Richard Gordon Swan is an American mathematician who is known for the Serre–Swan theorem relating the geometric notion of vector bundles to the algebraic concept of projective modules, and for the Swan representation, an l-adic projective representation of a Galois group. His work has mainly been in the area of algebraic K-theory.
Swan earned his Ph.D. in 1957 from Princeton University under the supervision of John Coleman Moore. He is the Louis Block Professor Emeritus of Mathematics at the University of Chicago. His doctoral students at Chicago include Charles Weibel, also known for his work in K-theory.
- Swan, R. G. (1964). The Theory of Sheaves. Chicago lectures in mathematics. Chicago: The University of Chicago Press.
- Swan, R. G. (1968). Algebraic K-theory. Lecture Notes in Mathematics 76. Berlin, New York: Springer-Verlag. doi:10.1007/BFb0080281. MR 0245634.
- Swan, Richard G. (1970). K-theory of finite groups and orders. Lecture Notes in Mathematics 149. Notes by E. Graham Evans. Berlin, New York: Springer-Verlag. doi:10.1007/BFb0059150. MR 0308195.
- ^ Manoharan, P. (1995), "Generalized Swan's Theorem and its Application", Proceedings of the American Mathematical Society 123 (10): 3219–3223, doi:10.2307/2160685, JSTOR 2160685.
- ^ Huber, R. (2001), "Swan representations associated with rigid analytic curves", Journal für die Reine und Angewandte Mathematik 537: 165–234, doi:10.1515/crll.2001.063, MR 1856262.
- ^ a b Richard Gordon Swan at the Mathematics Genealogy Project
- ^ University of Chicago Mathematics Faculty Listing, retrieved 2015-08-31.