nLab John Frank Adams

Frank Adams (John Frank Adams) was a British mathematician who made a great contribution to algebraic topology and in particular stable homotopy theory.

• wikipedia entry (English)

• wikipedia entry (German)

• Mathematics Genealogy Project entry

• History of Mathematics archive entry (St. Andrews)

• Peter May, Reminiscences of the Life and Mathematics of J. Frank Adams (pdf)

• Ioan James, John Frank Adams (pdf, pdf)

Selected writings

Introducing the Adams-Hilton model for the Pontrjagin ring-structure on the homology of a based loop space, refined to the singular chain complex:

• John F. Adams, Peter J. Hilton, On the chain algebra of a loop space, Commentarii Mathematici Helvetici 30 (1956) 305–330 [doi:10.1007/BF02564350]

On stable homotopy theory and generalized (Eilenberg-Steenrod) cohomology:

• John Frank Adams, Stable homotopy and generalized homology, Chicago Lectures in Mathematics, The University of Chicago Press (1974) [ucp:bo21302708, pdf]

On the work of Henri Cartan in relation to homotopy theory:

• John Frank Adams, The work of M. H. Cartan in its relation with homotopy theory, Colloque analyse et topologie,Astérisque no. 32-33 (1976), p. 29-41 (numdam:AST_1976__32-33__29_0/)

On infinite loop spaces and $A_n$-spaces, $A_\infty$-algebras:

• John Adams, Infinite loop spaces, Hermann Weyl lectures at IAS, Annals of Mathematics Studies 90 Princeton University Press (1978) [ISBN:9780691082066, doi:10.1515/9781400821259]

On Lie groups:

• Frank Adams, Lectures on Lie groups, University of Chicago Press (1982) [ISBN:9780226005300, gbooks]

Related entries

• Adams operation

• Adams conjecture

• Adams spectral sequence

• Adams-Novikov spectral sequence

• MU, Quillen's theorem on MU

category: people