Riemannian Heisenberg group H1 on Advances in Mathematics Vol 18 Academic Press Inc. 2015 pp. 737-765 open access version
- M. Galli, M. Ritoré, Regularity of C1 surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds on Calculus of Variations and Partial Differential Equations Vol 54 Springer Berlin Heidelberg 2015 pp. 2503-2516 open access version
- M. Galli, The regularity of Euclidean Lipschitz boundaries with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds on Nonlinear Analysis, Theory, Methods and Applications Vol 136 Elsevier 2016 pp. 40-50 open access version
- M. Galli, Stable Area-stationary Surfaces in sub-Riemannian Geometry report
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