Aldridge Bousfield

Aldridge Knight Bousfield (April 5, 1941 – October 4, 2020),[1] known as Pete, was an American mathematician working in Algebraic Topology, known for the concept of Bousfield localization.

Pete (Aldridge) Bousfield
Born(1941-04-05)5 April 1941
Boston, Massachusetts, United States of America
Died4 October 2020(2020-10-04) (aged 79)
CitizenshipAmerican
Alma materM.I.T.
Known forBousfield localization
Scientific career
FieldsMathematics, Algebraic Topology
InstitutionsBrandeis University, University of Chicago
ThesisHigher Order Suspension Maps for Non-Additive Functors (1966)
Doctoral advisorDaniel Kan

Work and life

Bousfield obtained both his undergraduate degree (1963) and his doctorate (1966) at the Massachusetts Institute of Technology. His doctoral thesis entitled Higher Order Suspension Maps for Non-Additive Functors was written under the supervision of Dan Kan.[2] He was Lecturer and Assistant Professor at Brandeis University and moved to the University of Illinois at Chicago where he worked from 1972 to his retirement in 2000.

Bousfield married Marie Vastersavendts, a Belgian mathematician, in 1968. She worked as demographer for the city of Chicago and died in 2016.[3]

Research

Within algebraic topology, he specialised in homotopy theory. The Bousfield-Kan spectral sequence, Bousfield localization of spectra and model categories, and the Bousfield-Friedlander model structure[4] are named after Bousfield (and Kan and Friedlander, respectively).

Recognition

He was named to the 2018 class of fellows of the American Mathematical Society "for contributions to homotopy theory and for exposition".[5]

Selected publications
  • A. K. Bousfield, D. M. Kan , Homotopy limits, completions and localizations, Lecture Notes in Mathematics Vol. 304, Springer-Verlag (1972).
  • A. K. Bousfield, D. M. Kan, The homotopy spectral sequence of a space with coefficients in a ring, Topology 11 (1972), 79-106.
  • A. K. Bousfield, D. M. Kan, Pairings and products in the homotopy spectral sequence. Trans. Amer. Math. Soc. 177 (1973), 319-343.
  • A. K. Bousfield, Homological Localization Towers for Groups and II-Modules, Memoirs of the American Mathematical Society 1977.
  • A. K. Bousfield, E. Friedlander, Homotopy theory of Γ-spaces, spectra, and bisimplicial sets, in: Lecture Notes in Mathematics Vol. 658, Springer-Verlag (1978), 80-130.
  • A. K. Bousfield, The localization of spectra with respect to homology, Topology 18 (1979), 257-281.
  • A. K. Bousfield, Homotopy Spectral Sequences and Obstructions, Isr. J. Math. 66 (1989), 54-104.

References
  1. Cited from American Men and Women of Science, Thomson Gale 2004 and Brooke Shipley (10 October 2020). "Aldridge (Pete) Bousfield". ALGTOP-L archive. Retrieved 11 October 2020.
  2. Aldridge Bousfield at the Mathematics Genealogy Project
  3. "Marie Bousfield (1939-2016)". Chicago Tribune. 18 March 2016. Retrieved 11 October 2020.
  4. "Bousfield-Friedlander model structure". nLab. 8 September 2020. Retrieved 11 October 2020.
  5. 2018 Class of Fellows of the AMS, American Mathematical Society, retrieved 2020-11-02
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