Instituto de Matemática Pura e Aplicada

Entrance to the National Institute of Pure and Applied Mathematics

The Instituto Nacional de Matemática Pura e Aplicada (IMPA) or German National Institute of Pure and Applied Mathematics is a Brazilian national research institute for mathematics founded in Rio de Janeiro in 1952 . The first director was the astronomer Lélio Gama . Mauricio Peixoto and Leopoldo Nachbin were also founding members . Peixoto also focuses on dynamic systems. The first Brazilian Mathematical Colloquia took place here in 1957 and has been held every two years with up to 1200 participants since then. In addition to research and the post-doctoral program, there are also programs for doctoral and undergraduate students in collaboration with the University of Rio.

Since 1957 it has been on Rua São Clemente in Botafogo , from 1967 in a historic building on Luís de Camões Street and from 1981 in a new building in the Botanical Garden (Dona Castorina Street 110).

Jean-Christophe Yoccoz , Stephen Smale (who started his own research on dynamic systems here and proved the generalized Poincaré conjecture in five and more dimensions) carried out research at the IMPA . Members were Welington de Melo , Artur Avila , Marcelo Viana , Jacob Palis , Ricardo Mañé , Enrique Pujals and Manfredo do Carmo , Elon Lages Lima (* 1929), Felipe Voloch , Karl-Otto Stöhr , César Camacho (director from 2004) and Paulo Ribenboim (from 1957), at times also William Meeks , Harold William Rosenberg . Both Palis and Lima were intermittent directors.

The focus was initially on functional analysis, differential topology and dynamic systems, followed by algebraic and differential geometry, probability theory, mathematical statistics, operations research and mathematical economics in the 1970s, and later partial differential equations, computer graphics and hydrodynamics.

It has been the seat of the Brazilian Mathematical Society since it was founded in 1969 and was the seat of the International Mathematical Union from 1990 to 1998. Together with the Brazilian Mathematical Society, they organize the International Congress of Mathematicians in Rio in August 2018 (head of the Organizing Committee Marcelo Viana).

They also publish their own series of textbooks (Euclides, Matematica Universitaria).

Web links

official website

Individual evidence

↑ 1892–1981. From its founding in 1952 to 1965, he was director of the IMPA and, at the same time, director of the national observatory from 1951 to 1967
↑ 1922-1993. One of the first Brazilian mathematicians to study overseas at the University of Chicago in 1948. There he made contacts with André Weil , Jean Dieudonné and Marshall Stone , who in turn also visited Brazil. At that time he was considered the most important mathematician in Brazil.

[1] 1892–1981. From its founding in 1952 to 1965, he was director of the IMPA and, at the same time, director of the national observatory from 1951 to 1967

[2] 1922-1993. One of the first Brazilian mathematicians to study overseas at the University of Chicago in 1948. There he made contacts with André Weil , Jean Dieudonné and Marshall Stone , who in turn also visited Brazil. At that time he was considered the most important mathematician in Brazil.