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Istituto Nazionale di Alta Matematica Francesco Severi

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Istituto Nazionale di Alta Matematica Francesco Severi
NameIstituto Nazionale di Alta Matematica Francesco Severi
Founded1939
FounderFrancesco Severi
HeadquartersRome
CountryItaly

Istituto Nazionale di Alta Matematica Francesco Severi is an Italian research institute dedicated to advanced studies in mathematics, established in 1939 and headquartered in Rome. The institute has played a central role in promoting mathematical research and doctoral training, interfacing with universities, academies, and international organizations. It has hosted scholars from across Europe and the world, influencing developments in algebraic geometry, differential equations, functional analysis, and mathematical physics.

History

The institute was established in 1939 during a period that included interactions with figures such as Francesco Severi, Beniamino Segre, Federigo Enriques, Tullio Levi-Civita, Vito Volterra, and institutions like Sapienza University of Rome, University of Padua, University of Pisa, University of Bologna, and University of Milan. Its early decades intersected with events involving World War II, Italian Republic (1946–present), and cultural institutions such as the Accademia Nazionale dei Lincei and the Istituto Nazionale di Alta Cultura. Directors and affiliates engaged with contemporaries like Ennio de Giorgi, Federigo Enriques, Guido Fubini, Ettore Majorana, and international contacts including David Hilbert, Emmy Noether, André Weil, Henri Cartan, Jean Leray, Paul Dirac, and Norbert Wiener. Postwar reconstruction connected the institute with initiatives led by Edoardo Amaldi, Giuseppe Occhialini, Enrico Fermi, and collaborations with École Normale Supérieure, University of Cambridge, Princeton University, Massachusetts Institute of Technology, and Institute for Advanced Study.

Mission and Objectives

The institute's mission aligns with objectives promoted by entities like Ministero dell'Istruzione, dell'Università e della Ricerca, Accademia dei Lincei, European Mathematical Society, International Mathematical Union, CNR (Italy), UNESCO, and national funding bodies such as Fondazione Cariplo. It seeks to advance research in areas associated with names such as Algebraic Geometry, Differential Geometry, Functional Analysis, Partial Differential Equations, Number Theory, Probability Theory, and Mathematical Physics through programs involving doctoral training, postdoctoral research, and partnerships with universities including University of Naples Federico II, University of Turin, University of Catania, and University of Palermo. The institute supports mobility with fellowships referencing frameworks like Horizon 2020, Marie Skłodowska-Curie Actions, and collaborations with European Research Council grantees.

Organization and Governance

Governance structures involve oversight from bodies comparable to Consiglio Nazionale delle Ricerche, Ministry of Education (Italy), and advisory panels with members drawn from Accademia Nazionale dei Lincei, Italian Mathematical Union, European Mathematical Society, and international bodies such as American Mathematical Society and Royal Society. Internal organization comprises scientific committees, administrative offices, and centers similar to those at Scuola Normale Superiore di Pisa and Scuola Internazionale Superiore di Studi Avanzati. Directors and councilors have included mathematicians connected to institutions like University of Rome Tor Vergata, University of Florence, University of Siena, and research units affiliated to INFN and INAF.

Research Programs and Activities

Research activities span collaborations with groups led by figures such as Alessandro Figà Talamanca, Ennio de Giorgi, Lucio Russo, Giulio Racah, and contemporary researchers linked to projects funded through European Research Council, Marie Curie Actions, and national grants from MIUR. Programs include thematic semesters, workshops, and long-term projects in fields tied to scholars like Gian-Carlo Rota, Alessandro Verri, Sergio Albeverio, Giancarlo Rota, Italo Capuzzo-Dolcetta, Alberto Pazzaglia, Carlo Sbordone, Ettore Aldrovandi, Roberto Conti, Mikio Sato, Jean-Pierre Serre, Alexander Grothendieck, Pierre Deligne, Kurt Gödel, André Weil, and connections to international centers such as Institut des Hautes Études Scientifiques, Mathematical Sciences Research Institute, Cambridge University Centre for Mathematical Sciences, and Max Planck Institute for Mathematics. The institute organizes seminars in topics including those associated with Bernhard Riemann, David Hilbert, Évariste Galois, Niels Abel, Carl Friedrich Gauss, Leonhard Euler, Srinivasa Ramanujan, John von Neumann, Alan Turing, and contemporary themes in String Theory, Quantum Field Theory, Nonlinear Dynamics, and Complex Analysis.

Education and Training (Schools, Fellowships, Scholarships)

The institute administers doctoral and postdoctoral programs, summer schools, and advanced courses cooperating with universities such as Scuola Normale Superiore, Scuola Superiore Sant'Anna, Politecnico di Milano, Politecnico di Torino, and international programs like Mathematics Summer Program at IAS, Clay Mathematics Institute summer schools, and CIMPA initiatives. Scholarships and fellowships are often comparable to awards from European Research Council, Marie Curie Fellowships, Fulbright Program, Alexander von Humboldt Foundation, JSPS, and national scholarships administered by MIUR. Training targets emerging researchers in topics linked to names such as Sofia Kovalevskaya, Émile Picard, Jacques Hadamard, Stefan Banach, John Nash, and contemporary leaders from institutions like Princeton University, ETH Zurich, University of Oxford, Harvard University, and Yale University.

Publications and Conferences

The institute sponsors publication series, proceedings, and monographs analogous to outputs from Springer Science+Business Media, Elsevier, Cambridge University Press, Oxford University Press, and collaboration with journals like Annali della Scuola Normale Superiore di Pisa, Rendiconti Lincei, Journal of Differential Geometry, Inventiones Mathematicae, Acta Mathematica, Compositio Mathematica, Mathematische Annalen, and Bulletin of the American Mathematical Society. Conferences and workshops have featured speakers connected to Michael Atiyah, Isadore Singer, Simon Donaldson, Edward Witten, Maxwell Rosenlicht, Gerd Faltings, Jean-Pierre Serre, and contemporary lecturers from Institute for Advanced Study, Fields Institute, Perimeter Institute, and Banff International Research Station.

Notable Members and Directors

Notable associated figures include founders and directors linked to Francesco Severi, Enzo Martinelli, Federigo Enriques, Tullio Levi-Civita, Beniamino Segre, Ennio de Giorgi, Guido Fubini, Luigi Fantappiè, Paolo Ribenboim, Lucio Russo, Carlo Miranda, Massimo Picardello, Sergio Venturi, Giuseppe Zwirner, Ettore Majorana, Ettore Aldrovandi, Riccardo Zannier, Donatella Iacono, Michele Benzi, Alberto Tognoli, Gianfranco Cimmino, Roberto Conti, Alessandro Figà Talamanca, Alberto Pazzaglia, Italo Capuzzo-Dolcetta, Sergio Albeverio, Carlo Sbordone, Alberto Calderón, Enrico Bombieri, Lucio Russo, Giuseppe Gallavotti, Giuseppe Morando, Giovanni Prodi, Vittorio Cafiero, Gaetano Fichera, Alessandro Figà Talamanca, Mario Benedicto, Antonio Ambrosetti, Enrico Magenes, Roberto Longo, Vittorio De Sica, Maria Montessori.

Category:Research institutes in Italy Category:Mathematical institutes