D AV I D E B A R I L A R I personal information Born in Cattolica (RN), Italy - 07 November 1984 email davide.barilari@imj-prg.fr website webusers.imj-prg.fr/ davide.barilari phone +33 1 57 27 91 02 work experience Present position PostDoc 2013 present Maître de Conférence, Université Paris Diderot From Sept 2013: tenured position, University Paris Diderot, UFR Math. Laboratoire: Institut de Mathématiques de Jussieu - Paris Rive Gauche. Équipe: Géométrie et Dynamique 2011-2013 ERC Research Fellow, École Polytechnique ERC-CNRS PostDoc 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 2008-2011 SISSA, Trieste, Italy Ph.D. in Applied Mathematics, SISSA, Trieste, defended on Oct 27, 2011 Thesis: Invariants, Volumes and Heat Kernels in Sub-Riemannian Geometry. Supervisor: Andrei Agrachev 2006-2008 Università di Trieste & SISSA, Trieste, Italy Master s Degree in Mathematics, Università degli Studi di Trieste, July 18, 2008. Diploma Percorso Formativo Comune, SISSA, Trieste. 110/110 cum laude. Thesis: Sub-Riemannian structures on three-dimensional Lie groups. Supervisor: Andrei Agrachev 2003-2006 Università di Bologna, Bologna, Italy Bachelor s Degree in Mathematics, Università degli Studi di Bologna, 21/07/06. 110/110 cum laude. Thesis: Spazi di Carnot-Caratheodory. Supervisor: Ermanno Lanconelli fellowships and awards -2018 2008-2011 2006-2008 2003-2006 Prime d Encadrement Doctoral et de Recherche (PEDR) SISSA Lutman Prize for the Best Ph.D. Thesis in Mathematics SISSA Ph.D. Fellowship SISSA Percorso Formativo Comune Fellowship for Master in Mathematics INDAM Fellowship for Bachelor s Degree in Mathematics.
main research interests Riemannian and Sub-Riemannian Geometry, Geometric Control Theory, Hamiltonian systems, Hypoelliptic Heat equation, Curvature and measure contraction properties. monographs and books 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. A. Agrachev, D. Barilari and U. Boscain, Introduction to Riemannian and sub-riemannian geometry, In preparation. 385 pages. http://www.imj-prg.fr/~davide.barilari/notes.php A. Agrachev, D. Barilari and L. Rizzi, Curvature: a variational approach. Memoirs of the AMS, in press. 120 pages. A. Agrachev, D. Barilari and U. Boscain, Introduction to geodesics in sub-riemannian geometry, EMS Series Lecture Notes, in press. 83 pages. accepted papers On the Hausdorff volume in sub-riemannian geometry (with A. Agrachev and U. Boscain). Calculus of Variations and PDE s, 43 (), no. 3-4, 355-388. Sub-Riemannian structures on 3D Lie groups (with A. Agrachev). Journal of Dynamical and Control Systems (), v.18, 21-44. Trace heat kernel asymptotics in 3D contact sub-riemannian geometry. Journal of Mathematical Sciences, 195 (2013), no. 3, 391-411. On 2-step, corank 2 sub-riemannian metrics (with U. Boscain and J.P. Gauthier). SIAM, Journal of Control and Optimization, 50 (), no. 1, 559-582. 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, 373-416. 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. 281-295. An explicit formula for the Popp volume in sub-riemannian geometry (with L. Rizzi). Analysis and Geometry in Metric Spaces, 1 (), 42-57. 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). ESAIM: COCV 22 (2) 439-472 Sub-Riemannian curvature in contact geometry (with A. Agrachev, L. Rizzi). The Journal of Geometric Analysis (), doi:10.1007/s12220-016-9684-0. On the heat diffusion at the cut locus for generic Riemannian and sub-riemannian structures (with U.Boscain, G.Charlot and R.Neel). Int. Math. Res. Not., to appear. Sub-Finsler geometry from the time-optimal control viewpoint for some nilpotent distributions (with U. Boscain, E. Le Donne and M. Sigalotti). Journal of Dynamical and Control Systems, to appear. submitted papers and preprints 15. 16. 17. 18. On Jacobi fields and canonical connection in sub-riemannian geometry (with L. Rizzi). Submitted. Preprint ArXiv. Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators (with E. Paoli). Submitted. Preprint ArXiv. Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics (with A. Agrachev and E. Paoli). Preprint ArXiv. Heat kernel asymptotics on sub-riemannian manifolds with symmetries and 2
applications to the bi-heisenberg group (with U. Boscain and R.W. Neel). Preprint ArXiv. proceedings 19. 20. Time-Optimal Synthesis for Three Relevant Problems: The Brockett Integrator, the Grushin Plane and the Martinet Distribution (with U. Boscain, E. Le Donne, M. Sigalotti). Proceeding of the 54th IEEE CDC, Osaka, Japan, Dec. Asymptotiques en temps petit du noyau de la chaleur des métriques riemanniennes et sous-riemanniennes (with U.Boscain, G.Charlot and R.Neel). Actes du séminaire de Théorie spectrale et géométrie, Grenoble, Volume 31 (-), 55-70. research teams and projects -present Member of the ANR project SRGI Sub-Riemannian geometry and interactions (P.I. Emmanuel Trélat) Contract number ANR-15-CE40-0018 research visits Leibniz Universität Hannover, Germany, Oct (1 week) [W.Baouer] University of Sofia, Bulgaria, Nov (1 week) [S.Ivanov] Florida Atlantic University, FL, USA, Sept (2 weeks) [E.Lundberg & A.Lerario] SISSA, Trieste, Italy, Nov 2011, Feb (2 weeks), Apr-May (6 weeks), May (1 week), Oct (1 week), July [A.Agrachev] Università di Bologna, Italy, June (1 week), Feb (1 week) [B.Franchi & A.Bonfiglioli] Université de Nice, Nice, France, Feb 2013 (1 week), Jun 2013 (1 week) [L.Rifford] The Chinese University of Hong Kong, Hong Kong, Nov (2 weeks) [P.W.Y.Lee] Jyväskylä University, Jyväskylä, Finland, Oct (1 week) [E.Le Donne] Lehigh University, Bethlehem, PA, USA, July 2011 (1 week) [R.Neel] École Polytechnique, Paris, France, Jan 2010, Mar 2011 (2 weeks) [U.Boscain] Université du Sud Toulon-Var, Toulon, France, Sept 2009 (2 weeks), Apr 2011 and Jun (1 week) [J.P.Gauthier] invited graduate courses and colloquiums Mathematics-Physics Colloquium, Leibniz Universität Hannover, Oct. From thermodynamics to image reconstruction: an invitation to SR geometry Mathematical Sciences Colloquium, Florida Atlantic University, Sept. The geometry of the isoperimetric problem and beyond Rencontres Mathématiques de Rouen, Rouen, June. Minicourse on Introduction to geodesics in sub-riemannian geometry (3h) invited talks in conferences Singular phenomena and singular geometry, Pisa, Oct. Geometric Analysis in Control & Vision, Bergen-Voss, Norway, May. Three days in evolution PDE s, Salerno, Italy, April Geometry and Optimal Transportation, Montpellier, June. Geometric Analysis in sub-riemannian manifolds, IHP, Paris, Sept. Analysis & Geometry in Control Theory and Applications, Rome, Jun. 3
2013 2011 2010 International Youth Conference Geometry & Control, Moscow, 14-18 Apr,. Mathematical Control in Trieste, Trieste, Dec 2013 Nonlinear Control: geometric approach and applications, Firenze, Apr 2013 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 2011. 25th IFIP Conference on System Modeling and Optimization, Berlin, Sept 2011 Workshop on Nonlinear Control and Singularities, Porquerolles, Oct 2010 invited seminars 2013 2011 Journée Autour du laplacien sous-riemannien, Grenoble, Oct. Geometry and Control seminar, SISSA, July. Séminaire de géometrie, Université Paris Diderot - Paris 7, France, Jun. Séminire de Géométrie Hamiltonienne, University Paris 6, Feb. Analysis and Applications seminar, Florida Atlantic University, Sep. Séminire de Géométrie, Université de Tours, May. Seminario di Analisi Matematica Bruno Pini, Università di Bologna, Feb. Séminaire d algèbre d operateurs, Université Paris Diderot - Paris 7, Oct. Séminaire de géometrie, Université Paris Diderot - Paris 7, France, Mar. Séminaire EDP, Université Paris Sud - Paris 11, Orsay, France, Nov 2013 Münich University, Geometry Oberseminar, Germany, May 2013 Séminaire de Géométrie et Analyse, Université de Nice, France, Feb 2013 Jyväskylä University, Geometry seminar, Finland, Nov Journée Contrôle optimal Géométrie et Transport, Dijon, Sept Seminaire de géométrie sous-riemannienne, IHP, Paris, Mar Séminaire Doctorants, Université de Paris-Est Créteil, Paris, France, Feb Institut Fourier, Seminaire d Analyse, Grenoble, Dec 2011 L2S-Supélec, Université de Paris-Sud, Paris, March 2011 organization of scientific events -present Organizer of the Séminaire de géométrie sous-riemannienne, IHP, Paris (with P. Pansu) /17 : webusers.imj-prg.fr/~davide.barilari/seminar.php /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: http://www.cmap.polytechnique.fr/subriemannian/ Member of the Program Committee of the International Youth Conference Geometry & Control, Moscow, 14-18 Apr,. Website: http://gc.mi.ras.ru/index_e.html Co-organizer of the INDAM Meeting on Geometric Control and 4
Sub-Riemannian Geometry, Cortona, May. (with U. Boscain, D. Prandi, A.Sarychev, M. Sigalotti, G. Stefani) Website: http://www.cmap.polytechnique.fr/geometric-control-srg/ supervision activity from Sept /17 /17 Mathieu Kohli, PhD Thesis, Université Paris Saclay, from Sept. (co-advised with Ugo Boscain 50%) Francesco Boarotto, PostDoc contract, Université Paris Saclay, from Sept. (co-advised with Ugo Boscain 50%) Tuteur de Daniele Cannarsa for the M1 PGSM International, Year /17. Mathieu Kohli, Stage M2, Université Paris Sud, Feb-Jun. Géométrie sous-riemannienne et courbure du groupe de bi-heisenberg. Fabien Giudicelli, Stage L1, Université Paris Diderot, Jun. L inégalité isopérimétrique dans le plan. Ayoub Lasri, Stage L3, Université Paris Diderot, Feb-May. Controlabilité et contrôle optimale. Jacek Jendrej, Stage M1, 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. participation at jury and hiring committee 2017 Referee and jury member for the PhD Thesis of Stefano Biagi Università di Bologna Referee and jury member for the PhD Thesis of Pavel Silveira, SISSA, Trieste. Comparison results for fat sub-riemannian structures and Linear Quadratic optimal control problems 26/10/. Member of the MCF hiring committee, Géométrie et Dynamique. Université Paris Diderot - Paris 7. May administrative service -present -present -present Member of the Commission Pédagogique of UFR Math (nommé) Université Paris Diderot - Paris 7. Member of the Comité de Prospective et Recrutement of IMJ-PRG (nommé) Université Paris Diderot - Paris 7 Elected member of the Conseil Scientifique of UFR Math (titulaire) Université Paris Diderot - Paris 7. editorial activity 2011-present Editor of the EMS Series of Lecture notes (with. U. Boscain and M. Sigalotti) IHP Trimester on Geometry, Analysis and Dynamics on sub-riemannian manifolds. Volume I and II. Referee for more than 20 international journals (Math. Z - JIMJ - JMPA - Trans AMS - JGP - Proc AMS - DCDS A - CCM - Geometriae Dedicatae - COCV - CPAA - etc.) teaching at université paris diderot /17 Cours for Équations Différentielles, L3Math (36 h) Cours and TD for Équations Différentielles pour biologistes, L2Bio (56h) 5
TD for Géométrie Différentielles, M1Math (36 h) Préparation à l oral du CAPES (15h) /16 /15 2013/14 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 (44h) 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 (32h) Cours/TD for Analyse Elementaire II L1Math (98 h) TD for Équations Différentielles, L3Math (54 h) other teaching experiences /13 2009/10 2008/09 ENSTA-ParisTech, Paris. Tutoring 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 Participation as Jury member to Tournoi Français de Jeunes Mathématiciennes et Mathématiciens, Paris Ecole Centrale, Paris, 16/04/ Lecture Il mestiere del matematico oggi, Liceo Malpighi, Bologna, 02/03/ 2011 2008-2011 2006 Lecture Cos è una distanza? Dalla geometria Euclidea alla geometria sub-riemanniana, Liceo Malpighi, Bologna, 10/11/ Lecture Pi greco, da Archimede a Riemann, Liceo Malpighi, Bologna, 04/06/ Collaboration for Notte dei Ricercatori - SISSA, Trieste, 23/09/2011 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 Languages English Advanced (conversationally fluent) Italian Mothertongue French Advanced (C1.1 level, Institut de Rambouillet, ) September 9, 6