# 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.

John Edwin Luecke | |
---|---|

Nationality | American |

Alma mater | University of Texas at Austin |

Known for | Gordon–Luecke theorem |

Scientific career | |

Fields | topology, knot theory |

Doctoral advisor | Cameron McAllan Gordon |

## 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]

## References

- M. Culler, C. Gordon, J. Luecke, P. Shalen (1987). Dehn surgery on knots. The Annals of Mathematics (
*Annals of Mathematics*) 125**(2)**: 237-300. - Cameron Gordon and John Luecke,
*Knots are determined by their complements*. J. Amer. Math. Soc. 2 (1989), no. 2, 371–415. - The University of Texas at Austin; Faculty profile Archived 2011-09-27 at the Wayback Machine
- NSF Presidential and Honorary Awards
- Sloan Research Fellowships
- List of Fellows of the American Mathematical Society, retrieved 2013-02-02.

## External links

- John Edwin Luecke at the Mathematics Genealogy Project
- Luecke's home page at the University of Texas at Austin

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