Richard Swan
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,[1] and for the Swan representation, an l-adic projective representation of a Galois group.[2] 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.[3] He is the Louis Block Professor Emeritus of Mathematics at the University of Chicago.[4] His doctoral students at Chicago include Charles Weibel, also known for his work in K-theory.[3]
Books
- 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. Vol. 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. Vol. 149. Notes by E. Graham Evans. Berlin, New York: Springer-Verlag. doi:10.1007/BFb0059150. MR 0308195.
References
- ^ 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.
External links
| International | |
|---|---|
| National | |
| Academics | |
| People | |
| Other | |
   | This article about an American mathematician is a stub. You can help Wikipedia by expanding it. |