Curriculum Vitae - Gian Paolo Leonardi

CURRICULUM VITAE
GIAN PAOLO LEONARDI
• PERSONAL INFORMATION
Family name, First name: Leonardi, Gian Paolo
Date and place of birth: November 18th , 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).
• CURRENT RESEARCH INTERESTS
Variational problems and Geometric Measure Theory in Euclidean and sub-Riemannian geometry. The present interests include: (1) isoperimetric-type problems for sets and clusters, with
special focus on quantitative stability and on the Cheeger problem; (2) discrete varifolds: theory
and applications to geometric variational problems and image analysis; (3) Geometric measure
theory in sub-Riemannian spaces.
• FELLOWSHIPS AND RESEARCH CONTRACTS
? 01/05/2004 – 30/07/2004. CNRS Research Contract, Lab. J.L.Lions, University
(France).
? 06/05/2003 – 06/06/2003. TMR Research Contract, Lab. J.L.Lions, University
(France).
? 01/06/2002 – 01/09/2002. CNRS Research Contract, Lab. J.L.Lions, University
(France).
? 01/10/2001 – 01/03/2002. CNR Fellowship, Dep. de Mathematiques, University
- Orsay (France).
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of Paris VI
of Paris VI
of Paris VI
of Paris XI
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GIAN PAOLO LEONARDI
? 01/07/1999 – 30/06/2001. Post-doctoral fellowship, Dipartimento di Matematica, Università
di Trento (Italy).
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VISITING SCHOLARSHIPS
Department of Mathematics - Univ. Texas at Austin (March-April 2016).
Department of Mathematics - Univ. Texas at Austin (April 2015 - two weeks).
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).
• PROJECTS
? Spanish project MTM2013-48371-C2-1-P, entitled: Desigualdades geométricas. 01/01/2014 31/12/2016 (foreign member).
? PRIN 2010-2011: Calcolo delle Variazioni. 01/02/2013 - 01/02/2016 (member).
? PRIN 2008: Disuguaglianze e problemi variazionali in strutture metriche riemaniane e subriemaniane. 22/03/2010 - 22/09/2012 (member).
? PRIN 2006: Teoria geometrica della misura e problemi variazionali in strutture metriche riemaniane e subriemaniane. 09/02/2007 - 09/02/2009 (member).
? PRIN 2004: Calcolo delle Variazioni 1)Teoria geometrica della misura in spazi euclidei e in
gruppi di Carnot. 2)Funzionali di Ginzburg-Landau. 3)G-convergenza. 30/11/2004 - 30/11/2006
(member).
? PRIN 2002: Calcolo delle Variazioni: 1) teoria geometrica della misura in spazi euclidei ed in
gruppi di Carnot; 2) funzionali di Ginzburg-Landau. 16/12/2002 - 16/12/2004 (member).
? GNAMPA 2016: Variational problems and Geometric Measure Theory in metric spaces.
21/03/2016 (coordinator).
? GNAMPA 2015: Problemi isoperimetrici e Teoria Geometrica della Misura in spazi metrici.
12/03/2015 (member).
? GNAMPA 2014: Problemi di regolarità e di Teoria Geometrica della Misura in spazi metrici.
11/03/2014 (member).
? GNAMPA 2012: Problemi di evoluzione e Teoria Geometrica della Misura in spazi metrici.
09/05/2012 (member).
? GNAMPA 2011: Problemi geometrici, variazionali ed evolutivi in strutture metriche. 27/04/2011
(member).
? GNAMPA 2010: Problemi geometrici, variazionali ed evolutivi in strutture metriche. 30/03/2010
(coordinator).
? GNAMPA 2009: Metodi geometrici per analisi in spazi non Euclidei; spazi metrici doubling,
CURRICULUM VITAE
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gruppi di Carnot e spazi di Wiener. 01/03/2009 (member).
? GNAMPA 2008: Mappe, misure e calcolo nonlineare nei gruppi stratificati. 30/03/2008 (member).
• SUPERVISION OF GRADUATE AND PHD STUDENTS
? Supervision of 10 Degree theses and 5 Master theses in Mathematics.
? Currently supervising Giorgio Saracco’s PhD thesis (within the consortium between the Universities of Ferrara, Modena-Reggio Emilia, and Parma).
? Supervision of the PhD thesis of Blanche Buet (co-advised with Simon Masnou at the University of Lyon 1 - France; thesis defended on December 2014).
? 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
Courses for the Degree / Master in Mathematics:
? 01/11/2005 – today. Courses: Calculus 1, Calculus 2, Functional Analysis, Partial Differential
Equations, Measure Theory and Integration, given at the University of Modena and Reggio
Emilia (Italy).
? 01/11/2001 – 01/11/2005. Courses: Calculus 1, Calculus 2 at the University of Padova (Italy).
? 01/10/1998 – 01/11/2001. Courses: Calculus 1, Calculus 2 at the University of Trento (Italy).
PhD Courses:
? 2014–2015. Regularity theory for Lambda-minimizers of the perimeter, PhD in Mathematics
- University of Modena and Reggio Emilia. ? 09/05/2013 – 02/06/2013. Regularity theory for
Lambda-minimizers of the perimeter at the Department of Geometry and Topology - University
of Granada (Spain).
? 18/06/2012 – 22/06/2012. Quantitative isoperimetric inequalities, Departamento de Geometrı́a y Topologı́a - University of Granada (Spain).
? 21/05/2012 – 25/05/2012. Quantitative isoperimetric inequalities, Max Planck Institute Leipzig (Germany).
? 17/03/2011 – 18/03/2011. Quantitative isoperimetric inequalities, Rencontres d’Analyse 2011,
Institute Camille Jordan - University of Lyon 1 (France).
• ORGANIZATION OF SCIENTIFIC MEETINGS AND COURSES
? 15/02/2007 – 17/02/2007. 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).
? Minicourses in Analysis, University of Padua (editions 2003, 2004, 2005).
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GIAN PAOLO LEONARDI
• DISSEMINATION
? Since 2005, I propose a Soap Bubble Laboratory for high school students at my department,
sponsored by the italian project Progetto Lauree Scientifiche.
? February 2007. Public conference on soap bubbles and soap films at the University of Modena
and Reggio Emilia (joint with Prof. Frank Morgan, Williams College - USA).
? September 2010. Soap bubble Lab for the European Researcher’s Night in Trento.
? September 2015-2016. Soap Bubble Lab for the European Researchers’ Night in Modena.
• INVITED PRESENTATIONS (selection 2010 – today)
? (2017 - February) XXVII Convegno di Calcolo delle Variazioni e Teoria Geometrica della
Misura (Levico, TN). Title of the talk: Weak normal traces, super-reduced boundary, and an
application to the PMC equation
? (2016 - April) Talk at the Department of Mathematics - Carnegie Mellon Univ. Pittsburgh
(Pennsylvania, US). Title: Discrete varifolds: theory and applications
? (2016 - April) Talk at the Department of Mathematics - UT Austin (Texas, US). Title: Discrete varifolds: theory and applications
? (2015 - July) Talk at the summer school “Geometric Measure Theory and Calculus of Variations: Theory and Applications” held in Grenoble (France). Title: Towards a unified theory of
surface discretization.
? (2015 - April) Talk at the Department of Mathematics - UT Austin (Texas, US). Title: Cheeger
sets and capillarity.
? (2015 - January) Talk at the Institüt für Analysis - TU Dresden (Germany). Title: Cheeger
sets in strips and nonconvex domains.
? (2014 - December) Talk at the Department für Mathematik, University of Köln (Germany).
Title: Cheeger sets in strips and nonconvex domains.
? (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
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Misura” (Levico Terme). Title of the talk: Stability inequalities for perimeter-minimizing 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.
• MAIN PUBLICATIONS AND PREPRINTS
? CICALESE M., LEONARDI G.P., MAGGI F., Sharp stability inequalities for planar double
bubbles, accepted on Interfaces and Free Boundaries (2017).
? BUET B., LEONARDI G.P., MASNOU S., A varifold approach to surface approximation.
Submitted (2016)
? LEONARDI G.P., SARACCO G., On the prescribed mean curvature equation in weakly regular domains. Submitted (2016)
? LEONARDI G.P., RITORÉ M., VERNADAKIS E., Isoperimetric inequalities in unbounded
convex bodies. Submitted (2016)
? LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Extremal polynomials in stratified groups, accepted on Comm. Anal. and Geom. (2016).
? LEONARDI G.P., MAGGI F., Improved convergence theorems for bubble clusters. II. The
three-dimensional case. Accepted on Indiana Univ. Math. J. (2016)
? CICALESE M., LEONARDI G.P., MAGGI F., Improved convergence theorems for bubble
clusters. I. The planar case. Accepted on Indiana Univ. Math. J. (2016)
? BUET B., LEONARDI G.P., Recovering measures from approximate values on balls. Ann.
Acad. Sci. Fenn., 41, pp. 1-26 (2016)
? LEONARDI G.P., PRATELLI A., On the Cheeger sets in strips and non-convex domains,
Calc. Var. PDE, 55 (1), pp. 1-28 (2016).
? BUET B., LEONARDI G.P., MASNOU S., Discrete varifolds: a unified framework for discrete
approximations of surfaces and mean curvature, Proceedings SSVM 2015, LNCS volume 9087
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GIAN PAOLO LEONARDI
(2015).
? FRANCESCHI V., LEONARDI G.P., MONTI R., Quantitative isoperimetric inequalities in
Hn , Calc. Var. Partial Differential Equations, 54, pp. 3229-3239 (2015).
? BUET B., LEONARDI G.P., MASNOU S., Discrete varifolds and surface approximation,
Shape and Topological Optimization, 2014, RICAM.
? LEONARDI G.P., An overview on the Cheeger problem, New trends in shape optimization International Series of Numerical Mathematics, Birkhäuser, ISBN-13: 978-3319175621 (2015).
? LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Corners in non-equiregular
sub-Riemannian manifolds, ESAIM COCV, vol. 21 (3), pp. 625-634 (2015).
? LE DONNE E., LEONARDI G.P., MONTI R., VITTONE D., Extremal curves in nilpotent
Lie groups, Geom. Funct. Anal. (GAFA), Vol. 23 (4), pp. 1371-1401 (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., A Selection Principle for the sharp quantitative isoperimetric inequality, Arch. Rational Mech. Anal. 206, pp. 617-643 (2012).
? 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., Un nuovo approccio alle disuguaglianze isoperimetriche quantitative. Bruno
Pini Mathematical Analysis Seminar, [S.l.]. ISSN 2240-2829 (2011).
? 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).
? 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.
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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),
in Vedere la Matematica... alla maniera di Mimmo Luminati, Edizioni ETS, Pisa (2015).
? 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)
• AWARDS
? Séminaire Bourbaki (IHP - 19 marzo 2016).
Speaker: Ludovic Rifford.
Title: “Singulières minimisantes en géométrie sous-riemanniennes [d’après Hakavuori, Le Donne,
Leonardi, Monti...]”.