William Jaco

William Jaco
William Jaco at Oberwolfach in 2012
Born (1940-07-14) July 14, 1940
Grafton, West Virginia, United States
Residence Stillwater, Oklahoma, United States
Alma mater B.A., Fairmont State College
M.A., Pennsylvania State University
Ph.D (1968) University of Wisconsin-Madison
Known for JSJ decomposition
Awards Grace B. Kerr Professor
Scientific career
Fields Mathematics, Topology, and Geometry
Institutions Oklahoma State University

Dr. William "Bus" H. Jaco (b. July 14, 1940 in Grafton, West Virginia) is an American mathematician, who currently resides in Stillwater, Oklahoma. Jaco is known for his role in the Jaco–Shalen–Johannson decomposition theorem and is currently a professor at Oklahoma State University.

Awards and honors

In 1998 he was elected fellow of the American Association for the Advancement of Science (AAAS) and in 2012 he became a fellow of the American Mathematical Society.[1]

Jaco has held the distinguished positions of Regents Professor (2008)[2] and Grace B. Kerr Professor at Oklahoma State University.

To commemorate Jaco's 70th birthday and his career as a mathematician, Oklahoma State University held a conference in topology called Jacofest in June 2010[3].

Education and career

Jaco received a B.A from the Fairmont State College and an M.A. from Pennsylvania State University. He completed his Ph.D. in 1968 at the University of Wisconsin-Madison.

One of his doctoral students (joint with Karol Borsuk) was Krystyna Kuperberg.

Publications

  • William Jaco Lectures on Three-Manifold Topology ISBN 0-8218-1693-4
  • W. H. Jaco, P. B. Shalen Seifert Fibered Spaces in Three Manifolds: Memoirs Series No. 220 (Memoirs of the American Mathematical Society ; v. 21, no. 220) ISBN 0-8218-2220-9
  • William Jaco, J. Hyam Rubinstein, & Stephan Tillman "Z2 –Thurston Norm and Complexity of 3–Manifolds" [4]
  • William Jaco, J. Hyam Rubinstein, & Stephan Tillman "Coverings and Minimal Triangulations of 3–Manifolds" [5]
  • William Jaco, J. Hyam Rubinstein, & Stephan Tillman "Minimal triangulations for an infinite family of lens spaces" [6]
  • William Jaco, J. Hyam Rubinstein, & Eric Sedgwick "Finding planar surfaces in knot- and link-manifolds" [7]
  • William Jaco & J. Hyam Rubinstein "Layered-triangulations of 3-manifolds" [8]
  • William Jaco & J. Hyam Rubinstein "0-efficient triangulations of three-manifolds" [9]
  • William Jaco & Eric Sedgwick "Decision problems in the space of Dehn fillings" [10]
  • William Jaco, J. Hyam Rubinstein, & David Letscher "Algorithms for essential surfaces in 3-manifolds" [11]

References

  1. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-01-26.
  2. ↑ Jaco, William. "Regent's Professor Status". Retrieved 14 December 2011.
  3. ↑ Jaco, William. "Jaco's Birthday Conference". Retrieved 14 December 2011.
  4. ↑ Jaco, Rubinstein, Tillman. "Z2 - Thurston Norm and Complexity of 3-Manifolds" (PDF). Retrieved 13 December 2011.
  5. ↑ Jaco, Rubinstein, Tillman. "Coverings and Minimal Triangulations of 3-Manifolds" (PDF). Retrieved 13 December 2011.
  6. ↑ Jaco, Rubinstein, Tillman. "Minimal Triangulations for an Infinite Family of Lens Spaces" (PDF). Retrieved 13 December 2011.
  7. ↑ Jaco, Rubinstein, Sedgwick. "Finding planar surfaces in knot- and link-manifolds". Retrieved 14 December 2011.
  8. ↑ Jaco, Rubinstein. "Layered-triangulations of 3-manifolds". Retrieved 14 December 2011.
  9. ↑ Jaco, Hyam. "0-efficient triangulations of three-manifolds". Retrieved 14 December 2011.
  10. ↑ Jaco, Sedgwick. "Decision problems in the space of Dehn fillings". Retrieved 14 December 2011.
  11. ↑ Jaco, Letscher, Rubinstein. "Algorithms for essential surfaces in 3-Manifolds". Retrieved 14 December 2011.
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