Hyman Bass

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

Life and work

Bass in 1959 received his doctorate at the University of Chicago in Irving Kaplansky (Global dimensions of the ring ). After that, he was until 1998 a professor at Columbia University, where he was also Chairman of the Department. 1965/66 he was at the Institute for Advanced Study. He was also a visiting professor at, among others, IHES, the École Normale Supérieure, the Tata Institute of Fundamental Research, Cambridge University, the University of Rome, the Mittag-Leffler Institute in Stockholm and Berkeley. Since 1999 he has Roger Lyndon Collegiate Professor of Mathematics and Professor of Mathematics Education at the University of Michigan, where he particularly working with Deborah Ball.

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 AMS. 1998 to 2006 he was President of the International Commission on Mathematical Instruction ( ICMI ). At the International Congress of Mathematical Education in Copenhagen in 2004 he held the plenary.

He worked on commutative algebra, was a pioneer in algebraic K-theory and dealt with the " Congruence subgroup problem " and in connection with the representation of groups in trees.

Bass was 2001-2002 President of the AMS. In 2006 he received the National Medal of Science. In 1975 he received the Cole prize in algebra. He is a member of the American Academy of Arts and Sciences since 1982 and of the National Academy of Sciences. He was invited speaker at the ICM 1966 ( Whitehead groups and Grothendieck groups of group rings ), 1962 ( Projective modules and vector bundles ) and 1974 ( Algebraic K- Theory: A historical survey ). He is a Fellow of the American Mathematical Society.

1970 to 1982 he was a member of Bourbaki.

His doctoral counts Tsit Yuen Lam.

Writings (selection )

As author

  • Algebraic K- Theory (Mathematics lecture notes series; 11). Benjamin Books, New York 1968.
  • Introduction to some methods of algebraic K -theory (Regional Conference Series in Mathematics, Vol 20). AMS, Providence RI 1979, ISBN 0-8218-1670-5.

As editor

  • Algebra, K -theory, Groups, and Education (Contemporary Mathematics, Vol 243). AMS, Providence RI 1999, ISBN 0-8218-1087-1 (along with Andy R. Magid and Tsit Yuen Lam ).
  • Polynomial automorphisms and related topics. Lecture notes of the International School and Workshop, ICPA 2006. House of Science and Technics, Hanoi, 2007.
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