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FORMAZIONE
- Dottorato di Ricerca in Matematica, Università di Firenze, settembre 1993
- INdAM (Istituto Nazionale di Alta Matetmatica) Borsa di Studio per l’avviamento alla Ricerca, Università “ La Sapienza", Roma (marzo 1987 - ottobre1987) e Università di Firenze (novembre 1987 – ottobre 1988)
- C.N.R. (Consiglio Nazionale delle Ricerce) Borsa di Studio per studenti non laureati, novembre 1986 – febbraio 1987
- Laurea in Matematica, Università di Firenze, dicembre1986
POSIZIONI ACCADEMICHE
- Professore ordinario, Università di Firenze, novembre 2000 – presente
- Guest Professor, Charles University, Praga Repubblica Ceca, dicembre 2014 – presente
- Professore associato, Università di Firenze, novembre 1993 – ottobre 2000
- Ricercatore universitario, Università di Firenze, dicembre 1990 - ottobre 1993
PREMI
-Premio “Orazio Arena” 2023 assegnato dall’Unione Matematica Italiana
- “Honorary medal” della Società Matematica della Repubblica Ceca, 2023
- Premio “Luigi e Wanda Amerio” 2018 assegnato dall’Istituto Lombardo delle Scienze e delle Lettere
- Premio “Gaetano Fichera” 2014 assegnato dall’Unione Matematica Italiana
- “Commemorative Medal” assegnata dalla Facoltà di Matematica e Fisica della Charles University a Prague, 2014
- Premio di ricerca per giovani laureati della “Fondazione Francesco Severi”, 1990
CONFERENZE DI PRESTIGIO
- Jarnik’s Lecturer, apertura dell’anno accademico 2021/2022 della Facoltà di Matematica e Fisica della Charles University a Prague
- Conferenza su invito in occasione dell’ “Indam Day 2018”
- Conferenza plenaria al “XIX Congresso dell’Unione Matematica Italiana”, 2011
PROGETTI DI RICERCA FINANZIATI
- Principal Investigator del Progetto di Ricerca PRIN 2022 “Partial differential equations and related geometric-functional inequalities."
- Principal Investigator del Progetto di Ricerca PRIN 2017 “Direct and inverse problems for partial
differential equations: theoretical aspects and applications"
- Principal Investigator del Progetto di Ricerca PRIN 2015 “Partial differential equations and related analytic-geometric inequalities"
- Principal Investigator del Progetto di Ricerca PRIN 2012 “Elliptic and parabolic partial differential equations: geometric aspects, related inequalities, and applications"
- Principal Investigator del Progetto di Ricerca PRIN 2008 “Geometric aspects of partial differential
equations and related topics"
- Principal Investigator del Progetto di Ricerca PRIN 2006 “Partial differential equations and functional inequalities: quantitative aspects, geometric and qualitative properties, applications"
- Principal Investigator di Progetti di Ricerca GNAMPA dell’ INdAM (Istituto Nazionale di Alta Matematica) negli anni 2002, 2004, 2005, 2006, 2008, 2009
INCARICHI GESTIONALI
- Membro della “Commissione di autovalutazione e indirizzo” del DiMaI, Università di Firenze, 2013 – presente
- Membro della “Commissione Didattica” del DiMaI, Università di Firenze, 2022 – presente
- Direttore del “Dipartimento di Matematica e Applicazioni per l’Architettura”, Università di Firenze, novembre 2005 – ottobre 2008
- Membro del “Collegio dei Docenti" Dottorato di Ricerca in Matematica, Università di Firenze, 2000 – 2013 e 2019-presente
- Membro del “Collegio dei Docenti" Dottorato di Ricerca in Materiali and Strutture per l’Architettura, Università di Firenze, 2000 - 2011
- Membro del “Comitato dei Garanti" della Facoltà di Architettura, Università di Firenze, 2001 – 2014
ATTIVITA’ EDITORIALE
Membro del comitato di redazione delle riviste:
- Mathematische Nachrichten (2022 – presente)
- Applicable Analysis (2018 – presente)
- Necas Center lecture notes (2017– presente)
- Annali di Matematica Pura e Applicata (2007 – presente)
- Journal of Mathematical Analysis and Applications (2006 – presente)
- Proceedings of the Razmadze Mathematical Institute (2005 – presente)
CONFERENZE SU INVITO A CONVEGNI (dal 2010)
- “'Lavrentiev's phenomenon, approximation, and regularity”, Warsaw (Poland), November 2023
- “Stability of Functional Inequalities”, Madrid (Spain), October 2023
- “VIII Weekend on Variational Methods and Differential Equations”, Catania, September, 2023
- “Convex Geometry - Analytic Aspects”, Cortona, June 2023
- “Spring School on Analysis 2023”, Paseky (Czech Republic), June 2023
- “Incontri Scientifici in occasione dell'Assemblea UMI”, Bologna, May 2023
- “International Conference on Elliptic and Parabolic Problems”, Napoli, May 2023
- “Nonlinear PDEs in Cosenza”, Cosenza, May 2023
- “Abstract Measure Theory and Applications”, Napoli, March 2023
- “Calculus of Variations: Regularity Theory and Limiting Spaces”, Konstanz (Germany), March 2023
- “Nonlocal Equations: Analysis and Numerics 2023”, Bielefeld (Germany), March 2023
- “Recent trends in mathematical modeling”, Kacov (Czech Republic), December 2022
- “Geometric analysis and PDEs”, Sorrento, November 2022
- “International Workshop on Nonlinear Differential Problems”, Giardini Naxos, September 2022
- “Nonuniformly elliptic problems”, Warsaw (Poland), September 2022
- “Workshop on Analysis and PDEs”, Brighton (UK), June 2022
- “Nonlocal Equations: Analysis and Numerics”, Bielefeld (Germany), February 2022
- “Lubos60”, Zelezna Ruda (Czech Republic), September 2021
- Minisymposium “Geometric-functional inequalities and related topics” at the 8th European Congress of Mathematics, Portoroz (Slovenia), June 2021
- “2020 American Mathematica Society, Fall Central Virtual Sectional Meeting”, El Paso, September 2020
- “Shape optimization and isoperimetric and functional inequalities”, Levico, September 2019
- “Barcelona Analysis Conference”, Barcelona, June 2019
- “Singular Nonlinear Problems in Calculus of Variations and PDEs”, Napoli, June 2019
- “Nonlinear averaging and PDEs”, Levico, June 2019
- “One day workshop on PDEs”, Roma, May 2019
- “Weekend on variational methods and differential equations”, Catania, December 2018
- Special session “Nonlinear partial differential equations and related function spaces”, Joint Meeting UMI-SIMAI-PTM, Wroclaw (Poland), September 2018
- Workshop “Nonlinear Days in Frankfurt”, Francoforte (Germany), August 2018
- ICM 2018 Satellite Conference on Nonlinear Partial Differential Equations, Fortaleza (Brasil), July 2018
- Special session “Recent advances in approximation theory and operator theory”, AMS Sectional
Meeting, Columbus, Ohio (USA), March 2018
- Workshop “Analysis, Approximation theory, operator theory and their Interactions”, Columbus, Ohio (USA), March 2018
- Conference “New trends in Calculus of Variations and PDE’s”, Firenze-Montecatini, June 2017
- “International Conference on PDEs, Geometric Analysis and Functional Inequalities”, Sydney
(Australia), March 2017
- “Meeting of the Royal Spanish Mathematical Society (RSME)”, Zaragoza (Spain), January 2017
- Workshop, “Analysis on shapes of solutions to partial differential equations, Kyoto (Japan),
November 2016
- Workshop “Geometric and analytic inequalities”, Birs Centre, Banff (Canada), July 2016
- Conference “New trends in Calculus of Variations”, Accademia dei Lincei, Roma, May 2016
- “9th European Conference on Elliptic and Parabolic Problems”, Gaeta, May 2016
- Conference “Regularity theory for elliptic and parabolic systems and problems in continuum
mechanics”, Telc (Rep. Ceca), April 2016
- “2015 NIMS Hot Topics Workshop on Regularity Theory on Elliptic and Parabolic Equations”,
Seoul (South Korea), December 2015
- Workshop “Affine convex geometry”, Oaxaca (Mexico), September 2015
- Conference “Geometric Properties for Parabolic and Elliptic PDE's”, Palinuro, May 2015
- Meeting of the Western Section of the American Mathematical Society, Las Vegas, USA, April 2015
- Workshop “Regularity theory for elliptic and parabolic systems and problems in continuum
mechanics, Telc (Czech Republic), May 2014
- Conference "Analysis of Partial Differential Equations", Liverpool (U.K.), December 2013
- Program "Evolutionary equations", Institut Mittag-Leffler, Stoccolma (Svezia), November 2013
- "2° Weekend on Variational Methods and Differential Equations", Reggio Calabria, October 2013
- "Conference on convex geometry", Castro Urdiales (Spagna), September 2013
- Conference "Equadiff13", Prague (Czech Republic), August 2013
- Workshop “The p-Laplacian Operator and Applications”, Oberwolfach (Germania), February 2013
- Conference “Calculus of Variations and PDE”, Szczawnica (Polonia) July 2012
- “Workshop on geometric properties of solutions of nonlinear PDEs and their applications”, Banff
(Canada), July 2011
- Conference on "New Function Spaces in PDEs and Harmonic Analysis", Napoli (Italy), June 2011
- Conference “New trends in spectral theory and applications", Cardiff, December 2010
- Conference “ Topics in nonlinear PDE’s, Varenna, September 2010
-“St.Petersburg Conference in Spectral Theory", St.Petersburg (Russia), July 2010
- “International conference on the isoperimetric problem of queen Dido and its mathematical
ramifications", Carthage (Tunisia), May 2010
CORSI PRESSO SCUOLE INTERNZAIONALI A LIVELLO AVANZATO (dal 2010)
- Spring School “Nonlinear analysis, function spaces and applications (NAFSA)”, Prague (Czech
Republic), May-June 2022
- “School on nonlinear PDEs”, Warsaw (Poland), May 2022
- Spring School “Function spaces, embeddings and extrapolation”, Paseky (Czech Republic), May-June 2017
- “Seminar in Differential Equations”, Ostrov (Czech republic), May-June 2016
- Spring School “Nonlinear analysis, function spaces and applications (NAFSA)”, Trest (Czech
Republic), June 2014
- "Mini-courses in Analysis 2013", Padova, June 2013
- Summer school “Optimal mass transport and geometric inequalities", Kleinwalsertal (Austria),
September 2010
- Summer school on “Partial differential equations" Cortona, August 2010
ORGANIZZAZIONE DI CONVEGNI E SCUOLE INTERNZIONALI (dal 2010)
- “Partial differential equations and related functional inequalities" Accademia dei Lincei, Roma, September 2022
- CIME School “Geometric and analytic aspects of functional variational principles”, Cetraro, June-July 2022
- Workshop “Nonlinear elliptic and parabolic partial differential equations”, Levico, October 2021 (hybrid)
- Workshop “Nonlinear potential theoretic methods in partial differential equations”, Banff (Canada), September 2021 (online)
- Workshop “Analytic-Geometric inequalities and related topics”, Institut Mittag-Leffler, Stockholm (Sweden), May 2019
- Conference “Sobolev spaces and partial differential equations”, Accademia dei Lincei, Rome (Italy), May 2018
- Conference “Partial differential equations and related topics”, Alghero (Italy), September 2016
- Special session “Analisi reale e disuguaglianze funzionali”, 20th Congress of the Italian Mathematical Union, Siena (Italy), September 2015
- Equadiff 2013, Prague (Czech Republic), August 2013
- INdAM Workshop on “Geometric properties of solutions of partial differential equations” Cortona
(Italy), June 2011
- “Optimal constants in the theory of Sobolev spaces and PDE's", Oberwolfach (Germany), February 2010
INTERESSI DI RICERCA
Equazioni e sistemi ellittici non lineari. Regolarità delle soluzioni.
Problemi variazionali con condizioni di crescita non standard. Regolarità dei minimi.
Disuguaglianze di tipo Sobolev e teoremi di immersione collegati.
Disuguaglianze geometrico-funzionali.
Legenda
EDUCATION
- Ph.D. in Mathematics, University of Florence, September 1993
- INdAM (National Institute for High Mathematics) Fellowship for Starting Research, University “ La Sapienza", Rome (March 1987 - October 1987) and University of Florence (November 1987 - October1988)
- C.N.R. (National Research Council) Fellowship for Undergraduate Students, November 1986 -
February 1987
- Laurea in Mathematics, University of Florence, December 1986
ACADEMIC POSITIONS
- Full Professor, University of Florence, November 2000 – present
- Guest Professor (permanent), Charles University, Prague, Czech Republic, December 2014 – present
- Associate Professor, University of Florence, November 1993 - October 2000
- Assistant Professor, University of Florence, December 1990 - October 1993
AWARDS
-Prize “Orazio Arena” 2023 awarded by the Italian Mathematical Union
- Honorary medal of the Czech Mathematical Society, 2023
- Prize “Luigi e Wanda Amerio” 2018 awarded by Istituto Lombardo delle Scienze e delle Lettere
- Prize “Gaetano Fichera” 2014 awarded by the Italian Mathematical Union
- Commemorative Medal of the Faculty of Mathematics and Physics of Charles University in Prague, 2014
- Post-graduate research prize of “Fondazione Francesco Severi”, 1990
DISTINGUISHED INVITED TALKS
- Jarnik’s Lecturer, opening of the academic year 2021/2022 of the Faculty of Mathematics and Physics of Charles University in Prague
- Invited speaker, Indam Day, 2018
- Plenary speaker, “19-th Meeting of the Italian Mathematical Union”, 2011
GRANTS
- Principal Investigator of the PRIN Research Project “Partial differential equations and related geometric-functional inequalities." financed by MIUR (Italian Ministry of Education, University and Research). Total number of participants: 21 from several Italian institutions. Call: 2022
- Principal Investigator of the PRIN Research Project “Direct and inverse problems for partial
differential equations: theoretical aspects and applications" financed by MIUR (Italian Ministry of
Education, University and Research). Total number of participants: 32 from several Italian institutions. Call: 2017
- Principal Investigator of the PRIN Research Project “Partial differential equations and related
analytic-geometric inequalities" financed by MIUR (Italian Ministry of Education, University and
Research). Total number of participants: 10 from several Italian institutions. Call: 2015
- Principal Investigator of the PRIN Research Project “Elliptic and parabolic partial differential
equations: geometric aspects, related inequalities, and applications" financed by MIUR. Total number of participants: 22 from several Italian institutions. Call: 2012
- Principal Investigator of the PRIN Research Project “Geometric aspects of partial differential
equations and related topics" financed by MIUR. Total number of participants: 71 from several Italian institutions. Call: 2008
- Principal Investigator of the PRIN Research Project “Partial differential equations and functional
inequalities: quantitative aspects, geometric and qualitative properties, applications" financed by
- Principal Investigator of the Research Projects of GNAMPA, of INdAM, years 2002, 2004, 2005,
2006, 2008, 2009
OFFICES
- Member of “Commisione di autovalutazione e indirizzo” of the Department of Mathematics and
Informatics “U.Dini”, University of Florence, February 2013 – present
- Dean of the “Department of Mathematics and Applications to Architecture”, University of Florence, November 2005 – October 2008
- Member of “Collegio dei Docenti" of the Ph.D. in Mathematics, University of Florence, 2000 – 2013 and 2019-present
- Member of “Collegio dei Docenti" of the Ph.D. in Materials and Structures for Architecture, University of Florence, 2000 - 2011
- Member of “Comitato dei Garanti" of the Faculty of Architecture, University of Florence, 2001 – 2014
EDITORIAL ACTIVITIES
- Mathematische Nachrichten (2022 – present)
- Applicable Analysis (2018 – present)
- Necas Center lecture notes (2017– present)
- Annali di Matematica Pura e Applicata (2007 – present)
- Journal of Mathematical Analysis and Applications (2006 – present)
- Proceedings of the Razmadze Mathematical Institute (2005 – present)
INVITED TALKS AT CONFERENCES (since 2010)
COURSES AT INTERNATIONAL ADVANCED SCHOOLS (2010 – present)
ORGANIZATION OF INTERNATIONAL CONFERENCES AND SCHOOLS (since 2010)
RESEARCH INTERESTS
Nonlinear elliptic partial differential equations and systems. Regularity of solutions.
Variational problems under nonstandard growth conditions. Regularity of minimizers.
Sobolev type inequalities and related embedding theorems.
Geometric-functional inequalities.