Allen Hatcher

Summary

Allen Edward Hatcher (born October 23, 1944) is an American mathematician specializing in geometric topology.

Allen Hatcher
Allen Hatcher at Berkeley in 1980
Born
Allen Edward Hatcher

(1944-10-23) October 23, 1944 (age 80)
NationalityAmerican
Alma materOberlin College
Stanford University
Scientific career
FieldsMathematics
InstitutionsPrinceton University
University of California, Los Angeles
Cornell University
Thesis A K2 Obstruction for Pseudo-Isotopies  (1971)
Doctoral advisorHans Samelson
Doctoral students

Biography

edit

Hatcher was born in Indianapolis, Indiana.[1] After obtaining his B.A. and B.Mus. from Oberlin College in 1966,[2] he went for his graduate studies to Stanford University, where he received his Ph.D. in 1971.[1] His thesis, A K2 Obstruction for Pseudo-Isotopies, was written under the supervision of Hans Samelson.[3]

Afterwards, Hatcher went to Princeton University, where he was an NSF postdoc for a year, then a lecturer for another year, and then Assistant Professor from 1973 to 1979. He was also a member of the Institute for Advanced Study in 1975–76 and 1979–80.[1] Hatcher moved to the University of California, Los Angeles as an assistant professor in 1977. From 1983 he has been a professor at Cornell University; he is now a professor emeritus.[4]

In 1978 Hatcher was an invited speaker at the International Congress of Mathematicians in Helsinki.[5]

In 1983 Hatcher proved the Smale conjecture, named after Stephen Smale.[6][7]

Selected publications

edit

Papers

edit

Books

edit
  • Hatcher, Allen (2002). Algebraic topology. Cambridge: Cambridge University Press. ISBN 0-521-79160-X.
  • Hatcher, Allen. "Vector Bundles and K-Theory".
  • Hatcher, Allen. "Spectral Sequences in Algebraic Topology".
  • Hatcher, Allen. "Basic Topology of 3-Manifolds".
  • Hatcher, Allen. "Topology of Numbers".

References

edit
  1. ^ a b c "Annual Report for the Fiscal Year July 1, 1979–June 30, 1980" (PDF). Institute for Advanced Study. 1980. p. 41. Retrieved January 3, 2021.
  2. ^ Glaser, Linda B. "Mathematician Allen Hatcher receives inaugural book prize". Retrieved 21 February 2025.
  3. ^ Allen Hatcher at the Mathematics Genealogy Project
  4. ^ "Allen Hatcher, Professor Emeritus". Department of Mathematics, Cornell University.
  5. ^ "ICM Plenary and Invited Speakers". International Mathematical Union. Retrieved 2024-07-03.
  6. ^ Visualization and Mathematics: Experiments, Simulations and Environments. pg. 5. Germany: Springer Berlin Heidelberg, 2012.
  7. ^ Hatcher, Allen E. (May 1983). "A Proof of the Smale Conjecture, Diff(S3) ≃ O(4)". The Annals of Mathematics. 117 (3): 553. doi:10.2307/2007035. JSTOR 2007035.
edit
  • "Hatcher's personal homepage".