American mathematician
Michael Handel is an American mathematician known for his work in Geometric group theory . He is a professor in the Department of Mathematics at Lehman College of the City University of New York and a professor of mathematics at the CUNY Graduate Center .
Career
Michael Handel graduated with a B.A. in mathematics from Brandeis University in 1971.[ 1] He received his Ph.D. from University of California, Berkeley , in 1975 under the supervision of Robion Kirby .[ 2] From 1975 to 1978, he was an instructor at Princeton University . He joined the faculty of Michigan State University as an assistant professor in 1978,[ 3] and was promoted to associate professor in 1983.[ 4] Handel was a visiting scholar at the Institute for Advanced Study from 1978 to 1979, and again from 1987 to 1988.[ 5] In 1990, he joined the Mathematics Department at Lehman College.
Handel is best known for developing the Train track map method in Geometric group theory in collaboration with Mladen Bestvina in 1992.[ 6] Bestvina, Feighn and Handel later proved that the group Out(Fn ) satisfies the Tits alternative , settling a long-standing open problem.[ 7] [ 8]
Awards and honors
Selected publications
Handel, Michael. "One Dimensional Minimal Sets and the Seifert Conjecture ". Annals of Mathematics (2)DOI:10.2307/1971216
Feighn, Mark; Handel, Michael. "Mapping tori of free group automorphisms are coherent". Annals of Mathematics (2)MR 1709311
Bestvina, Mladen; Feighn, Mark; Handel, Michael. The Tits alternative for Out(Fn ). I. Dynamics of exponentially-growing automorphisms. Annals of Mathematics (2), volume 151 (2000), number 2, pages 517–623
Bestvina, Mladen; Feighn, Mark; Handel, Michael. The Tits alternative for Out(Fn ). II. A Kolchin type theorem. Annals of Mathematics (2), volume 161 (2005), number 1, pages 1–59 MR 2150382
Handel, Michael; Mosher, Lee. "The free splitting complex of a free group, I: hyperbolicity". Geometry & Topology MR 3073931
See also
References
^ "Institute for Advanced Study Annual Report 1984" (PDF) . Retrieved August 18, 2020 .^ Michael Handel at the Mathematics Genealogy Project ^ "Michigan State Spartan History" (PDF) . September 21, 1978. Retrieved August 18, 2020 .^ "Michigan State Spartan History" (PDF) . May 26, 1983. Retrieved August 18, 2020 .^ "Michael Handel at the Institute for Advanced Study" . 9 December 2019. Retrieved August 14, 2020 .^ Mladen Bestvina, and Michael Handel, Train tracks and automorphisms of free groups. Annals of Mathematics (2), volume 135 (1992), number 1, pages 1–51
^ Mladen Bestvina, Mark Feighn, and Michael Handel. The Tits alternative for Out(Fn ). I. Dynamics of exponentially-growing automorphisms. Annals of Mathematics (2), volume 151 (2000), number 2, pages 517–623
^ Mladen Bestvina, Mark Feighn, and Michael Handel. The Tits alternative for Out(Fn ). II. A Kolchin type theorem. Annals of Mathematics (2), volume 161 (2005), number 1, pages 1–59
^ "Past Sloan Fellows" . Retrieved August 14, 2020 .^ "Fellows of the American Mathematical Society" . Retrieved August 14, 2020 .^ "Two GC Professors Named Fellows of the American Mathematical Society for 2014" . Retrieved August 14, 2020 .
External links
