Robion Kirby

Robion Cromwell Kirby (born 1938) is a Professor of Mathematics at the University of California, Berkeley who specializes in low-dimensional topology. He coinvented the Kirby–Siebenmann invariant for classifying the PL-structures on a topological manifold and proved the fundamental result on the Kirby calculus, a method for describing 3-manifolds and smooth 4-manifolds by surgery on framed links. Along with his significant mathematical contributions, he is an influential figure in the field, with over 50 doctoral students and his famous problem list.

He was born in 1938 and received his PhD from the University of Chicago in 1965. He soon became an assistant professor at UCLA. While there he developed his "torus trick" which enabled him to prove in dimensions greater than four (with additional joint work with Larry Siebenmann), four of Milnor's seven most important problems in geometric topology. Consequently, in 1971, he was awarded the Oswald Veblen Prize in Geometry by the American Mathematical Society.

In 1995 he became the first mathematician to receive the National Academy of Science's Award for Scientific Reviewing for his problem list in low-dimensional topology. He was elected to the National Academy of Sciences in 2001.

Books

* [http://www.maths.ed.ac.uk/~aar/haupt/ks76.pdf "Foundational Essays on Topological Manifolds, Smoothings, and Triangulations."] by Robion C. Kirby, Laurence C. Siebenmann ISBN 0-691-08191-3
*"Topology of 4-Manifolds" by Robion C. Kirby ISBN 0-387-51148-2

External links

*Kirby's [http://math.berkeley.edu/~kirby/ home page] .
*Kirby's [http://math.berkeley.edu/~kirby/problems.ps.gz list of problems in low dimensional topology] . (This is a large 380 page gzipped ps file.)
* [http://www.msp.warwick.ac.uk/gtm/1999/02/biog.html Biographical notes] from the [http://dx.doi.org/10.2140/gtm.1999.2 Proceedings of the Kirbyfest] in honour of his 60th birthday in 1998.
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