Curriculum Vitae of Enea Parini

Transcription

1 Curriculum Vitae of Enea Parini Personal data Name, surname: Enea Parini Date of birth: Place of birth: Magenta (Italy) Nationality: italian Gender: male Languages spoken: Italian (native), English, French, German (proficient), Dutch, Spanish (basics) Current academic affiliation: I2M, Aix-Marseille Université address: Positions held september present: Assistant Professor ( Maître de Conférences ) at the I2M - Aix-Marseille Université. feb august 2012: Research and teaching assistant ( A.T.E.R ) at the Ceremade - University Paris-Dauphine. nov jan 2011: Research and teaching assistant at the University of Cologne, in the group of Prof. Bernd Kawohl. sep nov 2009: Ph.D. student at the University of Cologne, Germany. School and academic career feb 2011: Qualification as Maître de Conférences (France) - Section 25 (Mathematics) and Section 26 (Applied Mathematics). sep nov 2009: Ph.D. in Mathematics at the University of Cologne, Germany. Thesis in November 2009 under the guidance of Prof. Bernd Kawohl about Asymptotic behaviour of higher eigenfunctions of the p-laplacian as p goes to 1. Final mark: 1,0 ( magna cum laude ). sep sep 2006: Master in Mathematics at the Università degli studi 1

2 di Milano, Italy. In 2005/06 I spent nine months at the University of Cologne, Germany, as an Erasmus student. Thesis in September 2006 under the guidance of Prof. Bernd Kawohl (Cologne) and Prof. Bernhard Ruf (Milan) about Cheeger sets in the non-convex case. Final mark: 110/110 con lode ( cum laude ). sep sep 2004: Bachelor in Mathematics at the Università degli studi di Milano, Italy. Thesis in September 2004 under the guidance of Prof. Massimo Tarallo about Alcuni risultati di biforcazione ( Some results about bifurcation theory ). Final mark: 110/110 con lode ( cum laude ). Research interests My research interests are focussed on nonlinear partial differential equations, optimal constants for functional embeddings, and isoperimetric problems. Teaching activity Second semester 2007/08 - Second semester 2009/10: Exercise classes for courses related to the sector Mathematical Analysis. First semester 2010/11: Assistant for the course Mathematics for Information Systems (Prof. Bernd Kawohl). Second semester 2010/11: Exercise classes for the course Linear Algebra 2. First semester 2011/12: Exercise classes for the course Linear Algebra 1. Second semester 2011/12: Exercise classes for the courses Analysis 2 and Convex Analysis. First semester 2012/13: Course and exercices of Introduction to Analysis. Second semester 2012/13: Course and exercices of Linear Algebra 1 and Mathematics for Biology. First semester 2013/14: Course and exercices of Introduction to Analysis. Second semester 2013/14: Course and exercices of Mathematics for Biology. Scientific visits : visit at the Dipartimento di Matematica F.Brioschi - Politecnico di Milano, Milan (Italy) : visit at the Technische Universität Dresden (Germany) : visit at the Departamento de Matemáticas - Universidad Autónoma de Madrid, Madrid (Spain) : visit at the University of Texas at Austin (USA) : visit at the Université de Toulouse 1 - Capitole. 2

3 : visit at the Goethe-Universität Frankfurt (Germany) : visit at the Dipartimento di Matematica - Università di Pisa (Italy) : visit at the Goethe-Universität Frankfurt (Germany). Talks given (upon invitation) AMS Eastern Sectional Meeting, New York (U.S.A.), th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen (Germany), Workshop on Topological and Variational Methods for PDEs, Oberwolfach (Germany), Institutsseminar Technische Universität Dresden (Germany), Seminari di Analisi Nonlineare, Università degli Studi di Milano (Italy), Workshop on Optimal constants in the theory of Sobolev spaces and PDEs, Oberwolfach (Germany), XX Conferenza Nazionale di Calcolo delle Variazioni, Levico Terme (Italy), Séminaires d Analyse non linéaire, Université Catholique de Louvain-la- Neuve (Belgium), Groupe de Travail Calcul des Variations, Ceremade, Université Paris- Dauphine (France), Séminaire d Analyse Appliquée A3, LAMFA, Université de Picardie, Amiens (France), DMV-Tagung (Conference of the German Mathematical Union), Köln (Germany), Séminaire MIP, Institut Mathématique de Toulouse (France), GT Calcul des Variations, CMAP, Ecole Polytechnique, Palaiseau (France), Analysis Seminar, University of Texas at Austin (USA), Séminaires de l équipe EDPs, LAMA, Université de Savoie, Chambéry (France), Séminaires d Analyse Appliquée, LATP, Université de Marseille (France),

4 Séminaires du CeReMath, Université de Toulouse 1 - Capitole (France), Quasilinear equations and singular problems, Tours (France), (poster). AG-Seminar Differentialgleichungen, Frankfurt (Germany), Seminari di Calcolo delle Variazioni e Analisi Geometrica, Università di Pisa (Italy), Cologne Conference on Nonlinear Differential Equations, Cologne (Germany), Journées Nice-Toulon-Marseille, Porquerolles (France), Grants I was awarded INdAM (Istituto Nazionale di Alta Matematica) grants for attendance of the Bachelor ( ) and of the Master ( ). Between April and September 2007 I was a fellow of the DFG-Graduiertenkolleg Global Structures in Geometry and Analysis. Editorial activity Referee for Mathematical Methods in the Applied Sciences, Nonlinear Analysis, Archiv der Mathematik, Proceedings of the Royal Society of Edinburgh - Section A, Applied Matematics Letters, Applied Mathematics and Computations, Experimental Mathematics, Milan Journal of Mathematics and some conference proceedings. Reviewer for Mathematical Reviews. Reporter ( Berichterstatter ) for the Oberwolfach Report 08/2010. Publications [1] Christopher Grumiau, Enea Parini, On the asymptotics of solutions of the Lane-Emden problem for the p-laplacian, Archiv der Mathematik 91 (2008), [2] Enea Parini, Athanasios Stylianou, On the positivity preserving property of hinged plates, SIAM Journal on Mathematical Analysis 41 (2009), [3] Enea Parini, The second eigenvalue of the p-laplacian as p goes to 1, International Journal of Differential Equations (2010), Article ID , 23 pp. [4] Fernando Charro, Enea Parini, Limits as p of p-laplacian problems 4

5 with a superdiffusive power-like nonlinearity: positive and sign-changing solutions, Journal of Mathematical Analysis and Applications 372 (2010), [5] Enea Parini, Continuity of the variational eigenvalues of the p-laplacian with respect to p, Bulletin of the Australian Mathematical Society 83 (2011), [6] Fernando Charro, Enea Parini, Limits as p of p-laplacian eigenvalue problems perturbed with a concave or convex term, Calculus of Variations and Partial Differential Equations 46 (2013), [7] Enea Parini, Bernhard Ruf, Cristina Tarsi, The eigenvalue problem for the 1-biharmonic operator, to appear in: Annali della Scuola Normale Superiore di Pisa. [8] Enea Parini, Nicolas Saintier, Shape derivative of the Cheeger constant, to appear in: ESAIM Control, Optimisation and Calculus of Variations. [9] Lorenzo Brasco, Erik Lindgren, Enea Parini, The fractional Cheeger problem, submitted paper. [10] Enea Parini, Bernhard Ruf, Cristina Tarsi, Higher-order functional inequalities related to the 1-biharmonic operator, submitted paper. [11] Enea Parini, Tobias Weth, Existence, unique continuation and symmetry of least energy nodal solutions to sublinear Neumann problems, submitted paper. [12] Fernando Charro, Enea Parini, On the existence threshold for positive solutions of p-laplacian equations with a concave-convex nonlinearity, submitted paper. [13] Enea Parini, Optimal shape for an isoperimetric quantity related to Cheeger s inequality, submitted paper. 5