Quillen's work in algebraic K-theory, by Daniel R. Grayson

[ The previous version, dated Dec 2, 2011, has been replaced, Mar 15, 2012. ]

This paper is dedicated to the memory of Daniel Quillen. In it, we examine his brilliant disovery of higher algebraic K-theory, including its roots in and genesis from topological K-theory and ideas connected with the proof of the Adams conjecture, and his development of the field into a complete theory in just a few short years. We provide a few references to further developments, including motivic cohomology.

Daniel R. Grayson <drg@illinois.edu>