Matt Rathbun
Research Associate
Imperial College London, South Kensington Campus
Department of Mathematics
Applied Mathematics and Mathematical Physics Division
Huxley Building 6M33

m(dot)rathbun(at)imperial(dot)ac(dot)uk


Research:

My research interests are in low dimensional topology, particularly 3-manifolds, knot theory and applications to DNA topology. More specifically, I have studied fibered knots, plumbing, Seifert surfaces, unknotting tunnels, and Heegaard splittings. I am currently working with Dorothy Buck.

I am working on several projects with Alexander Coward, Marion Moore Campisi, Mike Williams, Ken Baker, and Dorothy Buck.

Papers:

High distance knots in closed 3-manifolds. Joint with Marion Moore Campisi. (arXiv)
       Journal of Knot Theory and its Ramifications, Vol 21, No 2 (2012).

The visual boundary of Z^2. Joint with Kyle Kitzmiller. (arXiv)
        Involve, a Journal of Mathematics, Vol 4, No 2 (2011), 103--116.
        (This is work that resulted from an REU I helped supervise in 2006, sponsored and headed by Moon Duchin.)

Fibered, Tunnel One Links. (arXiv)
        Submitted.

Previous Teaching:

SpartaNature - Module on Knot Theory - Summer, 2011
Math 330 - Higher Geometry - Summer Session I, 2011
Math 432 - Axiomatic Geometry - Spring Semester, 2011
Math 310 - Abstract Algebra - Fall Semester, 2010
Math 108 - Introduction to Abstract Math - Summer Session I, 2010
Calculus 21C - Summer Session I, 2008
Calculus 21A - Winter, 2006
Calculus 21C - Winter, 2006
Calculus 21A - Fall, 2006

Conference Organization:

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
        JTRR