Cameron Gordon holds a Sid W. Richardson Foundation Regents Chair in Mathematics at the University of Texas at Austin. He works in low-dimensional topology and knot theory. In 1989 he and John Luecke proved that knots are determined by their complements, answering a question raised in 1908. Gordon was born in Scotland on March 2, 1945. He attended the University of Cambridge where he received his B.A. in 1966 and his Ph.D. in 1971. He spent the years 1970-72 at Florida State University, and on returning to Cambridge was elected to a Research Fellowship at Gonville and Caius College. In 1976-77 he was a Member of the Institute for Advanced Study at Princeton, and in 1977 joined the faculty of the Department of Mathematics at the University of Texas at Austin, where he has been ever since. He became a US citizen in 2015. Gordon has held Fellowships from the Alfred P. Sloan Foundation and the John Simon Guggen- heim Foundation. He was elected a Corresponding Fellow of the Royal Society of Edinburgh in 2005, and to the National Academy of Sciences in 2023. He has been doctoral advisor to 39 Ph.D. students.

Research Interests

Gordon’s research interests are in low-dimensional topology. This includes knot theory and the study of manifolds of dimensions 3 and 4. Topics he has worked on include knot concordance, Dehn surgery, Heegaard splittings of 3-manifolds, knotted 2-spheres in the 4-sphere, and decision problems. He is currently working on the L-space Conjecture, which posits the equivalence for 3- dimensional manifolds of three properties with very different characters, the first purely algebraic, the second geometric-topological, and the third ultimately analytic.

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Section 11: Mathematics