Paulo Ribenboim

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Ribenboim (left) with his brothers

Paulo Ribenboim (born March 13, 1928 in Recife ) is a Brazilian mathematician who works in the field of number theory and algebra .

Live and act

Ribenboim grew up in Recife and, from 1936, in Rio de Janeiro , where he attended English-language schools and began studying engineering at the Pontifical Catholic University in 1946 and graduated in 1948. In the same year his first mathematical work (on lattice theory ) appeared. Then he was a lecture assistant and from 1949 assistant professor at the "Centro Brasileiro de Pesquisas Fisicas" in Rio.

In 1950 he went to Nancy on a scholarship to study with Jean Dieudonné , at that time a center of mathematical activity for the Bourbaki group of French mathematicians, where he also met Laurent Schwartz and Alexander Grothendieck . In 1952 he was back in Rio, where he was a lecturer at the university. 1953 to 1956 he was with Wolfgang Krull in Bonn , where he dealt with ideal theory and valuation theory and found a counterexample to a conjecture made by Krull in valuation theory. In 1956 he went to the newly created Institute for Pure and Applied Mathematics in Rio ( IMPA ) and became a member of the Academia Brasileira de Ciências. In 1957 he received his doctorate from the University of São Paulo .

In 1958 he became research director at his institute and head of the mathematics department of the Brazilian Research Council. In 1959 he was a Fulbright Fellow Visiting Associate Professor at the University of Illinois at Urbana-Champaign . In 1962 he became an Associate Professor at Queen's University in Kingston in Ontario , Canada , as his visa for the USA was not extended. In 1965 he was given a full professorship there, which he held until his retirement.

He has written 13 books and 120 specialist articles. In his honor, the Canadian Number Theory Association launched the Ribenboim Prize named after him. His books on Fermat's great theorem and prime numbers are particularly well known .

Ribenboim is also the editor of the collected works of a number of mathematicians, e. B. by Leo Moser and Pierre Samuel .

In 1969 he became a Fellow of the Royal Society of Canada . In 1995 he received the George Pólya Award from the MAA . He is an honorary doctorate from the University of Caen .

Ribenboim has been married to a French woman since 1951 and has two sons.

Fonts (selection)

  • The world of prime numbers: secrets and records. 2nd edition, Springer-Verlag, 2011, ISBN 978-3-642-18079-8 .
  • The Little Book of Bigger Primes. Springer-Verlag, 2nd edition 2004, ISBN 978-0-387-20169-6 .
  • The Little Book of Big Primes. Springer-Verlag, 1991, ISBN 978-0-387-97508-5 .
  • Classical Theory of Algebraic Numbers. Springer-Verlag, 2001, ISBN 978-0-387-95070-9 .
  • My Numbers, My Friends: Popular Lectures on Number Theory. Springer-Verlag, 2000, ISBN 978-0-387-98911-2 .
  • The Theory of Classical Valuations. Springer-Verlag, 1999, ISBN 978-0-387-98525-1 .
  • Collected papers. 7 volumes, Queens Papers in Pure and Applied Mathematics, Kingston, Ontario, 1997, ISBN 978-0-88911-735-8 .
  • The Book of Prime Number Records. Springer-Verlag, 1989, ISBN 978-0-387-97042-4 .
  • The New Book of Prime Number Records. Springer-Verlag, 1996, ISBN 978-0-387-94457-9 .
  • Fermat's Last Theorem for Amateurs. Springer-Verlag 2000, ISBN 978-0-387-98508-4 .
  • Thirteen Lectures on Fermat's Last Theorem. Springer-Verlag, 1979, 1996, ISBN 978-0-387-90432-0 .
  • Catalan's Conjecture: Are Eight and Nine the Only Consecutive Powers? Academic Press 1994, ISBN 978-0-12-587170-9 .
  • Algebraic Numbers. Wiley, Interscience 1972, ISBN 978-0-471-71804-8 .
  • L'arithmétique des corps. 1972, ISBN 978-2-7056-5665-2 .
  • Rings and Modules. Interscience 1969, ISBN 978-0-470-71805-6 .
  • La conjecture d'Artin sur les equations diophantiennes. Kingston 1968.
  • Linear representations of finite groups. In: Graduate Texts in Mathematics. Volume 42, Springer-Verlag 1966, 1996, ISBN 978-0-387-90190-9 .
  • The Riemann-Roch Theorem for Algebraic Curves. Kingston, Ontario, Queens Papers in Pure and Applied Mathematics, 1965.
  • Functions, Limits, and Continuity. Wiley 1964.
  • Théorie des valuations. 1965.
  • Théorie des groupes ordonnées. 1963.

Individual evidence

  1. ^ P. Ribenboim: Sur une conjecture de Krull en théorie des valuations . In: Nagoya Mathematical Journal , Vol. 9 (1955), pp. 87-97, ISSN  0027-7630 (French)
  2. ^ Brazilian Academy of Sciences

Web links

personal data
SURNAME Ribenboim, Paulo
BRIEF DESCRIPTION Brazilian mathematician
DATE OF BIRTH March 13, 1928
PLACE OF BIRTH Recife , Brazil