University of David
Archive
/
RSS
October 13
All of this, and more, was accomplished essentially from scratch, in sixty-three double-spaced pages [8]. It is a stunning composition of concepts, techniques, and applications that one would normally expect from the work of many mathematicians over a decade or more. It brought algebraic K-theory from gestation to young adulthood in one awesome leap, and there was more. In one lecture Quillen provided a complete proof, with elegant new methods, of the finite generation of the K-groups of rings of algebraic integers [9]. Later Quillen, in a display of technical virtuosity, proved Serre’s so-called “Conjecture” that projective modules over polynomial algebras are free [10].
http://www.ams.org/notices/201210/rtx121001392p.pdf