D AV I D E B A R I L A R I

Transcription

1 D AV I D E B A R I L A R I personal information Born in Cattolica (RN), Italy - 07 November davide.barilari@imj-prg.fr website webusers.imj-prg.fr/ davide.barilari phone (O) (M) work experience Present position PostDoc 2013 Present Maître de Conférence, Université Paris Diderot From Sept 2013: full time position at UFR Math, University of Paris Diderot. Laboratoire: Institut de Mathématiques de Jussieu - Paris Rive Gauche. Equipe: Géométrie et Dynamique ERC Research Fellow, École Polytechnique ERC Post-Doc contract at CMAP, École Polytechnique, Paris - équipe INRIA GECO Supervisor: Ugo Boscain - Project ERC StG 2009 GeCoMethods education Ph.D. degree Master s degree Bachelor s degree SISSA, Trieste, Italy Ph.D. in Applied Mathematics, SISSA, Trieste, 27 Oct Thesis: Invariants, Volumes and Heat Kernels in Sub-Riemannian Geometry. Supervisor: Andrei Agrachev Università di Trieste and SISSA, Trieste, Italy Master s Degree in Mathematics, Università degli Studi di Trieste, 18/07/08. Diploma Percorso Formativo Comune, SISSA, Trieste. 110/110 cum laude. Thesis: Sub-Riemannian structures on three dimensional Lie groups. Supervisor: Andrei Agrachev Università di Bologna, Bologna, Italy Bachelor s Degree in Mathematics, Università degli Studi di Bologna, 21/07/ /110 cum laude. Thesis: Spazi di Carnot-Caratheodory. Supervisor: Ermanno Lanconelli fellowships and awards Prime d Encadrement Doctoral et de Recherche (PEDR) SISSA Lutman Prize for the Best Ph.D. Thesis in Mathematics SISSA Ph.D. Fellowship SISSA Diploma Percorso Formativo Comune Fellowship Istituto Nazionale di Alta Matematica Fellowship. main research interests Sub-Riemannian Geometry, Curvature and Hypoelliptic Heat Kernel, Measure contraction properties. Geometric Control Theory, Affine control systems.

2 publications On the Hausdorff volume in sub-riemannian geometry (with A. Agrachev and U. Boscain). Calculus of Variations and PDE s, 43 (), no. 3-4, Sub-Riemannian structures on 3D Lie groups (with A. Agrachev). Journal of Dynamical and Control Systems (), v.18, Trace heat kernel asymptotics in 3D contact sub-riemannian geometry. Journal of Mathematical Sciences, 195 (2013), no. 3, On 2-step, corank 2 sub-riemannian metrics (with U. Boscain and J.P. Gauthier). SIAM, Journal of Control and Optimization, 50 (), no. 1, Small time asymptotics for heat kernel at the sub-riemannian cut locus (with U. Boscain and R.W. Neel). Journal of Differential Geometry, 92 (), no.3, Small time heat kernel asymptotics at cut-conjugate points on 2-spheres of revolution (with J. Jendrej). Ann. Inst. Henri Poincaré-Anal. Non Linéaire 31 (), pp An explicit formula for the Popp volume in sub-riemannian geometry (with L. Rizzi). Analysis and Geometry in Metric Spaces, 1 (), Geometry of Maslov cycles (with A. Lerario). Geometric Control Theory and Sub-Riemannian Geometry, Springer INDAM Series, vol. 5 (). Comparison theorems for conjugate points in sub-riemannian geometry (with L. Rizzi). To appear on ESAIM Control Opt. Calc. Var. monographs and books A. Agrachev, D. Barilari and L. Rizzi, Curvature: a variational approach. To appear on Memoirs AMS. 120 pages. A. Agrachev, D. Barilari and U. Boscain, Introduction to Riemannian and sub-riemannian geometry, 341 pages. In preparation. preprints On the heat diffusion at the cut locus for generic Riemannian and sub-riemannian structures (with U.Boscain, G.Charlot and R.Neel). Submitted. Preprint ArXiv. Sub-Riemannian curvature in contact geometry (with A. Agrachev, L. Rizzi). Submitted. Preprint ArXiv. On Jacobi fields and canonical connection in sub-riemannian geometry (with L. Rizzi). Submitted. Preprint ArXiv. Sub-Finsler geometry from the time-optimal control viewpoint for some nilpotent distributions (with U. Boscain, E. Le Donne and M. Sigalotti). Submitted. Preprint ArXiv. in preparation 16. Measure contraction properties in sub-riemannian geometry (with L. Rizzi). research visits University of Sofia, Bulgaria, November (1 week) Università di Bologna, Italy, June (1 week), Februrary (1 week) Université de Nice, Nice, France, Feb 2013 (1 week), Jun 2013 (1 week) The Chinese University of Hong Kong, Hong Kong, Nov (2 weeks) Jyväskylä University, Jyväskylä, Finland, Oct (1 week) SISSA, Trieste, Italy, Nov, Feb (2 weeks), Apr-May (6 weeks) and May (1 week) 2

3 Lehigh University, Bethlehem, PA, USA, July (1 week) École Polytechnique, Paris, France, Jan 2010, Mar (2 weeks) Université du Sud Toulon-Var, Toulon, France, Sept 2009 (2 weeks), Apr and Jun (1 week) invited course in conferences Rencontres Mathématiques de Rouen, Rouen, June. Minicourse on Introduction to geodesics in sub-riemannian geometry (3h) invited talks in conferences Workshop Geometry and Optimal Transportation, Montpellier, June. Volume distortion along geodesics and curvature in sub-riemannian geometry Geometric Analysis in sub-riemannian manifolds, IHP, Paris, Sept. Sub-Riemannian curvature: a variational approach Analysis & Geometry in Control Theory and Applications, Rome, Jun. Comparison theorems for conjugate points in sub-riemannian geometry International Youth Conference Geometry & Control, Moscow, Apr,. Heat kernel small time asymptotics at the cut locus in Riem. and SR geometry Mathematical Control in Trieste, Trieste, Dec 2013 Curvature for affine optimal control problems Nonlinear Control: geometric approach and applications, Firenze, Apr 2013 Curvature for affine control systems and sub-riemannian geometry Sub-Riemannian geometry and PDE s, Levico Terme, July INDAM Meeting on Geometric Control and Sub-Riemannian Geometry, Cortona, May ERC Workshop on Geometric Analysis on sub-riemannian and Metric Spaces, Pisa, Oct. Invariants and heat kernels in 3D contact sub-riemannian manifolds 25th IFIP Conference on System Modeling and Optimization, Berlin, Sept Workshop on Nonlinear Control and Singularities, Porquerolles, Oct 2010 invited seminars 2013 Séminire de Géométrie, Université de Tours, May. Courbure en géométrie (sous)-riemannienne Seminario di Analisi Matematica Bruno Pini, Università di Bologna, Feb. Sub-Riemannian geometry and hypoelliptic heat equation Séminaire d algèbre d operateurs, Université Paris Diderot - Paris 7, Oct. Géométrie sous-riemannienne et équation de la chaleur hypo-elliptique. Séminaire de géometrie, Université Paris Diderot - Paris 7, France, March. Géométrie sous-riemannienne et équation de la chaleur hypo-elliptique. Partie I et II. Séminaire EDP, Université Paris Sud - Paris 11, Orsay, France, Nov 2013 Münich University, Geometry Oberseminar, Germany, May 2013 Université de Nice, Séminaire de Géométrie et Analyse, France, Feb 2013 Jyväskylä University, Geometry seminar, Finland, Nov 3

4 Journée Contrôle optimal Géométrie et Transport, Dijon, Sept Courbure et géométrie sous-riemannienne Université Paris 7, Paris, France, May L equation de la chaleur en géométrie sous-riemannienne Université Paris 6, Paris, France, May Problème sous-riemannien: géométrie, optimalité et diffusion Seminaire de géométrie sous-riemannienne, IHP, Paris, Mar Geometry and heat equation on sub-riemannian manifolds Université de Paris-Est Créteil, Séminaire Doctorants, Paris, France, Feb Sub-Riemannian geometry and sub-riemannian heat equation Institut Fourier, Seminaire d Analyse, Grenoble, Dec L2S, Supélec, Université de Paris-Sud, Paris, March The intrinsic volume in sub-riemannian geometry (and applications to image reconstruction) scientific activity -present Organizer of the Séminaire de géométrie sous-riemannienne, IHP, Paris (with P. Pansu) /16 : webusers.imj-prg.fr/~davide.barilari/seminar.php /15 : webusers.imj-prg.fr/~davide.barilari/seminar.php 2013/14 : webusers.imj-prg.fr/~davide.barilari/seminar2013.php /13 : webusers.imj-prg.fr/~davide.barilari/seminar.php Co-organizer of the IHP Trimester on Geometry, Analysis and Dynamics on sub-riemannian manifolds (with. A. Agrachev, U. Boscain, M. Sigalotti, F. Jean, L. Rifford, Y. Chitour), Sept 1-Dec 14,. Website: Member of the Program Committee of the International Youth Conference Geometry & Control,in Moscow, Apr,. Co-organizer of the INDAM Meeting on Geometric Control and Sub-Riemannian Geometry, Cortona, May. (with U. Boscain, D. Prandi, A.Sarychev, M. Sigalotti, G. Stefani) Website: supervision activity Ayoub Lasri, Stage L3, Université Paris Diderot, Feb-May. Controlabilité et contrôle optimale. Jacek Jendrej, Stage M1 Thesis at École Polytechnique, Apr-Jul. Prix du Centre de Recherche - Ecole Polytechnique, Promotion 2009 Small time heat kernel asymptotics at a cut-conjugate point on 2-spheres of revolution. scientific and administrative activity -present Member of the Conseil Scientifique Université Paris Diderot - Paris 7. UFR Mathématiques. Member of the MCF hiring committee, Géométrie et Dynamique. Université Paris Diderot - Paris 7. UFR Mathématiques. editorial activity Editor of the Lecture notes of the IHP Trimester on Geometry, Analysis and Dynamics on sub-riemannian manifolds (with. U. Boscain and M. Sigalotti) 4

5 -present Referee for the Journals: Proceedings AMS - Discrete and Continuous Dynamical Systems, Series A - Communications in Contemporary Mathematics - Geometriae Dedicata - SIAM Journal on Control and Optimization - ESAIM COCV Control, Optimisation and Calculus of Variations - Journal of Dynamical and Control Systems - Communications in Pure and Applied Analysis - Note di Matematica - SIGMA. teaching at université paris diderot /16 / /14 Cours/TD for Analyse Elementaire II L1Math (81 h) TD for Équations Différentielles, L3Math (36 h) Cours and TD for Équations Différentielles pour biologistes, L2Bio (43,5h) TD for Géométrie Différentielles, M1Math (36 h) Cours/TD for Analyse Elementaire II L1Math (81 h) TD for Équations Différentielles, L3Math (39 h) Cours and TD for Équations Différentielles pour biologistes, L2Bio (31,5h) Cours/TD for Analyse Elementaire II L1Math (98 h) TD for Équations Différentielles, L3Math (54 h) other teaching / / /09 ENSTA-ParisTech, Paris. TD for Systèmes Dynamiques: Stabilité et Commande, L3Math (15 h) Università di Trieste, Mathematics Department. Tutoring for Linear Algebra, L1Math (50 h) Tutoring for Affine, Euclidean and Projective Geometry, L1Math (50 h) Università di Trieste, Mathematics Department. Tutoring for Affine, Euclidean and Projective Geometry, L1Math (50 h) popularization activity Lecture Pi greco, da Archimede a Riemann, Liceo Malpighi, Bologna, 04/06/ Collaboration for Notte dei Ricercatori - SISSA, Trieste, 23/09/ Math Olympiads, Coppa Aurea - Training, Università degli Studi di Trieste Preparation of problems and lectures to high school students. Math Olympiads, Local competition, Università degli Studi di Bologna Preparation of problems and lectures on solutions. other information Computer Skills Basic knowledge of HTML and PHP. Good knowledge of Windows (Microsoft Office) and Apple operative systtems. Everyday use of LaTeX and Mathematica software. Languages English Advanced (conversationally fluent) Italian Mothertongue French Advanced (C1.1 level, Institut de Rambouillet, ) July 11, 5