Hyman bass

from Wikipedia, the free encyclopedia
Hyman bass
Hyman Bass (2007) in Oberwolfach

Hyman Bass (born October 5, 1932 in Houston , Texas ) is an American mathematician who deals with algebra , especially algebraic K-theory , group theory , number theory and algebraic geometry, as well as mathematics education.

Live and act

Hyman Bass received his doctorate in 1959 from the University of Chicago under Irving Kaplansky ("Global dimensions of Rings"). He was then a professor at Columbia University until 1998 , where he was also chairman of the department. In 1965 he became a Sloan Research Fellow . In 1965/66 he was at the Institute for Advanced Study . He has also been a visiting professor at IHES , the École normal supérieure , the Tata Institute of Fundamental Research , the University of Cambridge , the University of Rome, the Mittag-Leffler Institute in Stockholm and in Berkeley . Since 1999 he has been Roger Lyndon Collegiate Professor of Mathematics and Professor of Mathematics Didactics at the University of Michigan , working particularly with Deborah Loewenberg Ball.

He worked in commutative algebra , was a pioneer in algebraic K-theory and dealt with the " congruence subgroup problem " and in connection with it group effects on trees .

He was invited speaker at the ICM in 1966 (Whitehead groups and Grothendieck groups of group rings), 1962 (“Projective modules and vector bundles”) and 1974 (“Algebraic K-Theory: A historical survey”). In 1975 he received the Cole Prize in Algebra. He has been a member of the American Academy of Arts and Sciences and a Fellow of the American Association for the Advancement of Science since 1981 and a member of the National Academy of Sciences since 1982 . From 1970 to 1982 he was a member of Bourbaki .

From 1993 to 2000 he was Chairman of the Mathematical Science Education Board of the National Research Council of the United States and the Committee for Education of the American Mathematical Society (AMS). Bass is a member of the AMS and was Felix Browder's successor from 2001 to 2002 as its president. From 1998 to 2006 he was President of the International Commission on Mathematical Instruction (ICMI). He gave the plenary lecture at the International Congress on Mathematical Education in Copenhagen in 2004. In 2006 he received the National Medal of Science .

Tsit Yuen Lam is one of his PhD students .

Fonts (selection)

As an author

Essays
Monographs
  • Algebraic K-Theory (= Mathematics Lecture Notes Series. (11)). Benjamin Books, New York NY et al. 1968.
  • Introduction to some methods of algebraic -theory (= Regional Conference Series. In Mathematics 20). American Mathematical Society, Providence RI 1979, ISBN 0-8218-1670-5 .
  • with Alexander Lubotzky: Tree lattices (= Progress in Mathematics. 76). With appendices by Bass, Lisa Carbone, Alexander Lubotzky, Gabriel Rosenberg and Jacques Tits . Birkhäuser, Boston MA et al. 2001, ISBN 0-8176-4120-3 .

As editor

  • with Nguyen Van Chau, Stefan Maubach: Polynomial automorphisms and related topics. Lecture notes of the International School and Workshop, ICPA2006, October 2006, Institute of mathematics, Hanoi, Vietnam. Publishing House for Science and Technology, Hanoi 2007.

literature

  • Max Karoubi : In honor of Hyman Bass on his 70th birthday (= K-theory. Vol. 30, No. 1-4, ISSN  0920-3036 ). Kluwer, Doordrecht 2003, (special issue of the journal K-theory ).
  • Tsit Yuen Lam, Andy R. Magid (Eds.): Algebra, -theory, Groups, and Education. On the Occasion of Hyman Bass's 65th Birthday. (A Conference on Algebra, K-theory, Groups, and Education was held at Columbia University, New York, November 6-7, 1997) (= Contemporary Mathematics . 243). American Mathematical Society, Providence, RI 1999, ISBN 0-8218-1087-1 .
  • Allyn Jackson: Bass receives National Medal of Science. In: Notices of the American Mathematical Society . Volume 54, No. 9, 2007, pp. 1161-1162 .

Web links

personal data
SURNAME Bass, hyman
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH October 5, 1932
PLACE OF BIRTH Houston , Texas