Cameron Gordon (mathematician)

Cameron Gordon (mathematician)

Cameron Gordon is a professor of mathematics at the University of Texas at Austin, known for his work in knot theory. Among his notable results is his work with Marc Culler, John Luecke, and Peter Shalen on the cyclic surgery theorem. This was an important ingredient in his work with Luecke showing that knots were determined by their complement. Gordon was also involved in the resolution of the Smith conjecture.

Andrew Casson and Gordon defined and proved basic theorems regarding strongly irreducible Heegaard splittings, an important concept in the modernization of Heegaard splitting theory. Casson and Gordon also worked on the slice-ribbon conjecture, inventing the Casson-Gordon invariants in the process.


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