Richard Swan

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Template:Short description Script error: No such module "about". Richard Gordon Swan (Template:IPAc-en; 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.[4]

In 1969 he proved in full generality what is now known as the Stallings–Swan theorem.[5][6] He is the Louis Block Professor Emeritus of Mathematics at the University of Chicago.[7]

His doctoral students at Chicago include Charles Weibel, also known for his work in K-theory.[4]

Together with Otto Forster he proved the Forster–Swan theorem.

Awards and honors

In 1970 Swan was awarded the American Mathematical Society's Cole Prize in Algebra.

Books

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References

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  4. a b Richard Gordon Swan at the Mathematics Genealogy ProjectTemplate:EditAtWikidata
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External links

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