Charles Weibel

from Wikipedia, the free encyclopedia

Charles Alexander Weibel (born October 28, 1950 in Terre Haute , Indiana ) is an American mathematician who studies algebraic K-theory , algebraic geometry and homological algebra .

Charles A. Weibel, Oberwolfach 2004

Weibel studied physics and mathematics at the University of Michigan with bachelor's degrees in both subjects in 1972 and at the University of Chicago with a master's degree in 1973 and his doctorate in 1977 with Richard Swan ( Homotopy in Algebraic K-Theory ). From 1970 to 1976 he was an Operations Research Analyst at Standard Oil in Indiana and from 1977/78 at the Institute for Advanced Study . In 1978 he became an Assistant Professor at the University of Pennsylvania and in 1980 Assistant Professor and from 1989 Professor at Rutgers University .

Together with Wladimir Wojewodski , Markus Rost and others he was involved in the proof of the (motivic) Bloch-Kato conjecture (2009). It is a generalization of the Milnor conjecture of the algebraic K-theory, which Vojewodski proved in the 1990s.

In 1992 he was visiting professor in Paris and in 1993 in Strasbourg. From 1983 he was editor of the Journal of Pure and Applied Algebra . He is a fellow of the American Mathematical Society .

Fonts (selection)

  • The K-Book, an introduction to algebraic K-theory
  • An introduction to homological algebra , Cambridge University Press 1994
  • with Rognes: Two-primary algebraic K-theory of rings of integers in number fields. Appendix A by Manfred Kolster. J. Amer. Math. Soc. 13 (2000), no. 1, 1-54.
  • with Cortiñas, Haesemeyer, Schlichting: Cyclic homology, cdh-cohomology and negative K-theory. Ann. of Math. (2) 167 (2008), no. 2, 549-573.
  • The norm residue isomorphism theorem. J. Topol. 2 (2009), no. 2, 346-372.
  • with Cortiñas, Haesemeyer, Walker: Bass' NK groups and cdh-fibrant Hochschild homology. Invent. Math. 181 (2010), no. 2, 421-448.
  • Survey of Non-Desarguesian Planes. In: Notices of the American Mathematical Society. Volume 54. American Mathematical Society, Nov. 2007, pp. 1294-1303

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ↑ Weibel The norm residue isomorphism theorem , Journal of Topology, Volume 2, 2009, pp. 346–372
personal data
SURNAME Weibel, Charles
ALTERNATIVE NAMES Weibel, Charles Alexander (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH October 28, 1950
PLACE OF BIRTH Terre Haute , Indiana