Research Statement

Publication List

Papers:

• Heegaard gradient and virtual fibers, math.GT/0411219.
• Period three actions on lens spaces, math.GT/0311009.
• Period three actions on the three sphere, Geometry and Topology, Vol. 7 (2003), 329-397, with Hyam Rubinstein.
• Virtually embedded boundary slopes, Topology And Its Applications (95)1 (1999), 63-74.

Slides:

• "Heegaard splittings and virtual fibers", AMS Sectional Meeting, Santa Barbara, April 2005
• "Period three actions on the three sphere", Wasatch Topology Conference, Park City, June 2003.

Here is a short overview of my thesis, intended for a general audience.

• Period three tilings of the three sphere.

• Period three actions on the three sphere are standard (with Hyam Rubinstein).

My Erdos number is 3: Maher - Rubinstein - Wormald - Erdos.