unipd

COLLOQUIA PATAVINA

unipd




Angelo Vistoli
Dimensione essenziale
29.1.2013


Brief bio

Education

1986 – 89 graduated studies in Rome, and in Minneapolis (Minnesota - USA)

1985 laurea degree in Mathematical analysis from the University of Bologna

Academic position

1/10/2004 – present Professore ordinario

Other positions

2006- 2008 Director of Master in Mathematics and Applications of Math Department, University of Bologna,


2006
- 2008 Director of the local unit of the group Neuromathematics and Vision It is an interdipartimental group, composed by members Department of Mathematics and Department of Electronics, Information and Systems, of University of Bologna, and of Centre de Recherche en Epistemologie Appliquée of Ecole Polytechnique, Paris.

2006- present Member of the scienfic commitee of the PHD school of Mathematics in Bologna.

2013- Coordinator of the phd in Mathematics

Coordination activities and Grants


Organization of conferences and workshops

Coorganizer of the conference Geometric methods in PDE’s Cortona (AR Italy) - May 27-31, 2013

Coorganizer of the periodic seminar Neuromathematics and vision, IHP Paris, 2011- 12, and 2012- 13

Coorganizer of the workshop Representation Theory and Vision Bologna, September 20 - 21, 2010

Coorganizer of the conference Subriemannian geometry and vision, Bologna 2009. August 31- September 4 2009. The scientic committee is composed by G. Citti (Bologna, Italy), P. Koskela (Jyväskylän, Finland), J. Petitot (CREA Paris, France), H. M. Reimann (Bern, Switzerland), A. Sarti (Bologna, Italy ), R. Serapioni (Trento, Italy), J. A. Sethian ( Berkeley, USA), S. Zucker (Yale, USA). The conference will focus on geometrical analysis in Lie groups and computational models of the functional architecture of the visual cortex on the other.


Coorganizer of the conference Geometric Methods in PDE's: Bologna, May 27-30 2008 Organizing Committee G. Citti A. Montanari, A. Pascucci, S. Policoro (Bologna). Scientific Commitee S.Dragomir (Basilicata), B. Franchi (Bologna), C. Gutierrez (Temple U. Philadelphia).


Scientific profile

The main research themes afforded by the applicant are

curvature equation in CR manifolds and Lie groups with a subriemannian metric

Models of visual perception in Lie goups

In both fields the contribution of the applicant appearead on high level international journals and contributed to open new directions of research.

Short List of recent Pubblications

Preprints

Barbieri, D. Citti G., Coherent states of the Euclidean Motion Group and CR regularity. Preprint

Barbieri D., Citti G., Cocci G., Sarti A., A cortical-inspired geometry for contour perception and motion integration. Preprint.


Capogna, L. Citti G. and Manfredini M., Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups, submitted

Papers appeared or accepted on journals with referee

Capogna L., Citti G. and Senni C., Sub -Riemannian heat kernels and mean curvature flows of graphs,. JFA

Capogna L., Citti G. and Rea G., A subelliptic analogue of Aronson-Serrin’s Harnack Inequality. Accepted on Math Ann.

Citti G., Sarti A. Models of the Visual Cortex in Lie Groups, Advanced Courses in Mathematics, Springer, 2013.

Citti G. Ferrari F., A sharp regularity result of solutions of a transmission problem, Proc. Amer. Math. Soc. 140 (2012) 615-620.

Citti G., Senni, C., Constant mean curvature graphs on exterior domains of the hyperbolic plane, Math. Zeit, (2012), no. 1-2, 531–550

Barbieri D., Citti G., Regularity of non charachteristic minimal graphs in Lie groups of step 2 and dimension 3, Journal des Mathématiques Pures et Appliquées 96(3):279-306, 2011.

Capogna L., Citti G., Manfredini M., Smoothness of lipschitz minimal intrinsic graphs in Heisenberg groups Hn, n > 1,J. Reine Angew. Math. 648 (2010), 75–110.

Capogna L., Citti G., Generalized mean curvature flow in Carnot groups, Comm. Partial Differential Equations 34 (2009), no. 7-9, 937–956 .

Capogna L., Citti G., Manfredini M., Regularity of non-characteristic minimal graphs in the Heisenberg group H1 Indiana Univ. Math. J. 58 (2009), no. 5, 2115–2160.

Citti G., Sarti A., ‘A cortical based model of perceptual completion in the Roto-Translation space’, Journal of Mathematical Imaging and Vision, 2006, vol. 24, pp. 307 - 326

Citti G., Manfredini M.,.Sarti A., “Neuronal Oscillations in the Visual Cortex: Gamma-convergence to the Riemannian Mumford-Shah Functional”, SIAM Journal Mathematical Analysis, vol. 36, n.6, pag. 1394-1419, 2004