Research

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.

Vita

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.


Gordian

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.


Return to Blake's Homepage.