Stephen M. Gersten
Template:Short description Stephen M. Gersten (born 2 December 1940) is an American mathematician, specializing in finitely presented groups and their geometric properties.[1]
Gersten graduated in 1961 with an AB from Princeton University[1] and in 1965 with a PhD from Trinity College, Cambridge. His doctoral thesis was Class Groups of Supplemented Algebras written under the supervision of John R. Stallings.[2] In the late 1960s and early 1970s he taught at Rice University. In 1972–1973 he was a visiting scholar at the Institute for Advanced Study.[3] In 1973 he became a professor at the University of Illinois at Urbana–Champaign.[1] In 1974 he was an Invited Speaker at the International Congress of Mathematicians in Vancouver.[4] At the University of Utah he became a professor in 1975 and is now semi-retired there.[1] His PhD students include Roger C. Alperin, R. Keith Dennis and Edward W. Formanek.[2]
Gersten's conjecture has motivated considerable research.[5]
Gersten's theorem
If Template:Math is an automorphism of a finitely generated free group Template:Math then Template:Math} is finitely generated.[6][7]
Selected publications
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- Template:Cite journal (See Weierstrass preparation theorem.)
- Template:Cite journal (This paper presents a proof of a conjecture made by G. Peter Scott.)
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