Michael Handel

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 Graduate Center of The City University of New York.

Michael Handel
CitizenshipUnited States
Alma materUniversity of California, Berkeley (Ph.D.)
Known forGeometric group theory
Awards
Scientific career
FieldsMathematics
InstitutionsCity University of New York
Thesis"A Resolution of Two Stratification Conjectures Concerning CS Sets" (1975)
Doctoral advisorRobion Kirby

Career

Handel received his Ph.D. from University of California, Berkeley in 1975 under Robion Kirby.[1] From 1975 to 1990, he was on the faculty of Michigan State University. Handel was a member of the Institute of Advanced Studies from 1978 to 1979, and from 1987 to 1988.[2] In 1990 he started teaching 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. [3]

Bestvina, Feighn and Handel later proved that the group Out(Fn) satisfies the Tits alternative,[4][5] settling a long-standing open problem.

Awards and honors

Selected publications
gollark: No, we use a partial Hell Superset implementation which is incompatible with this, as well as a bunch of hooks for superglobals.
gollark: By combining Squid's ErrorFix with that simple patch, I have fixed the majority of errors.
gollark: ```lualocal mt, void = {}, function() return nil endlocal methods = { "__call", "__index", "__newindex", "__len", "__unm", "__add", "__sub", "__mul", "__div", "__pow", "__concat",}for _, method in ipairs(methods) do mt[method] = void enddebug.setmetatable(nil, mt)debug.setmetatable(1, mt)debug.setmetatable(true, mt)debug.setmetatable(print, mt)local st = debug.getmetatable("")for k, v in pairs(mt) do st[k] = st[k] or v endfunction _G.error(...) print("OOPS!", ...) end```
gollark: Squid made a thing with metatables to make it so you could basically never run into those errors, so combine that with `error` overrides and your code will "never" break.
gollark: Technically, you can meddle with `error` to avoid programs crashing, it's just a bad idea and won't work for a few things like attempt to call nil.

References
  1. Michael Handel at the Mathematics Genealogy Project
  2. "Michael Handel Institute for Advanced Study". Retrieved Aug 14, 2020.
  3. Mladen Bestvina, and Michael Handel, Train tracks and automorphisms of free groups. Annals of Mathematics (2), vol. 135 (1992), no. 1, pp. 1–51
  4. Mladen Bestvina, Mark Feighn, and Michael Handel. The Tits alternative for Out(Fn). I. Dynamics of exponentially-growing automorphisms. Archived 2011-06-06 at the Wayback Machine Annals of Mathematics (2), vol. 151 (2000), no. 2, pp. 517–623
  5. Mladen Bestvina, Mark Feighn, and Michael Handel. The Tits alternative for Out(Fn). II. A Kolchin type theorem. Annals of Mathematics (2), vol. 161 (2005), no. 1, pp. 1–59
  6. "Past Sloan Fellows". Retrieved Aug 14, 2020.
  7. "Fellows of the American Mathematical Society". Retrieved Aug 14, 2020.
  8. "Two GC Professors Named Fellows of the American Mathematical Society for 2014". Retrieved Aug 14, 2020.

See also

Department of Mathematics - Faculty - Lehman College
Instituto de Matemática Interdisciplinar

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