COLLOQUIA PATAVINA |
Education
1986 – 89 graduated studies in Rome, and in Minneapolis (Minnesota - USA)
1985 laurea degree in Mathematical analysis from the University of Bologna
1/10/2004 – present Professore ordinario
Other positions
2006- 2008 Director of Master in Mathematics and Applications of Math Department, University of Bologna,
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
Coordinator of the project MAnET Metric analysis for Emergent Technologies
Coordinator of the project AGAPE – Analysis in Lie Groups and Applications to Perceptual Emergences (with members of the math depatment, University of Bologna and the CAMS, EHESS (Paris)
Coordinator of the Project EU-US CAP – Complex Analysis and PDE mobility - the project promotes mobility in this field, for graduate students in mathematics
Responsible of a WP within the EU project Fp7 CG-DICE - Dimension Phenomena and Curvature Equations in Carnot Groups
Coordinator of the European Project GALA – (2006-2008) Geometric analysis in Lie groups and Applications. It is an European Research Project, under the VI programme with the participations of 8 Univeristy, and a total grant of 1.000.000 Euros. The scope of the project is to develop instruments of Subriemannian geometry and Non linear Differential equations in Lie groups, with applications to visual perception, magnetic resonance theory and material theory.
Coordinator for the math department f the interdipartimental project of "Neuromathematics and Visual Cognition"
Local coordinator (2004 -2006) of the Alpha -project Computer vision foundations and applications for the Department of Math - Bologna
Local coordinator of the project Geometrical and Numerical analysis for image processing, of the University of Bologna (2004-2005).
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.
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. PreprintBarbieri D., Citti G., Cocci G., Sarti A., A cortical-inspired geometry for contour perception and motion integration. Preprint.
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