Joseph Masters
Dept. of Mathematics
SUNY Buffalo
Buffalo, NY 14260-2900
Tel. (716) 645-6284 x120
jdmaster (at) buffalo (d o t) edu

Asst. Professor of Mathematics.

Research Interests

Math Papers

  • Are available here

    Computer Programs (For GAP Version 4)

  • Whitehead Algorithm Given a collection of words in a free group F, determines smallest free factor of F which contains them.
  • Instructions for whitehead.gap
  • Heegaard diagrams Determines if a given word (on two letters) is geometric.
  • Instructions for geomtest.gap
  • multihandle.gap Multi-handle addition: Given a geometric word (on two letters), program attempts to find an incompressible surface in a cyclic cover of the corresponding 3-manifold (requires whitehead.gap).
  • Virtually Haken surgeries:bundletwist.gap Given an automorphism of a punctured torus, the program attempts to show that the associated bundle has a cyclic cover which admits only finitely many non-Haken surgeries. Written for GAP 4.4.5, and may not work on earlier versions.
  • Instructions for bundletwist.gap

    Teaching

  • Math 141

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