Aldridge Bousfield

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]

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).

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

• 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.