Stephen M. Gersten

Stephen M. Gersten (born 2 December 1940) is an American mathematician, specializing in finitely presented groups and their geometric properties.

Gersten graduated in 1961 with an A.B. from Princeton University and in 1965 with a Ph.D. from Trinity College, Cambridge. His doctoral thesis was Class Groups of Supplemented Algebras written under the supervision of John R. Stallings. 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. In 1973 he became a professor at the University of Illinois at Urbana–Champaign. In 1974 he was an Invited Speaker at the International Congress of Mathematicians in Vancouver. At the University of Utah he became a professor in 1975 and is now semi-retired there.

Selected publications

• Gersten, S. M. (1973). "Higher K-theory of rings". Higher K-Theories. Lecture Notes in Mathematics. Vol. 341. pp. 3–42. doi:10.1007/BFb0067049. ISBN 978-3-540-06434-3.
• Brown, Kenneth S.; Gersten, Stephen M. (1973). "Algebraic K-theory as generalized sheaf cohomology". Higher K-Theories. Lecture Notes in Mathematics. Vol. 341. pp. 266–292. doi:10.1007/BFb0067062. ISBN 978-3-540-06434-3.
• Gersten, S. M. (1987). "Reducible Diagrams and Equations over Groups". Essays in Group Theory. Mathematical Sciences Research Institute Publications. Vol. 8. pp. 15–73. doi:10.1007/978-1-4613-9586-7_2. ISBN 978-1-4613-9588-1.
• Gersten, S. M.; Short, H. B. (1990). "Small cancellation theory and automatic groups". Inventiones Mathematicae. 102: 305–334. Bibcode:1990InMat.102..305G. doi:10.1007/BF01233430.
• Baumslag, G.; Gersten, S.M.; Shapiro, M.; Short, H. (1991). "Automatic groups and amalgams". Journal of Pure and Applied Algebra. 76 (3): 229–316. doi:10.1016/0022-4049(91)90139-S.
• Gersten, S. M.; Short, H. B. (1991). "Rational Subgroups of Biautomatic Groups". The Annals of Mathematics. 134 (1): 125–158. doi:10.2307/2944334. JSTOR 2944334.
• Gersten, S. M. (1987). "Reducible Diagrams and Equations over Groups". Essays in Group Theory. Mathematical Sciences Research Institute Publications. Vol. 8. pp. 15–73. doi:10.1007/978-1-4613-9586-7_2. ISBN 978-1-4613-9588-1.