Istituto Nazionale di Alta Matematica

Istituto Nazionale di Alta Matematica
Name	Istituto Nazionale di Alta Matematica
Native name	Istituto Nazionale di Alta Matematica "Francesco Severi"
Established	1938
Type	Research institute
Location	Rome, Italy
Key people	Francesco Severi, Ennio De Giorgi, Olga Oleinik

Istituto Nazionale di Alta Matematica is an Italian institute for advanced studies in mathematics founded in 1938 to promote higher mathematical research and doctoral training in Italy, closely associated with Italian universities such as Sapienza University of Rome and University of Pisa. The institute has connections with prominent mathematicians including Francesco Severi, Federigo Enriques, and Tullio Levi-Civita, and has fostered ties with international centers like Institute for Advanced Study, École Normale Supérieure, and Princeton University. It supports mathematical research across fields represented by figures such as Ennio De Giorgi, Gaetano Fichera, and Paolo Pizzetti.

History

The institute emerged during a period marked by institutional developments involving Royal Academy of Italy and figures such as Francesco Severi and Federigo Enriques, aligning with programs that connected to universities including University of Padua, University of Milan, and University of Naples Federico II. Early decades saw interaction with mathematicians like Tullio Levi-Civita, Vito Volterra, and Guido Castelnuovo and engagement in initiatives parallel to activities at Giornale di Matematiche and meetings reminiscent of assemblies held at Bologna and Florence. Postwar reconstruction brought collaborations with scholars returning from centers such as Princeton University and Harvard University, and later decades included exchanges with analysts like Lars Hörmander and geometers linked to École polytechnique and University of Göttingen. The institute evolved through reforms reflecting national legislation involving Italian Republic institutions and European frameworks influenced by organizations like European Mathematical Society and Conseil Européen pour la Recherche Nucléaire.

Organization and Governance

Governance has involved leading Italian academies such as Accademia dei Lincei and administrative ties to ministries and university systems including Ministry of Education, Universities and Research (Italy), Consiglio Nazionale delle Ricerche, and regional administrations in Lazio. The institute’s governing bodies include scientific councils populated by scholars from Sapienza University of Rome, Scuola Normale Superiore di Pisa, Università degli Studi di Bari, Politecnico di Milano, and members connected with international institutions such as Collège de France and Max Planck Society. Directors historically have coordinated programs with departments at University of Turin, University of Florence, University of Siena, and research groups affiliated with CERN-related mathematics and theoretical physics circles. Administrative structures align with statutes comparable to directives used by Italian universities and boards patterned after committees at Institute for Advanced Study.

Research and Academic Programs

Research covers analysis, algebra, geometry, topology, applied mathematics, and mathematical physics, involving collaborations with specialists from Ennio De Giorgi, Gaetano Fichera, Renato Caccioppoli, Vladimir Arnold, and Sergio Albeverio circles. Graduate and postdoctoral programs link to doctoral schools at Scuola Normale Superiore di Pisa, SISSA, and University of Padua with thematic programs echoing seminars at Institut des Hautes Études Scientifiques, Mathematical Sciences Research Institute, and summer schools modeled after events at Cortona and Varenna. Visiting professorships have included scholars associated with Princeton University, Massachusetts Institute of Technology, University of Cambridge, and University of Oxford, enabling joint supervision with researchers from ETH Zurich, University of Bonn, Université Pierre et Marie Curie, and University of Chicago.

Notable Members and Directors

Notable figures connected to the institute span classical and modern eras: founders and early leaders like Francesco Severi, contemporaries including Federigo Enriques, Tullio Levi-Civita, Vito Volterra, and later directors and members such as Ennio De Giorgi, Gaetano Fichera, Renato Caccioppoli, Olga Oleinik, and Giuseppe Maria Martinelli. Internationally prominent visitors and collaborators have included Lars Hörmander, Jean-Pierre Serre, Alexander Grothendieck, John von Neumann, Paul Erdős, André Weil, Hermann Weyl, Michael Atiyah, Isadore Singer, Jean-Pierre Kahane, Cédric Villani, Vladimir Arnold, Gian-Carlo Rota, Sergio Albeverio, Alexander Beilinson, Mikhail Gromov, William Thurston, Pierre Deligne, Phillip Griffiths, David Mumford, Robert Langlands, Atle Selberg, Enrico Bombieri, Yuri Manin, Sigurdur Helgason, Edward Witten, Laurent Schwartz, Jürgen Moser, Nicolaas Kuiper, Luigi Ambrosio, Felix Browder, Terry Lyons, Jean-Michel Bismut, Jean-Louis Koszul, Jacques Dixmier, and Ivo Kleiber.

Publications and Conferences

The institute organizes seminars, lecture series, and conferences with proceedings comparable to volumes produced by Springer Science+Business Media and special issues appearing in journals associated with Annali della Scuola Normale Superiore di Pisa, Rendiconti del Seminario Matematico della Università di Padova, Annali di Matematica Pura ed Applicata, and collaborations reflected in collections with Cambridge University Press and Elsevier. Regular events include thematic weeks resembling workshops at Mathematical Sciences Research Institute, annual meetings echoing traditions of International Congress of Mathematicians, and summer schools in the style of Centro Internazionale Matematico Estivo (CIME), drawing participants from institutions such as SISSA, Scuola Internazionale Superiore di Studi Avanzati, University of Trento, and Politecnico di Torino.

Collaborations and International Partnerships

Partnerships extend to European and global centers: exchanges with École Normale Supérieure, Collège de France, Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, Institute for Advanced Study, Princeton University, Harvard University, Massachusetts Institute of Technology, ETH Zurich, University of Bonn, Université Paris-Saclay, University of Cambridge, and networks coordinated through European Mathematical Society and initiatives linked to CERN. Bilateral programs have involved the Italian Space Agency, Istituto Nazionale di Fisica Nucleare, and joint doctoral cotutelles with Université de Paris, Universidad Autónoma de Madrid, University of California, Berkeley, and Australian National University.

Category:Mathematical institutes