Andrew Casson

From Wikipedia, the free encyclopedia

This biography of a living person does not cite any references or sources. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately, especially if potentially libelous or harmful. (June 2008) Find sources: (Andrew Casson – news, books, scholar)

Andrew John Casson FRS (born 1943) is a mathematician, an expert on geometric topology, and a member of the Department of Mathematics at Yale University in the United States. He served as department chair from 2004 to 2007.

Casson's Ph.D. advisor at the University of Liverpool was C. T. C. Wall, but he never completed his Ph.D. What would have been his Ph.D. thesis became his fellowship dissertation as a research fellow at Trinity College, Cambridge, though he has been the advisor to over 20 doctoral students. He was Professor of Mathematics at the University of Texas at Austin from 1981 to 1986, at the University of California, Berkeley from 1986 to 1999, and has been at Yale since 2000.

In 1991, he was awarded the Oswald Veblen Prize in Geometry by the American Mathematical Society. In 1998 he was elected to Fellowship of the Royal Society.

Casson's has worked in both high-dimensional manifold topology and 3 and 4 dimensional topology, using both geometric and algebraic techniques. Among other discoveries, he contributed significantly to the disproof of the manifold Hauptvermutung, introduced the Casson invariant, an important modern invariant for 3-manifolds, and Casson handles, used in Freedman's proof of the 4-dimensional Poincaré conjecture.

[edit] External links

• The Hauptvermutung book (including Casson's 1967 Trinity College fellowship dissertation)
• Conference in honor of Casson's 60th birthday, Austin, 2003, with biographical information
• Photos from conference, including the `honorary degree' presented to Casson by the participants
• Andrew Casson at the Mathematics Genealogy Project