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Curriculum Vitae of Enea Parini - LATP

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<strong>Curriculum</strong> <strong>Vitae</strong> <strong>of</strong> <strong>Enea</strong> <strong>Parini</strong><br />

Name, surname: <strong>Enea</strong> <strong>Parini</strong><br />

Date <strong>of</strong> birth: 06.02.1983<br />

Place <strong>of</strong> birth: Magenta (Italy)<br />

Nationality: italian<br />

Gender: male<br />

Languages spoken: Italian (native), English, French, German (pr<strong>of</strong>icient),<br />

Dutch, Spanish (basics)<br />

Current academic affiliation: <strong>LATP</strong>, Université Aix-Marseille<br />

Email address: enea.parini@latp.univ-mrs.fr<br />

Positions held<br />

september 2012 - present: Assistant Pr<strong>of</strong>essor (“Maître de Conférences“) at<br />

the <strong>LATP</strong> - Université Aix-Marseille.<br />

feb 2011 - august 2012: Research and teaching activity (“A.T.E.R”) at the<br />

Ceremade - University Paris-Dauphine.<br />

nov 2009 - jan 2011: Research and teaching activity at the University <strong>of</strong><br />

Cologne, in the group <strong>of</strong> Pr<strong>of</strong>. Bernd Kawohl.<br />

sep 2006 - nov 2009: Ph.D. student at the University <strong>of</strong> Cologne, Germany.<br />

School and academic career<br />

feb 2011: Qualification as “Maître de Conférences” (France) - Section 25<br />

(Mathematics) and Section 26 (Applied Mathematics).<br />

sep 2006 - nov 2009: Ph.D. in Mathematics at the University <strong>of</strong> Cologne,<br />

Germany. Thesis in November 2009 under the guidance <strong>of</strong> Pr<strong>of</strong>. Bernd Kawohl<br />

about ”Asymptotic behaviour <strong>of</strong> higher eigenfunctions <strong>of</strong> the p-Laplacian as p<br />

goes to 1”. Final mark: 1,0 (”magna cum laude”).<br />

sep 2004 - sep 2006: Master in Mathematics at the Università degli studi<br />

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di Milano, Italy. In 2005/06 I spent nine months at the University <strong>of</strong> Cologne,<br />

Germany, as an Erasmus student. Thesis in September 2006 under the guidance<br />

<strong>of</strong> Pr<strong>of</strong>. Bernd Kawohl (Cologne) and Pr<strong>of</strong>. Bernhard Ruf (Milan) about<br />

”Cheeger sets in the non-convex case”. Final mark: 110/110 ”con lode” (”cum<br />

laude”).<br />

sep 2001 - sep 2004: Bachelor in Mathematics at the Università degli studi di<br />

Milano, Italy. Thesis in September 2004 under the guidance <strong>of</strong> Pr<strong>of</strong>. Massimo<br />

Tarallo about ”Alcuni risultati di biforcazione” (”Some results about bifurcation<br />

theory”). Final mark: 110/110 ”con lode” (”cum laude”).<br />

sep 1996 - jul 2001: High school degree at the Liceo scientifico ”D.Bramante”<br />

in Magenta, Italy. Final mark: 100/100.<br />

Research interests<br />

My research interests are focussed on nonlinear partial differential equations,<br />

optimal constants, and isoperimetric problems.<br />

Teaching activity<br />

Second semester 2007/08 - Second semester 2009/10: Exercise classes for courses<br />

related to the sector ”Mathematical Analysis”.<br />

First semester 2010/11: Assistant for the course ”Mathematics for Information<br />

Systems” (Pr<strong>of</strong>. Bernd Kawohl).<br />

Second semester 2010/11: Exercise classes for the course “Linear Algebra 2”.<br />

First semester 2011/12: Exercise classes for the course “Linear Algebra 1”.<br />

Second semester 2011/12: Exercise classes for the courses “Analysis 2” and<br />

“Convex Analysis”.<br />

First semester 2012/13: Course and exercices <strong>of</strong> “Introduction to Analysis”.<br />

Participation at schools and workshops<br />

• Qualitative Properties <strong>of</strong> Solutions to Elliptic and Parabolic Equations,<br />

Saariselkä (Finland), 7-10.6.2007.<br />

• Spring school in nonlinear partial differential equations, Louvain-la-Neuve<br />

(Belgium), 26-30.5.2008.<br />

• Summer School ”PDE from Geometry”, Köln (Germany), 21-25.7.2008.<br />

• First Winter School at IMDEA on PDEs and Inequalities, Madrid (Spain),<br />

25-30.1.2009.<br />

• Indam School on symmetry for elliptic PDEs (30 years after a conjecture<br />

<strong>of</strong> De Giorgi and related problems), Roma (Italy), 25-29.5.2009.<br />

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• Spring School in Nonlinear Partial Differential Equations, Brussels (Belgium),<br />

17-21.5.2010.<br />

• Semaine d’Etude Maths-Entreprises, Paris (France), 4-8.4.2011.<br />

• Higher order equations in Geometry and Physics, Trieste (Italy), 30.5.-<br />

2.6.2011.<br />

• Quasilinear equations and singular problems, Tours (France), 4-6.6.2012.<br />

Scientific visits<br />

• 3-7.11.2008: visit at the Dipartimento di Matematica ”F.Brioschi” - Politecnico<br />

di Milano, Milan (Italy).<br />

• 2-4.12.2009: visit at the Technische Universität Dresden (Germany).<br />

• 19-23.7.2010: visit at the Departamento de Matemáticas - Universidad<br />

Autónoma de Madrid, Madrid (Spain).<br />

• 16-27.1.2012: visit at the University <strong>of</strong> Texas at Austin (USA).<br />

• 27.2-2.3.2012: visit at the Université de Toulouse 1 - Capitole.<br />

Talks given (upon invitation)<br />

• AMS Eastern Sectional Meeting, New York (U.S.A.), 15-16.3.2008.<br />

• 79th Annual Meeting <strong>of</strong> the International Association <strong>of</strong> Applied Mathematics<br />

and Mechanics (GAMM), Bremen (Germany), 31.3-4.4.2008<br />

• Workshop on ”Topological and Variational Methods for PDEs”, Oberwolfach<br />

(Germany), 17-23.5.2009.<br />

• Institutsseminar Technische Universität Dresden (Germany), 3.12.2009.<br />

• Seminari di Analisi Nonlineare, Università degli Studi di Milano (Italy),<br />

14.1.2010.<br />

• Workshop on ”Optimal constants in the theory <strong>of</strong> Sobolev spaces and<br />

PDEs”, Oberwolfach (Germany), 7-13.2.2010.<br />

• XX Conferenza Nazionale di Calcolo delle Variazioni, Levico Terme (Italy),<br />

22-26.2.2010.<br />

• Séminaires d’Analyse non linéaire, Université Catholique de Louvain-la-<br />

Neuve (Belgium), 27.4.2010.<br />

• Groupe de Travail “Calcul des Variations”, Ceremade, Université Paris-<br />

Dauphine (France), 14.3.2011.<br />

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• Séminaire d’Analyse Appliquée A3, LAMFA, Université de Picardie, Amiens<br />

(France), 16.5.2011.<br />

• DMV-Tagung (Conference <strong>of</strong> the German Mathematical Union), Köln<br />

(Germany), 22.9.2011.<br />

• Séminaire MIP, Institut Mathématique de Toulouse (France), 6.12.2011.<br />

• GT Calcul des Variations, CMAP, Ecole Polytechnique, Palaiseau (France),<br />

14.12.2011.<br />

• Analysis Seminar, University <strong>of</strong> Texas at Austin (USA), 25.1.2012.<br />

• Séminaires de l’équipe EDPs, LAMA, Université de Savoie, Chambéry<br />

(France), 10.2.2012.<br />

• Séminaires d’Analyse Appliquée, <strong>LATP</strong>, Université de Marseille (France),<br />

21.2.2012.<br />

• Séminaires du CeReMath, Université de Toulouse 1 - Capitole (France),<br />

2.3.2012.<br />

• Quasilinear equations and singular problems, Tours (France), 4-6.6.2012<br />

(poster).<br />

Grants<br />

• I was awarded INdAM (Istituto Nazionale di Alta Matematica) grants for<br />

attendance <strong>of</strong> the Bachelor (2001-2004) and <strong>of</strong> the Master (2004-2006).<br />

• Between April and September 2007 I was a fellow <strong>of</strong> the DFG-Graduiertenkolleg<br />

“Global Structures in Geometry and Analysis”.<br />

Editorial activity<br />

• Referee for ”Mathematical Methods in the Applied Sciences”, ”Nonlinear<br />

Analysis”, ”Archiv der Mathematik”, “Proceedings <strong>of</strong> the Royal Society<br />

<strong>of</strong> Edinburgh - Section A”.<br />

• Reporter (”Berichterstatter”) for the Oberwolfach Report 08/2010.<br />

List <strong>of</strong> publications<br />

[1] Christopher Grumiau and <strong>Enea</strong> <strong>Parini</strong>. On the asymptotics <strong>of</strong> solutions<br />

<strong>of</strong> the Lane-Emden problem for the p-Laplacian. Archiv der Mathematik,<br />

91:354–365, 2008.<br />

[2] <strong>Enea</strong> <strong>Parini</strong> and Athanasios Stylianou. On the positivity preserving property<br />

<strong>of</strong> hinged plates. SIAM Journal on Mathematical Analysis, 41:2031–2037,<br />

2009.<br />

4


[3] <strong>Enea</strong> <strong>Parini</strong>. The second eigenvalue <strong>of</strong> the p-Laplacian as p goes to 1. International<br />

Journal <strong>of</strong> Differential Equations. Article ID 984671, 23 pp.,<br />

2010.<br />

[4] Fernando Charro and <strong>Enea</strong> <strong>Parini</strong>. Limits as p → ∞ <strong>of</strong> p-Laplacian problems<br />

with a superdiffusive power-type nonlinearity: positive and sign-changing<br />

solutions. Journal <strong>of</strong> Mathematical Analysis and Applications, 372:629–644,<br />

2010.<br />

[5] <strong>Enea</strong> <strong>Parini</strong>. An introduction to the Cheeger problem. Surveys in Mathematics<br />

and its Applications, 6:9–22, 2011.<br />

[6] <strong>Enea</strong> <strong>Parini</strong>. Continuity <strong>of</strong> the variational eigenvalues <strong>of</strong> the p-Laplacian<br />

with respect to p. Bulletin <strong>of</strong> the Australian Mathematical Society, 83:376–<br />

381, 2011.<br />

[7] Fernando Charro and <strong>Enea</strong> <strong>Parini</strong>. Limits as p → ∞ <strong>of</strong> p-laplacian eigenvalue<br />

problems perturbed with a concave or convex term. To appear in: Calculus<br />

<strong>of</strong> Variations and Partial Differential Equations.<br />

[8] <strong>Enea</strong> <strong>Parini</strong>, Bernhard Ruf, and Cristina Tarsi. The eigenvalue problem<br />

for the 1-biharmonic operator. To appear in: Annali della Scuola Normale<br />

Superiore di Pisa.<br />

[9] <strong>Enea</strong> <strong>Parini</strong>. Two balloons in a box: regularity results for an isoperimetric<br />

problem with volume constraints. In preparation.<br />

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