Instituto Nacional de Matemática Pura e Aplicada

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Coordinates: 22°57′55″S 43°14′17″W / 22.965284°S 43.237939°W / -22.965284; -43.237939

IMPA Logo.png
DirectorMarcelo Viana
CampusUrban (English)

The Instituto National de Matemática Pura e Aplicada (IMPA; English: National Institute for Pure and Applied Mathematics) is widely considered to be the foremost research and educational institution of Brazil in the area of mathematics. It is located in the city of Rio de Janeiro, and was formerly known simply as Instituto de Matemática Pura e Aplicada, hence its official abbreviation.

As of 2015, IMPA does research in algebra, analysis, differential geometry, partial differential equations, computer graphics, fluid dynamics, holomorphic dynamics, mathematical economics, symplectic geometry, algebraic geometry, optimization, probability theory, dynamical systems, and ergodic theory. It is aiming to expand its lines of research to include topology, number theory, combinatorics, and discrete mathematics in general and its applications.[2][3]

Artur Avila, a 2014 Fields Medalist, is a researcher at IMPA and received his Ph.D there.[4] Among its researchers also are/were Jacob Palis, Elon Lages Lima, Maurício Peixoto, Manfredo do Carmo, Marcelo Viana, Welington de Melo, Enrique Pujals, Harold Rosenberg, Marcos Dajczer, Carlos Gustavo Moreira, Fernando Codá Marques, César Camacho, Arnaldo Garcia, Alfredo Noel Iusem, Karl-Otto Stöhr, Robert Morris, and Carolina Araujo.[5]

See also[edit]


  1. ^ Francisco de Oliveira Castro. A Matemática no Brasil, Editora da Unicamp, p. 74.
  2. ^ "Pesquisa". Retrieved 11 December 2018.
  3. ^ Marcelo Viana. "Matemática e Estatística do Tamanho do Brasil Papel da Sociedade Brasileira de Matemática" (PDF). Retrieved 19 October 2018.
  4. ^ Romero, Simon (Aug 27, 2014). "From a Compound in the Brazilian Hills, Excellence in Math Emerges". The New York Times.
  5. ^ "Pesquisadores". Retrieved 11 December 2018.

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