# John Edwin Luecke

Last updated
John Edwin Luecke
NationalityAmerican
Alma mater University of Texas at Austin
Known for Gordon–Luecke theorem
Scientific career
Fields topology, knot theory

John Edwin Luecke is an American mathematician who works in topology and knot theory. He got his Ph.D. in 1985 from the University of Texas at Austin and is now a professor in the department of mathematics at that institution.

## Work

Luecke specializes in knot theory and 3-manifolds. In a 1987 paper [1] Luecke, Marc Culler, Cameron Gordon, and Peter Shalen proved the cyclic surgery theorem. In a 1989 paper [2] Luecke and Cameron Gordon proved that knots are determined by their complements, a result now known as the Gordon–Luecke theorem.

Dr Luecke received a NSF Presidential Young Investigator Award [3] [4] in 1992 and Sloan Foundation fellow [5] in 1994. In 2012 he became a fellow of the American Mathematical Society. [6]

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## References

1. M. Culler, C. Gordon, J. Luecke, P. Shalen (1987). Dehn surgery on knots. The Annals of Mathematics (Annals of Mathematics) 125 (2): 237-300.
2. Cameron Gordon and John Luecke, Knots are determined by their complements. J. Amer. Math. Soc. 2 (1989), no. 2, 371–415.
3. List of Fellows of the American Mathematical Society, retrieved 2013-02-02.