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Richard Swan

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Name
  
Richard Swan

Role
  
Mathematician

Books
  
Algebraic K-theory


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, 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.

Contents

Education and career

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.

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. 76. Berlin, New York: Springer-Verlag. MR 0245634. doi:10.1007/BFb0080281. 
  • 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. MR 0308195. doi:10.1007/BFb0059150. 

    • References

    Richard Swan Wikipedia
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