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| Instituto de Matemática Pura e Aplicada (IMPA) | |
|---|---|
| Name | Instituto de Matemática Pura e Aplicada |
| Native name | Instituto de Matemática Pura e Aplicada |
| Established | 1952 |
| Type | Research institute |
| City | Rio de Janeiro |
| Country | Brazil |
Instituto de Matemática Pura e Aplicada (IMPA) is a leading Brazilian research institute in mathematics and related sciences located in Rio de Janeiro. Founded in 1952, it has become a national and international center for mathematical research, graduate education, and scientific collaboration involving scholars from institutions such as Princeton University, Massachusetts Institute of Technology, École Normale Supérieure, University of Cambridge, and ETH Zürich. IMPA maintains close ties with agencies and organizations including Universidade Federal do Rio de Janeiro, Fundação Getulio Vargas, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Sociedade Brasileira de Matemática, and International Mathematical Union.
IMPA was created in 1952 through initiatives involving Ordem dos Advogados do Brasil, Brazilian policymakers, and mathematicians inspired by institutions like Institute for Advanced Study, Courant Institute of Mathematical Sciences, and Institut Henri Poincaré. Early leadership included figures associated with Universidade de São Paulo and contacts with scholars from University of Chicago, Columbia University, University of California, Berkeley, Stanford University, and Harvard University. Over decades IMPA hosted workshops linked to programs such as Mathematical Congress of the Americas, International Congress of Mathematicians, and collaborations with research centers like Centre National de la Recherche Scientifique and Max Planck Society. Political and institutional milestones intersected with national bodies such as Ministry of Education (Brazil), Brazilian Academy of Sciences, and Presidency of Brazil.
Governance structures at IMPA have involved boards and committees with representation from Universidade Federal de Minas Gerais, Universidade Estadual de Campinas, Universidade de Brasília, Universidade Federal do Rio Grande do Sul, and international advisors from Royal Society, American Mathematical Society, and European Mathematical Society. Administrative offices coordinate graduate programs in partnership with entities like Coordenação de Aperfeiçoamento de Pessoal de Nível Superior and funding oversight by Financieras públicas and private foundations including Fundação Roberto Marinho and Fundação Liberdade. Leadership interacts with awards panels such as Fields Medal committees, Abel Prize juries, and advisory boards for institutes like IMB (Institute for Mathematics and its Applications).
IMPA organizes research groups spanning areas with connections to scholars from Princeton Plasma Physics Laboratory, Los Alamos National Laboratory, and universities including Yale University, University of Oxford, University of Tokyo, Seoul National University, and Peking University. Graduate programs train doctoral candidates through coursework influenced by curricula from University of Paris, University of Göttingen, University of Bologna, and summer schools modeled on Nordic Summer School. Research themes include topology with links to results by Henri Poincaré and John Milnor; dynamical systems connected to work by Stephen Smale and Jakob Nielsen; differential geometry following traditions of Élie Cartan and Bernhard Riemann; analysis influenced by André Weil and Serge Lang; and mathematical physics with connections to Albert Einstein and Richard Feynman. IMPA hosts joint programs and exchanges with Universidad Nacional Autónoma de México, Universidad de Buenos Aires, Pontifical Catholic University of Chile, and University of Waterloo.
IMPA’s community includes mathematicians associated with prizes and positions at institutions like Fields Medal, Wolf Prize, Clay Mathematics Institute, Royal Society fellowships, and appointments at New York University, California Institute of Technology, Imperial College London, King's College London, Brown University, Duke University, University of Michigan, Heidelberg University, University of Toronto, Monash University, University of Sydney, University of Copenhagen, Ludwig Maximilian University of Munich, University of Zürich, Università di Pisa, Scuola Normale Superiore, Humboldt University of Berlin, École Polytechnique, University of Amsterdam, Leiden University, University of Barcelona, Universitat Politècnica de Catalunya, and Indian Institute of Science. Alumni have participated in initiatives at National Aeronautics and Space Administration, European Space Agency, World Bank, Inter-American Development Bank, and national research councils across Latin America.
IMPA publishes scholarly output and proceedings linked to journals and series with publishers such as Springer, Elsevier, Cambridge University Press, Oxford University Press, and American Mathematical Society. It organizes conferences related to International Congress of Mathematicians, Symposium on Geometry, Workshop on Dynamical Systems, School on Partial Differential Equations, and collaborative events with Mathematical Optimization Society, Sociedade Brasileira de Matemática Aplicada e Computacional, Association for Symbolic Logic, European Mathematical Society, Society for Industrial and Applied Mathematics, and institutes like CIRM and Mathematical Sciences Research Institute. Proceedings and monographs often reference works by David Hilbert, Emmy Noether, Kurt Gödel, and contemporary contributors.
IMPA runs initiatives for talent development linked with Brazilian Mathematical Olympiad, International Mathematical Olympiad, Kangaroo Math Competition, and regional projects including Programa de Iniciação Científica and partnerships with schools in Rio de Janeiro State, São Paulo State, Minas Gerais, Paraná, and Bahia. Public lectures feature visiting scholars from Fields Medal recipients, speakers associated with Clay Research Fellows, and collaborations with cultural institutions such as Museu Nacional de Belas Artes, Museu de Arte Moderna do Rio de Janeiro, and media outlets including Globo News and Folha de S.Paulo.
The IMPA campus in Jardim Botânico, Rio de Janeiro comprises research offices, seminar rooms, a library connected to networks like WorldCat and MathSciNet, computing facilities with access to resources at CERN collaborations, and archives that document exchanges with institutions such as Institut des Hautes Études Scientifiques, Sackler Library, and national repositories. Visitor accommodations support fellows from Institute for Advanced Study, Klein Institute, and regional partners, while lecture halls host colloquia with international participants from International Centre for Theoretical Physics and Perimeter Institute.
Category:Research institutes