Matt Rathbun
University of California Dissertation Year Fellow
University of California, Davis
2125 Mathematical Sciences Building
mrathbun@math.ucdavis.edu

Research:

My research interests are in low dimensional topology, particularly 3-manifolds, and knot theory. More specifically, I am studying fibered knots, and plumbed on Hopf bands, and unknotting tunnels. My Ph.D. advisor is Abigail Thompson. I will be graduating in June, 2010.

I am working on a project with Alexander Coward and Abigail Thompson on unknotting number one, genus two fibered knots

I am also working on a project with Alexander Coward on crossing numbers of 3-manifolds and Heegaard diagrams.

Papers:

High distance knots in closed 3-manifolds. Marion Moore and Matt Rathbun. arXiv.

The visual boundary of Z^2. Kyle Kitzmiller and Matt Rathbun. arXiv.
        This is work that resulted from an REU in 2006, supervised by Moon Duchin.

Curriculum Vitae:

My CV can be found here.

Teaching:

Calculus 21C - Summer Session I 2008
Calculus 21A - Winter 2006
Calculus 21C - Winter 2006
Calculus 21A - Fall 2006

Travel and Conferences:

Conference on 3- and 4-Dimensional Topology: In Honor of Martin Scharlemann, Davis, CA; June 23-25 2009
        Local Organizing Committee
        http://www.math.yale.edu/~jj327/conference/
Junior Topologists' Research Retreat, Davis, CA; June 26-29
        Co-Organizer
        http://www.math.ucdavis.edu/~mrathbun/JTRR