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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] Swan representation , an l projective representation of a Galois group .[2] algebraic K-theory .
Education and career [ edit ]
As an undergraduate at Princeton University , Swan was one of five winners in the William Lowell Putnam Mathematical Competition in 1952.[3] 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] University of Chicago .[7]
His doctoral students at Chicago include Charles Weibel , also known for his work in K-theory.[4]
Awards and honors [ edit ]
In 1970 Swan was awarded the American Mathematical Society 's Cole Prize in Algebra.
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 . ISBN 978-3-540-04245-7 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 . ISBN 978-3-540-04938-8 MR 0308195 .
References [ edit ]
^ "Putnam Competition Individual and Team Winners" . Mathematical Association of America . Retrieved December 10, 2021 .
^ a b Richard Gordon Swan at the Mathematics Genealogy Project
^ Weigel, Thomas; Zalesskii, Pavel (2016). "Virtually free pro-p products". arXiv :1305.4887 math.GR ].
^ Swan, R. G. (1969). "Groups of cohomological dimension one" . Journal of Algebra 12 4 ): 585–610. doi :10.1016/0021-8693(69 )90030-1
^ University of Chicago Mathematics Faculty Listing , retrieved 2015-08-31
External links [ edit ]
International
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R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=Richard_Swan&oldid=1201909565 " C a t e g o r i e s : ● L i v i n g p e o p l e ● 2 0 t h - c e n t u r y A m e r i c a n m a t h e m a t i c i a n s ● 2 1 s t - c e n t u r y A m e r i c a n m a t h e m a t i c i a n s ● P r i n c e t o n U n i v e r s i t y a l u m n i ● U n i v e r s i t y o f C h i c a g o f a c u l t y ● M e m b e r s o f t h e U n i t e d S t a t e s N a t i o n a l A c a d e m y o f S c i e n c e s ● P u t n a m F e l l o w s ● A m e r i c a n m a t h e m a t i c i a n s t u b s H i d d e n c a t e g o r i e s : ● A r t i c l e s w i t h s h o r t d e s c r i p t i o n ● S h o r t d e s c r i p t i o n m a t c h e s W i k i d a t a ● A r t i c l e s w i t h I S N I i d e n t i f i e r s ● A r t i c l e s w i t h V I A F i d e n t i f i e r s ● A r t i c l e s w i t h W o r l d C a t E n t i t i e s i d e n t i f i e r s ● A r t i c l e s w i t h G N D i d e n t i f i e r s ● A r t i c l e s w i t h I C C U i d e n t i f i e r s ● A r t i c l e s w i t h J 9 U i d e n t i f i e r s ● A r t i c l e s w i t h L C C N i d e n t i f i e r s ● A r t i c l e s w i t h N T A i d e n t i f i e r s ● A r t i c l e s w i t h M A T H S N i d e n t i f i e r s ● A r t i c l e s w i t h M G P i d e n t i f i e r s ● A r t i c l e s w i t h Z B M A T H i d e n t i f i e r s ● A r t i c l e s w i t h D T B I O i d e n t i f i e r s ● A r t i c l e s w i t h S U D O C i d e n t i f i e r s ● Y e a r o f b i r t h m i s s i n g ( l i v i n g p e o p l e ) ● A l l s t u b a r t i c l e s
● T h i s p a g e w a s l a s t e d i t e d o n 1 F e b r u a r y 2 0 2 4 , a t 1 6 : 5 1 ( U T C ) . ● T e x t i s a v a i l a b l e u n d e r t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e 4 . 0 ;
a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
