Eugenio Vecchi
Post Doc @ Alma Mater Studiorum Università di Bologna - Dipartimento di Matematica (UNIBO)
since 10/1/2015 for 2 years.
under the supervision of Prof. Bruno Franchi
Research
During my PhD studies under the supervision of Prof. Balogh, I have worked on sub-Riemannian geometry and Geometric Analysis. My main interest has concerned curvature problems in the contest of the first Heisenberg group; in particular, I studied possible definitions of horizontal Gaussian curvature for smooth surfaces, away from characteristic points.
Local training activities:
- Topics in Mathematics, periodic seminar organized by F. Ferrari and A. Martinez - A.A 2015/16 Bologna, Italy
- Mathematical Analysis I - A.A 2015-2016 Bologna, Italy
- Mathematical Analysis II - 2°Semester, 2015-2016 Bologna, Italy
- Mathematical Analysis I - A.A, 2016-2017 Bologna, Italy
- Steiner formula in the Heisenberg group - April 7, 2016 Bologna, Italy
Network-wide training activities:
- Sub-Riemannian Analysis, PDE and Applications - January 26-30, 2015 Berna, Swiss
- Analysis and Geometry in metric spaces - July 6-10, 2015 Levico Terme (TN), Italy
- Geometric Analysis in the Heisenberg group - March 4-6, 2015 Bologna, Italy
- Geometric Analysis on sub-Riemannian manifolds - September 29 - October 3, 2014 Paris, France
- 3 days on evolution PDEs - April 27-29, 2016 Fisciano (SA), Italy
- Singular phenomena and singular geometries - June 20-23, 2016 Pisa , Italy
- A mathematical tribute to Ennio De Giorgi - September 19-23, 2016 Pisa, Italy
Outreach:
- Two-day meeting on linear and nonlinear PDE's in honor of the 65th birthday of Christian Gutiérrez - June 9-10, 2016 Bologna, Italy
Publications and Preprints
- Z. Balogh, F. Ferrari, B. Franchi, E. Vecchi, K.Wildrick Steiner's formula in the Heisenberg group on Nonlinear Analysis, Theory, Methods and Applications Vol 126 Elsevier Limited 2015 pp. 201-217 open access version
- Balogh, Z.M., Tyson, J. T., Vecchi, E. Intrinsic curvature of curves and surfaces and a Gauss-Bonnet Theorem in the Heisenberg group on Mathematische Zeitschrift 2016 pp. 1-38
- A.Pinamonti, M.Squassina, E.Vecchi Magnetic BV functions and the Bourgain-Brezis-Mironescu formula preprint
- A.Pinamonti, M.Squassina, E.Vecchi The Maz'ya-Shaposhnikova limit in the magnetic setting on Journal of Mathematical Analysis and Applications Vol 449, issue 2 2017 pp. 1152-1159 open access version
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