Richard Swan Explained
Richard Gordon Swan (; born 1933) 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.
Education and career
As an undergraduate at Princeton University, Swan was one of five winners in the William Lowell Putnam Mathematical Competition in 1952.[3] He earned his Ph.D. in 1957 from Princeton University under the supervision of John Coleman Moore.
In 1969 he proved in full generality what is now known as the Stallings–Swan theorem.[4] [5] He is the Louis Block Professor Emeritus of Mathematics at the University of Chicago.[6]
His doctoral students at Chicago include Charles Weibel, also known for his work in K-theory.
Awards and honors
In 1970 Swan was awarded the American Mathematical Society's Cole Prize in Algebra.
Books
- Book: Swan, R. G.. The Theory of Sheaves. The University of Chicago Press. Chicago. 1964. Chicago lectures in mathematics.
- Book: Swan, R. G.
. 10.1007/BFb0080281 . 0245634 . Springer-Verlag . Berlin, New York . Lecture Notes in Mathematics . 76 . Algebraic K-theory . 1968. 978-3-540-04245-7 .
- Book: Swan, Richard G.
. Notes by E. Graham Evans . 10.1007/BFb0059150 . 0308195 . Springer-Verlag . Berlin, New York . Lecture Notes in Mathematics . 149 . K-theory of finite groups and orders . 1970. 978-3-540-04938-8 .
External links
Notes and References
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- Web site: Putnam Competition Individual and Team Winners . Mathematical Association of America. December 10, 2021.
- Weigel, Thomas. Zalesskii, Pavel. Virtually free pro-p products. 2016. 1305.4887. math.GR.
- Swan, R. G.. 1969. Groups of cohomological dimension one. Journal of Algebra. 12. 4. 585–610. 10.1016/0021-8693(69)90030-1. free.
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