My research is in low-dimensional topology, generally using combinatorial methods. I began in knot theory, studying finite-type invariants, and now work on spatial graphs.
Preprints and Publications
Cayley graphs for finite N-quandles
One of my projects is classifying links with finite N-quandles. One useful way to determine whether a particular quandle is finite (and to find its size if it is) is to construct its Cayley graph. Go here for a Mathematica program to do this.
For one of my projects, my students Loren Abrams and Lowell Trott and I wrote a program, called Gordian to count the links and knots in a spatial graph. The program and user's manual are available here.
Spatial Graphs Conference, June 6-9, 2013
In June 2013, Erica Flapan, Ramin Naimi and I organized a conference on Spatial Graphs at Loyola Marymount University. Go here for information about the conference, including slides from the talks.
Invariants of Knots and Spatial Graphs, November 9-10, 2019
In November 2019, Alissa Crans, Pat Shanahan and I organized a Special Session on Invariants of Knots and Spatial Graphs at the AMS Western Section Fall meeting at UC Riverside. Go here for information about the conference, including slides from the talks.
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