University of David
All of this, and more, was accomplished essentially from scratch, in sixty-three double-spaced pages . 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 . Later Quillen, in a display of technical virtuosity, proved Serre’s so-called “Conjecture” that projective modules over polynomial algebras are free .