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John Edwin Luecke
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〔M. Culler, C. Gordon, J. Luecke, P. Shalen (1987). Dehn surgery on knots. The Annals of Mathematics (''Annals of Mathematics'') 125 (2): 237-300.〕 Luecke, Marc Culler, Cameron Gordon, and Peter Shalen proved the cyclic surgery theorem. In a 1989 paper〔Cameron Gordon and John Luecke, ''Knots are determined by their complements''. J. Amer. Math. Soc. 2 (1989), no. 2, 371–415.〕 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〔(The University of Texas at Austin; Faculty profile )〕〔(NSF Presidential and Honorary Awards )〕 in 1992 and Sloan Foundation fellow〔(Sloan Research Fellowships )〕 in 1994. In 2012 he became a fellow of the American Mathematical Society.〔(List of Fellows of the American Mathematical Society ), retrieved 2013-02-02.〕
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