Paulo Ribenboim

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

Ribenboim grew up in Recife and from 1936 in Rio de Janeiro, where he attended English-language schools, and from 1936 at the Pontifical Catholic University to study engineering began in 1948 and earned his bachelor 's degree. In the same year his first mathematical work appeared ( on lattice theory ). After that, he was assistant Lecture and since 1949 assistant professor at the " Centro Brasileiro de Pesquisas físicas " in Rio. In 1950 he went on a scholarship to study with Jean Dieudonné to Nancy, then a center of mathematical activity of the Bourbaki group of French mathematicians, where he met Laurent Schwartz and Alexander Grothendieck. In 1952 he was back in Rio, where he became a lecturer at the university. 1953 to 1956 he was with Wolfgang Krull in Bonn, where he focused on ideal theory and valuation theory and found a counterexample to a conjecture of 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 Brazilian Academy of Sciences. In 1957 he received his doctorate from the University of São Paulo. In 1958 he became director of research 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 was Associate Professor at Queen 's University in Kingston, Ontario in Canada, because his visa for the United States was not renewed. In 1965 he received a full professorship, which he held until his retirement.

He wrote 13 books and 120 journal articles. In his honor, the Canadian Number Theory Association created the named after his name Ribenboim Prize to life. Especially famous are his books on the great Fermat's theorem and primes.

Ribenboim is also editor of the collected works of a number of mathematicians, for example, 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 of the MAA. He holds honorary doctorates from the University of Caen.

Ribenboim is married to a Frenchwoman since 1951 and has two sons.

Writings

• 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.
• 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 of the corps. 1972, ISBN 978-2-7056-5665-2.
• Rings and Modules. Interscience 1969, ISBN 978-0-470-71805-6.
• La d' Artin conjecture sur les équations 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, Queen's Papers in Pure and Applied Mathematics, 1965.
• Functions, Limits, and Continuity. Wiley 1964.
• Théorie des valuations. In 1965.
• Théorie des groupes ordonnées. In 1963.