CURRICULUM VITAE GIAN PAOLO LEONARDI

Transcription

1 CURRICULUM VITAE GIAN PAOLO LEONARDI PERSONAL INFORMATION Family name, First name: Leonardi, Gian Paolo Date and place of birth: 18 November 1970, Modena (Italy) Family status: married, with two children ECAS ID: nlegianp Web page: EDUCATION 01/01/ /12/1998. PhD in Mathematics, Dipartimento di Matematica, Università di Trento (Italy). 01/10/ /06/1994. Degree in Mathematics, University of Modena (Italy). CURRENT POSITION 01/11/2005 today. Assistant Professor, Dipartimento di Scienze Fisiche, Informatiche e Matematiche (FIM), Università di Modena e Reggio Emilia (Italy). PREVIOUS POSITION 01/11/ /11/2005. Assistant Professor, Dipartimento di Metodi e Modelli Matematici, Università di Padova (Italy). FELLOWSHIPS AND RESEARCH CONTRACTS 01/05/ /07/2004. CNRS Research Contract, Lab. J.L.Lions, University of 06/05/ /06/2003. TMR Research Contract, Lab. J.L.Lions, University of 01/06/ /09/2002. CNRS Research Contract, Lab. J.L.Lions, University of 01/10/ /03/2002. CNR Fellowship, Dep. de Mathematiques, University of Paris XI - Orsay (France). 01/07/ /06/2001. Post-doctoral fellowship, Dipartimento di Matematica, Università di Trento (Italy). VISITING SCHOLARSHIPS Departamento de Geometría y Topología - Univ. Granada (May one month). Department Mathematik - Universität Erlangen (February one week). Zentrum Mathematik - Technische Universität München (February one week). Max Planck Institute Mathematik - Leipzig (May-June one week). Laboratoire J.-A.Dieudonné - Univ. Nice Sophia Antipolis (April one week). Department Mathematik - Freie Universität Berlin (June-July two months). Department of Mathematics - University of Helsinki (May two weeks). 1

2 2 GIAN PAOLO LEONARDI SUPERVISION OF GRADUATE AND PHD STUDENTS 01/11/2008 today. Supervision of 5 Degree theses and 3 Master theses in Mathematics, and currently co-directing a PhD thesis at the University of Lyon 1 (France). Note that the PhD program at the University of Modena and Reggio Emilia was stopped from 2009 to /06/ /07/2014. Member of the jury for PhD defense of Efstratios Vernadakis, University of Granada (Spain). 18/06/ /06/2012. Member of the jury for PhD defense of Matteo Galli, University of Granada (Spain). TEACHING ACTIVITIES 01/11/2005 today. Professor - Courses: Calculus 1, Calculus 2, Functional Analysis, Partial Differential Equations, Measure Theory and Integration, given at the University of Modena and Reggio Emilia (Italy). 09/05/ /06/2013. Professor - PhD course on the regularity theory for Lambdaminimizers of the perimeter at the Department of Geometry and Topology - University of Granada (Spain). 18/06/ /06/2012. Professor - PhD course on quantitative isoperimetric inequalities at the Department of Geometry and Topology - University of Granada (Spain). 21/05/ /05/2012. Professor - PhD course on quantitative isoperimetric inequalities at the Max Planck Institute - Leipzig (Germany). 21/03/ /03/2011. Professor - Short Course on quantitative isoperimetric inequalities at the Institute Camille Jordan - University of Lyon 1 (France), for the Rencontres d Analyse /11/ /11/2005. Lecturer - Courses: Calculus 1, Calculus 2 at the University of Padova (Italy). 01/10/ /11/2001. Lecturer - Courses: Calculus 1, Calculus 2 at the University of Trento (Italy). ORGANISATION OF SCIENTIFIC MEETINGS AND COURSES 15/02/ /02/2007. Main organiser of the Focus Meeting on Geometric Measure Theory and Least-Area Problems, University of Modena and Reggio Emilia (with lectures by G. David, N. Fusco, F. Morgan, M. Ritoré). Co-organiser of the Minicourses in Analysis, University of Padua (editions 2003, 2004, 2005). DISSEMINATION Since 2005, regular organisation of a Soap Bubble Laboratory for high school students at the FIM, which is part of an Italian program (Progetto Lauree Scientifiche) aimed at promoting scientific studies in Mathematics, Physics and Chemistry. September Participation to the Researcher s Night in Trento (Italy) with a soap bubble laboratory (with Prof. Italo Tamanini, Univ. Trento). 14/02/2007. Public conference on soap bubbles and soap films at the University of Modena and Reggio Emilia (with Prof. Frank Morgan, Williams College - USA). The conference has been shown on a local TV network.

3 CURRICULUM VITAE 3 ACTIVE COLLABORATIONS (collaborator; subject) Marco Cicalese, Technische Universitaet Muenchen (Germany); isoperimetric problems. Enrico Le Donne, University of Jÿvaskÿla (Finland); sub-riemannian geometry. Francesco Maggi, University of Texas at Austin (Texas, USA); isoperimetric problems. Simon Masnou, University of Lyon 1 (France); theory of varifolds. Roberto Monti, University of Padova (Italy); sub-riemannian geometry. Aldo Pratelli, University of Erlangen (Germany); isoperimetric problems. Severine Rigot, University of Nice (France); sub-riemannian geometry. Manuel Ritoré, University of Granada (Spain); isoperimetric problems Davide Vittone, University of Padova (Italy); sub-riemannian geometry. INVITED PRESENTATIONS (SELECTION 2010 TODAY) ( June) Talk at the Nuclear Physics Institute, Czech Academy of Sciences - Prague (Czech Republic). Title: The Cheeger problem for non-convex domains. ( May) Talk at the Math Department of the University of Jÿvaskÿla (Finland). Title: The Cheeger problem: an overview. ( April) Talk at the Math Department of the University of Ferrara. Title: Properties of Cheeger sets in non-convex domains. ( January) Giornate di lavoro su Calcolo delle Variazioni e Teoria Geometrica della Misura (Levico Terme - Italy). Title of the talk: Properties of Cheeger sets in non-convex domains. ( September) Invited speaker at the workshop New trends in shape optimization (Erlangen - Germany). Title of the talk: The Cheeger problem in planar domains. ( May) Talk at the Department of Geometry and Topology, Univ. Granada, entitled Stability inequalities for perimeter-minimizing clusters ( February) Giornate di lavoro su Calcolo delle Variazioni e Teoria Geometrica della Misura (Levico Terme). Title of the talk: Stability inequalities for perimeterminimizing clusters. ( July) Invited speaker at the workshop Geometric Inequalities in Calculus of Variations (De Giorgi Center, Pisa - Italy). Title of the talk: Quantitative stability for perimeter-minimising clusters. ( June) Invited speaker at the Summer School Calculus of variations, continuum mechanics and geometric inequalities. Title of the talk: A new approach to quantitative isoperimetric inequalities. ( November) Talk at the Math Department, University of Firenze: A Selection Principle for quantitative isoperimetry. ( June) Talk at the University of Trento: A variational approach to quantitative isoperimetry. ( March) Invited speaker at the conference New trends in Sub-Riemannian Geometry (Nice - France). Title of the talk: A regularity result for strictly abnormal minimisers. ( February) Giornate di lavoro su Calcolo delle Variazioni e Teoria Geometrica della Misura (Levico Terme - Italy). Title of the talk: Su una congettura di Hall per la disuguaglianza isoperimetrica quantitativa.

4 4 GIAN PAOLO LEONARDI MAIN PUBLICATIONS AND PREPRINTS CICALESE M., LEONARDI G.P., MAGGI F., Improved convergence theorems for bubble clusters. I. The planar case, preprint cvgmt.sns.it (2014). LEONARDI G.P., RITORÉ M., VERNADAKIS E., Isoperimetric inequalities in unbounded convex bodies, in preparation (2014). LEONARDI G.P., PRATELLI A., On the Cheeger sets in strips and non-convex domains, preprint arxiv: (2014). LEONARDI G.P., An overview on the Cheeger problem, to appear on the Proceedings of the conference New trends in shape optimization held in Erlangen, September LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Corners in nonequiregular sub-riemannian manifolds, preprint arxiv: (2013), accepted on ESAIM COCV (2014). LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Extremal polynomials in stratified groups, preprint arxiv: (2013). LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Extremal curves in nilpotent Lie groups, Geom. Funct. Anal. (GAFA), Vol. 23 (4), pp (2013). CICALESE M., LEONARDI G.P., Best constants for the isoperimetric inequality in quantitative form, J. Eur. Math. Soc. (JEMS), Vol.15 (3), pp (2013). CICALESE M., LEONARDI G.P., MAGGI F., Sharp stability inequalities for planar double bubbles, preprint arxiv: (2012). CICALESE M., LEONARDI G.P., A Selection Principle for the sharp quantitative isoperimetric inequality, Arch. Rational Mech. Anal. 206, pp (2012). LEONARDI G.P., Un nuovo approccio alle disuguaglianze isoperimetriche quantitative. Bruno Pini Mathematical Analysis Seminar, [S.l.]. ISSN (2011) LEONARDI G.P., RIGOT S., VITTONE D., Isodiametric sets in the Heisenberg group, Rev. Mat. Iberoam. 28 (2012), no. 4, LEONARDI G.P., MAGNANI V., Intersections of intrinsic submanifolds in the Heisenberg group, J. Math. Anal. Appl., 378(1): (2011). LEONARDI G.P., MASNOU S., Locality of the mean curvature of rectifiable varifolds, Adv. Calc. Var., Vol 2 (1), pp (2009). LEONARDI G.P., MONTI R., End-point equations and regularity of abnormal sub-riemannian geodesics, Geom. Funct. Anal. (GAFA), Vol. 18 (2), pp (2008) LEONARDI G.P., TILLI P., On a constrained variational problem in the vector valued case, J. Math. Pures Appl., Vol. 85 (2), pp (2006). LEONARDI G.P., MASNOU S., On the isoperimetric problem in the Heisenberg group H n, Ann. Mat. Pura Appl. (4) 184, n.4, pp (2005). LEONARDI G.P., RIGOT S., Isoperimetric sets on Carnot groups. Houston J. Math. vol. 29 (3), pp (2003).

5 CURRICULUM VITAE 5 LEONARDI G.P., Gamma-Convergence of constrained Dirichlet functionals. Boll. Unione Matematica Italiana, Vol. 6-B (8), pp (2003). LEONARDI G.P., TAMANINI I., Metric spaces of partitions and Caccioppoli partitions. Adv. Math. Sci. Appl., Vol. 12 (2), pp (2002). LEONARDI G.P., Partitions with prescribed mean curvatures. Manuscripta Math., Vol. 107, pp (2002). LEONARDI G.P., Infiltrations in immiscible fluids systems, Proc. Roy. Soc. Edinburgh, 131A, pp (2001). LEONARDI G.P., Blow-up of oriented boundaries, Rend. Sem. Mat. Univ. Padova, 103, pp (2000). LEONARDI G.P. - TAMANINI I., On minimizing partitions with infinitely many components, Ann. Univ. Ferrara - Sez. VII - Sc. Mat., Vol. XLIV, pp (1998). LEONARDI G.P., Optimal subdivisions of n-dimensional domains, Ph.D. thesis (Trento, 1998). OTHER PUBLICATIONS LEONARDI G.P., Il mistero isoperimetrico di Zenodoro (Zenodorus isoperimetric mystery), preprint (2014). MERANI M.L., LEONARDI G.P., SALADINO D., A Model to Seize the Instantaneous Performance of P2P Streaming Platforms: Simulative and Experimental Validation, Global Telecommunications Conference, GLOBECOM IEEE. MERANI M.L., LEONARDI G.P., SALADINO D., Taking Advantage of Social Network Relationships in P2P Streaming Overlays, Global Telecommunications Conference, GLOBECOM IEEE. MERANI M.L., LEONARDI G.P., SALADINO D., Scalability and Peer Churning in IP-TV: an Analytical Insight, Global Telecommunications Conference, GLOBECOM IEEE CIATTI P., GONZALEZ E.H., LANZA M., LEONARDI G.P. (editors), Topics in Mathematical Analysis, World Scientific Publisher (2008). LEONARDI G.P., PARONETTO F., PUTTI M., Effective anisotropy tensor for the numerical solution of flow problems in heterogeneous porous media, Proc. CMWR XVI International Conference, Copenhagen, Denmark, June (2006)