Dottorato:
Ph.D. (Philosophy Doctor) in Mathematics, Courant Institute of Mathematical Sciences, New York University, N.Y. USA (1986).
Posizione Accademica:
Professore Ordinario, Università di Roma `Tor Vergata', Rome, Italy.
Campo di Ricerca:
Equazioni Differenziali alle Derivate Parziali, Analisi Non Lineare, Calcolo delle Variazioni, Analisi Geometrica e Conforme nello studio dei Vortici nelle Teorie dei Campi di Gauge.
Posizioni di Professore Visitatore presso i seguenti Istituti:
- Forschungsinstitute für Mathematik, E.T.H. -Zurich, Switzerland
-Université Catholique de Louvain-la-Nauve, Belgium
-Tata Institute of Fundamental Research, Bangalore, India
-Field Institute of Mathematical Sciences, Toronto Canada
-Mc Master University, Hamilton, Canada
-Max Planck Institute, Liepzig, Germany
-Max Planck Institute, Bonn, Germany
-The Chinese University of Hong-Kong,
-Peking University and the Academia Sinica, Peking China
-Honhzhou University, China;
-University of Meinz, Germany;
-Isaac Newton Institute Cambridge, UK;
-Pacific Institute for Fundamental Research Vancouver, Canada
-Courant Institute, New York University, N.Y. USA
-Seoul National University, Korea
-Rutgers University Dept. of Math. New Bronswick USA
-Bernoulli Center Lausanne Switzerland,
CRM Universite’ de Montreal, Montreal Canada
-Banff International Research Station for Mathematical Innovation and Discovery (BIRS), Canada.
-Universite' de Paris IV, Paris France
- Universite' de Paris Dauphine CEREMADE, Paris France
- Universite' de Cergy, Paris France
- SISSA, Trieste, Italy
- Centro Ennio de Giorgi, Pisa Italy.
-Taida Institute of Mathematical Sciences (TIMS), National Taiwan University in Taipei-TAIWAN.
-CUNY, New-York, USA.
-University of Minnesota, Minneapolis.
-NYU-Polytecnic Brooklyn, USA.
Studenti di Dottorato:
Roselli Paolo, Ricciardi Tonia, Bartolucci Daniele, Esposito Pierpaolo, Carosi Massimiliano. Fortini Roberto.
Conferenze e Simposia (relative al periodo: 2009 ad oggi)
-Speaker at the meeting: Lack of compactness in nonlinear problems : prospects and applications, CIRM-Luminy, Maseille France October 5-9, 2009.
-Speaker at the meeting:VIII Americas Conferente opn Differential Equations, Veracruz-Mexico Oct. 18-23, 2009.
-Speaker: Optimal Constants in the Theory of Sobolev Spaces and PDEs Mathematisches Forschungsinstitut Oberwolfach, Germany; Feb. 7-12, 2010.
-Organizer: Differential and topological problems in modern theoretical physics, SISSA Triesta Italy, April 26-30, 2010.
-Speakers: Women of Laplacian, Monopoli Italy, June 3rd-6th, 2010.
-Speaker: Variational and Topological Methods in Nonlinear Phenomena , Cortona (Italy) Sept. 20- 23, 2010.
-Speaker: Nonlinear Differential Equations, Verbania (Italy), Sept. 26-Oct. 1st, 2010.
-Organizer: Nonlinear phenomena: a view from Mathematics and Physics TIMS-National Taiwan University Taipei (Taiwan) January 10th -14th , 2011 .
-Speaker: Geometric and Nonlinear Analysis: meeting in Lorraine, Nancy (France), June 12-17, 2011.
-Speaker: A conferente in Honor of the 60th birthday of Chang-Shoy Lin, National Taiwan University Taipei, July 8-9, 2011.
-Speaker: International Conferente on Nonlinear Partial Differential Equations, Hefei (China) August 1-6, 2011.
-Speaker: Nonlinear PDE Days – Variatio Delectat Koln (Germany) October 4-5, 2011.
- Seminar Department of Mathematics, Granata-Spain March 27th, 2012.
-Speaker: "Fifteenth Riviere-Fabes Symposium on Analysis and PDE", Minneapolis Minnesota (USA) April 20-22, 2012.
- Speaker: 12th International Congress Mathematical Physics (section: PDE and Relativity)
Aalborg, (Denmark) 6-11 August 2012.
-Speaker: Workshop Nonlinear Differential Equations, Joao Pessoa Brazil 17- 22 August 2012.
- Plenary speaker: Problèmes de limites singulières pour les équations non linéaires aux dérivées partielles, CIRM-Luminy, Maseille France November 26-30, 2012.
-Speaker: Analytical aspects of Chern-Simons theory, CUNY New York, March 14th, 2013.
Conferenze e Simposia in programma nel prossimo futuro :
Partecipant as Member of Scientific Committee at the meeting: ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS, a Conference in Honour of the 60th Birthday of Nassif Ghoussoub.PACIFIC ISTITUTE FOR THE MATHEMATICAL SCIENCES, UBC-Vancouver Canada, July 7th-12th, 2013.
-Speaker: PARTIAL DIFFERENTIAL EQUATIONS, Mathematisches Forschungsinstitut Oberwolfach (MFO), Germany, August 4th-10th, 2013.
-Speaker: Conference on Qualitative and Geometric aspects of elliptic PDE’s.
CRM Barcelona Spain, September 2nd-6th, 2013.
Lista delle Pubblicazioni (relative al periodo: 2008 ad oggi)
1. Tarantello G. Selfdual Gauge Field Vortices: an analytical approach. PNLDE 72, Birkhauser Boston, Inc. Boston MA 2008.
2. J. Dalbeault, M.J. Esteban, G. Tarantello: The role of Onofri type inequalities in the symmetry properties of extremals for the Caffarelli-Kohn-Nirenberg inequality in two space dimensions. Ann. Sc. Normale Pisa 5 vol. VII(2008), 313-341.
3. Tarantello G. On some elliptic problems in the study of selfdual Chern-Simons vortices, in Geometric Analysis and PDE CIME-lectures, Cetraro June 10-16, 2007; Springer Lecture Notes in Mathematics Ed. A. Ambrosetti, S.Y. Chang, A. Malchiodi 1977 (2009).
4. J. Dalbeault, M.J. Esteban, G. Tarantello: Multiplicity results for the assigned Gauss curvature problem in R^2, Non-linear Analysis 70 (2009), 2870-2881.
5. J. Dalbeault, M.J. Esteban, M. Loss, G. Tarantello: On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities, Advances Nonlinear Studies 9 n.4 (2009), 713-726.
6. Tarantello G. “Analytical, Geometrica and Topological aspects of mean field equations on surfaces“, issue dedicated to Professor Louis Nirenberg on the occasion of his 85th birthday" part II, Discr. Cont. Dyn. Syst. A 28 n. 3, ( 2010), 931-973. 7. J..Dolbeault, M. Esteban, A. Tertikas, G. Tarantello “Radial symmetry and symmetry breaking for some interpolation inequalities “ Calculus of Variations and Partial Differential Equations 42 (2011), 461-485.
8. D. Bartolucci, C.S. Lin, Tarantello G.: A Uniqueness result for a singular mean field equation on the sphere via blow-up. Comm. Pure Appl. Math., 64 (2011), 1677-1730.
9. Tarantello G. Nonabelian vortices: existence, uniqueness and asymptotics, Milan J. Math. 79 (2011) 343-356.
10. A. Poliakovsky, G. Tarantello, On a planar Liouville-type problem in the study of self-gravitating strings,JDE 252 (2012) 3668-3693.
11. C.S. Lin, G. Tarantello, Y. Yang Solutions to the master Equations governing fractional vortices, JDE to appear.
12. X. Han, G. Tarantello, Doubly periodic seld-dual vortices for a relativistic non-abelian Chern-Simons model, Calc. Var. PDE to appear.
13. R. Fortini, G. Tarantello The role of Liouville type systems in the study of non-topological Chern-Simons vortices. Proceedings ICMP 12 to appear.
14. A. Poliakovsky, G. Tarantello, On Singular Liouville Systems, Preprint 2013.