John Edwin Luecke

John Edwin Luecke
Nationality American
Fields topology, knot theory
Alma mater University of Texas at Austin
Doctoral advisor Cameron McAllan Gordon
Known for Gordon–Luecke theorem

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]

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. ↑ The University of Texas at Austin; Faculty profile Archived 2011-09-27 at the Wayback Machine.
  4. ↑ NSF Presidential and Honorary Awards
  5. ↑ Sloan Research Fellowships
  6. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-02-02.


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