John Edwin Luecke Explained

John Edwin Luecke
Nationality:American
Fields:topology, knot theory
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]

External links

Notes and 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. http://www.utexas.edu/opa/experts/profile.php?id=255 The University of Texas at Austin; Faculty profile
  4. https://www.nsf.gov/awards/presidential.jsp NSF Presidential and Honorary Awards
  5. Web site: Sloan Research Fellowships. University of Texas at Austin. 2024-03-03.
  6. https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society