Scott Taylor's Papers and Slides

Mathematics Papers

5. Essential surfaces in (3-manifold,graph) pairs and leveling edges of Heegaard spines. (with Maggy Tomova)

   ArXiv Preprint. October 16, 2009.

   
   
   
4. Heegaard splittings of certain graphs in compressionbodies. (with Maggy Tomova)

   ArXiv Preprint. October 16, 2009.

   
   
   
3. Adding 2-handles to sutured manifolds

   	ArXiv Preprint. June 10, 2008.
   Warning:	This paper is still under construction. At present there is a large gap in the main argument. For more details, please email me. 10/14/10 I believe I have fixed all the problems using a very different approach. A new version will appear here soon.

   
   
   
2. Boring split links

   	Pacific Journal of Mathematics. (241) 1, May 2009.
   	ArXiv Preprint. January 15, 2009.

   
   
   
1. On non-compact Heegaard splittings

   	Algebraic and Geometric Topology. Vol. 7 (2007) MR2308959
   	ArXiv Preprint. February 26, 2006 (old version).

Dissertation

• Boring split links and unknots June 10, 2008.

  	The dissertation is an amalgamation of papers 2 and 3 above. It also includes an overview of combinatorial sutured manifold theory and a longer introduction.
  If you want to see the monstrously long, properly formatted version: Read this. The version linked to above is the same, but uses many fewer pages.

Notes and Slides from Selected Presentations

• Combinatorial Sutured Manifold Theory: Past and Present
  
  • Mathematics Department Colloquium, University of Iowa. April 23, 2009.
  • Lecture Notes. (PDF)
  
  
• Boring Split Links and Unknots
  
  • U. Iowa, LSU, and Rice U. Joint Topology Seminar. April 22, 2009.
  • Slides. (PDF)
  
  
• (Not so) boring knots: An introduction to combinatorial methods in knot theory
  
  • Mathematics Colloquium, Colby College. March 12, 2008.
  • Slides. (PDF)
    Note: The file is very large (9627 kB) and some slides in the actual talk were animations that didn't translate to PDF.
  • Here are two of the animations from the talk. The files are very large. You should download them before attempting to play them. (Control-click or Command-click the link.)
    • Octahedron transformed into a Sphere
    • Twisted Unknot
  
  
• Poincare's Conjecture and Whitehead's Infinite Swindle
  
  • Mathematics Colloquium, Colby College. November 3, 2008.
  • Natural and Behavioral Sciences Seminar, Westmont College. February 29, 2008.
  • Slides. (PDF)
    Note: The file is very large (9627 kB) and some slides in the actual talk were animations that didn't translate to PDF.
  
  
• Non-compact Heegaard Splittings of Deleted-Boundary 3-Manifolds
  • 2006 Spring Sectional Meeting of the AMS. Durham, New Hampshire. April 22-23, 2006.
  • Special Session on Geometric Methods in Group Theory and Topology.
  • Slides. (PDF)

Other Papers

• Reading Flatland
  • MathFest, San Jose, California.
  • Contributed Paper in "Mathematics & the Arts".
  • Includes annotated bibliography on Flatland critical literature.
  • August 5, 2007.
  
  
• Mathematics and the Love of God: An introduction to the thought of Simone Weil  (PDF)
  • May 29, 2003.  Conference of the ACMS.  Point Loma Nazarene University, San Diego, California.
    (published in the proceedings.)
  • Republished in the inaugural edition of The Journal of the ACMS (2004).