Allen Hatcher

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

Biography

Hatcher was born in Indianapolis, Indiana.<ref name="IAS"/> After obtaining his B.A. and B.Mus. from Oberlin College in 1966,<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> he went for his graduate studies to Stanford University, where he received his Ph.D. in 1971.<ref name="IAS">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> His thesis, A K₂ Obstruction for Pseudo-Isotopies, was written under the supervision of Hans Samelson.<ref>Template:MathGenealogy</ref>

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.<ref name="IAS"/> 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.<ref name="Cornell">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

In 1978 Hatcher was an invited speaker at the International Congress of Mathematicians in Helsinki.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

In 1983 Hatcher proved the Smale conjecture, named after Stephen Smale.<ref>Visualization and Mathematics: Experiments, Simulations and Environments. pg. 5. Germany: Springer Berlin Heidelberg, 2012.</ref><ref>Template:Cite journal</ref>

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, <math>\mathrm{Diff}(S^{3})\simeq {\mathrm O}(4)</math>, Annals of Mathematics (2) 117 (1983), no. 3, 553–607.

Books

• Template:Cite book
• {{#invoke:citation/CS1|citation

|CitationClass=web }}

• {{#invoke:citation/CS1|citation

|CitationClass=web }}

• {{#invoke:citation/CS1|citation

|CitationClass=web }}

• {{#invoke:citation/CS1|citation

|CitationClass=web }}

External links

• {{#invoke:citation/CS1|citation

|CitationClass=web }}