Allen Edward Hatcher (born October 23, 1944) is an American mathematician specializing in geometric topology.
Biography
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
Papers
- Allen Hatcher and William Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (1980), no. 3, 221–237.
- Allen Hatcher, On the boundary curves of incompressible surfaces, Pacific Journal of Mathematics 99 (1982), no. 2, 373–377.
- William Floyd and Allen Hatcher, Incompressible surfaces in punctured-torus bundles, Topology and its Applications 13 (1982), no. 3, 263–282.
- Allen Hatcher and William Thurston, Incompressible surfaces in 2-bridge knot complements, Inventiones Mathematicae 79 (1985), no. 2, 225–246.
- Allen Hatcher, A proof of the Smale conjecture, , Annals of Mathematics (2) 117 (1983), no. 3, 553–607.
Books
- 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
- 1 2 3 "Annual Report for the Fiscal Year July 1, 1979–June 30, 1980" (PDF). Institute for Advanced Study. 1980. p. 41. Retrieved January 3, 2021.
- ↑ Glaser, Linda B. "Mathematician Allen Hatcher receives inaugural book prize". Retrieved 21 February 2025.
- ↑ Allen Hatcher at the Mathematics Genealogy Project
- ↑ "Allen Hatcher, Professor Emeritus". Department of Mathematics, Cornell University.
- ↑ "ICM Plenary and Invited Speakers". International Mathematical Union. Retrieved 2024-07-03.
- ↑ Visualization and Mathematics: Experiments, Simulations and Environments. pg. 5. Germany: Springer Berlin Heidelberg, 2012.
- ↑ 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.
