Michael J. Williams

Research

My research interests are in low dimensional topology, especially 3-manifolds and knot theory. In particular, I study Dehn surgery on knots in the 3-sphere. My Ph.D. advisor is Professor Abigail Thompson.

Feel free to view my cv and my research statement.

Preprints:

Lens space surgeries & primitive/Seifert type constructions,  arXiv

Lens space surgeries & primitive/toroidal constructions,  pdf (draft version)

Notes/Slides from Talks:

Lens space surgeries and tunnel number one knots. This talk was given in the special session on Heegaard splittings, Bridge Positions and Low Dimensional Topology at the 2008 Joint AMS-MAA meetings.
pdf slides

Lens space surgeries and tunnel number one knots. This talk was given on April 9, 2008 for Abby Thompson's MAT 280 class.
pdf slides

Rough notes from my MAT 280 lectures on April 30, May 2 and May 5 of 2008.
scanned pdf (in bw; color version will replace this one soon)

UC Davis Teaching

Math Links