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
E-mail: [email protected]
Web page: http://gpleo.altervista.org/index.html
• EDUCATION
? 01/01/1995 – 07/12/1998. PhD in Mathematics, Dipartimento di Matematica, Università di Trento (Italy).
? 01/10/1989 – 28/06/1994. 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
? 01/11/2001 – 01/11/2005. Assistant Professor, Dipartimento di Metodi e Modelli
Matematici, Università di Padova (Italy).
• FELLOWSHIPS AND RESEARCH CONTRACTS
? 01/05/2004 – 30/07/2004. CNRS Research Contract, Lab. J.L.Lions, University of
Paris VI (France).
? 06/05/2003 – 06/06/2003. TMR Research Contract, Lab. J.L.Lions, University of
Paris VI (France).
? 01/06/2002 – 01/09/2002. CNRS Research Contract, Lab. J.L.Lions, University of
Paris VI (France).
? 01/10/2001 – 01/03/2002. CNR Fellowship, Dep. de Mathematiques, University of
Paris XI - Orsay (France).
? 01/07/1999 – 30/06/2001. Post-doctoral fellowship, Dipartimento di Matematica,
Università di Trento (Italy).
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VISITING SCHOLARSHIPS
Departamento de Geometrı́a y Topologı́a - Univ. Granada (May 2013 - one month).
Department Mathematik - Universität Erlangen (February 2013 - one week).
Zentrum Mathematik - Technische Universität München (February 2013 - one week).
Max Planck Institute Mathematik - Leipzig (May-June 2012 - one week).
Laboratoire J.-A.Dieudonné - Univ. Nice Sophia Antipolis (April 2011 - one week).
Department Mathematik - Freie Universität Berlin (June-July 2008 - two months).
Department of Mathematics - University of Helsinki (May 2007 - two weeks).
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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 2013.
? 30/06/2014 – 04/07/2014. Member of the jury for PhD defense of Efstratios Vernadakis, University of Granada (Spain).
? 18/06/2012 – 22/06/2012. 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).
? 09/05/2013 – 02/06/2013. Professor - PhD course on the regularity theory for Lambdaminimizers of the perimeter at the Department of Geometry and Topology - University
of Granada (Spain).
? 18/06/2012 – 22/06/2012. Professor - PhD course on quantitative isoperimetric inequalities at the Department of Geometry and Topology - University of Granada (Spain).
? 21/05/2012 – 25/05/2012. Professor - PhD course on quantitative isoperimetric inequalities at the Max Planck Institute - Leipzig (Germany).
? 21/03/2011 – 25/03/2011. Professor - Short Course on quantitative isoperimetric
inequalities at the Institute Camille Jordan - University of Lyon 1 (France), for the Rencontres d’Analyse 2011.
? 01/11/2001 – 01/11/2005. Lecturer - Courses: Calculus 1, Calculus 2 at the University
of Padova (Italy).
? 01/10/1998 – 01/11/2001. Lecturer - Courses: Calculus 1, Calculus 2 at the University
of Trento (Italy).
• ORGANISATION OF SCIENTIFIC MEETINGS AND COURSES
? 15/02/2007 – 17/02/2007. 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 2010. 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.
CURRICULUM VITAE
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• 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)
? (2014 - June) Talk at the Nuclear Physics Institute, Czech Academy of Sciences Prague (Czech Republic). Title: The Cheeger problem for non-convex domains.
? (2014 - May) Talk at the Math Department of the University of Jÿvaskÿla (Finland).
Title: The Cheeger problem: an overview.
? (2014 - April) Talk at the Math Department of the University of Ferrara. Title: Properties of Cheeger sets in non-convex domains.
? (2014 - 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.
? (2013 - September) Invited speaker at the workshop “New trends in shape optimization” (Erlangen - Germany). Title of the talk: The Cheeger problem in planar domains.
? (2013 - May) Talk at the Department of Geometry and Topology, Univ. Granada,
entitled Stability inequalities for perimeter-minimizing clusters
? (2013 - February) “Giornate di lavoro su Calcolo delle Variazioni e Teoria Geometrica
della Misura” (Levico Terme). Title of the talk: Stability inequalities for perimeterminimizing clusters.
? (2012 - 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.
? (2011 - 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.
? (2010 - November) Talk at the Math Department, University of Firenze: A Selection
Principle for quantitative isoperimetry.
? (2010 - June) Talk at the University of Trento: A variational approach to quantitative
isoperimetry.
? (2010 - 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.
? (2010 - 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.
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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:1409.1376 (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 2013.
? LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Corners in nonequiregular sub-Riemannian manifolds, preprint arXiv:1403.2356 (2013), accepted
on ESAIM COCV (2014).
? LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Extremal polynomials in stratified groups, preprint arXiv:1307.5235 (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. 13711401 (2013).
? CICALESE M., LEONARDI G.P., Best constants for the isoperimetric inequality
in quantitative form, J. Eur. Math. Soc. (JEMS), Vol.15 (3), pp. 1101-1129
(2013).
? CICALESE M., LEONARDI G.P., MAGGI F., Sharp stability inequalities for
planar double bubbles, preprint arXiv:1211.3698 (2012).
? CICALESE M., LEONARDI G.P., A Selection Principle for the sharp quantitative isoperimetric inequality, Arch. Rational Mech. Anal. 206, pp. 617-643
(2012).
? LEONARDI G.P., Un nuovo approccio alle disuguaglianze isoperimetriche quantitative. Bruno Pini Mathematical Analysis Seminar, [S.l.]. ISSN 2240-2829
(2011)
? LEONARDI G.P., RIGOT S., VITTONE D., Isodiametric sets in the Heisenberg
group, Rev. Mat. Iberoam. 28 (2012), no. 4, 999-1024.
? LEONARDI G.P., MAGNANI V., Intersections of intrinsic submanifolds in the
Heisenberg group, J. Math. Anal. Appl., 378(1):98-108 (2011).
? LEONARDI G.P., MASNOU S., Locality of the mean curvature of rectifiable
varifolds, Adv. Calc. Var., Vol 2 (1), pp. 17-42 (2009).
? LEONARDI G.P., MONTI R., End-point equations and regularity of abnormal
sub-Riemannian geodesics, Geom. Funct. Anal. (GAFA), Vol. 18 (2), pp.
552-582 (2008)
? LEONARDI G.P., TILLI P., On a constrained variational problem in the vector–
valued case, J. Math. Pures Appl., Vol. 85 (2), pp. 251-268 (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. 533–553 (2005).
? LEONARDI G.P., RIGOT S., Isoperimetric sets on Carnot groups. Houston J.
Math. vol. 29 (3), pp. 609-637 (2003).
CURRICULUM VITAE
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? LEONARDI G.P., Gamma-Convergence of constrained Dirichlet functionals.
Boll. Unione Matematica Italiana, Vol. 6-B (8), pp. 339-351 (2003).
? LEONARDI G.P., TAMANINI I., Metric spaces of partitions and Caccioppoli
partitions. Adv. Math. Sci. Appl., Vol. 12 (2), pp. 725-753 (2002).
? LEONARDI G.P., Partitions with prescribed mean curvatures. Manuscripta
Math., Vol. 107, pp. 111-133 (2002).
? LEONARDI G.P., Infiltrations in immiscible fluids systems, Proc. Roy. Soc.
Edinburgh, 131A, pp. 425-436 (2001).
? LEONARDI G.P., Blow-up of oriented boundaries, Rend. Sem. Mat. Univ.
Padova, 103, pp. 211–232 (2000).
? LEONARDI G.P. - TAMANINI I., On minimizing partitions with infinitely many
components, Ann. Univ. Ferrara - Sez. VII - Sc. Mat., Vol. XLIV, pp. 41-57
(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, 2011. GLOBECOM 2011.
IEEE.
? MERANI M.L., LEONARDI G.P., SALADINO D., Taking Advantage of Social
Network Relationships in P2P Streaming Overlays, Global Telecommunications
Conference, 2009. GLOBECOM 2009. IEEE.
? MERANI M.L., LEONARDI G.P., SALADINO D., Scalability and Peer Churning in IP-TV: an Analytical Insight, Global Telecommunications Conference,
2009. GLOBECOM 2009. 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 19–
22 (2006)