Straight knots

An invariant that I developed and am looking to computing for the standard table of knots and some classes of knots. I am researching the relation between the geometry and topology of knot complements and this new diagrammatic invariant.

Draw a knot!

Bridge Spectrum

The main topic of my thesis is bridge spectrum. Bridge spectrum is a generalization of bridge number and it looks at how a knot can interact with a surface in space, in a minimal way.

Learn more

3D Modeling and Printing

3D modeling and printing is an exciting new tool that I am exploring with my collaborator Kyle Istvan. We are in the process of building programs which we plan to put online for anyone to use.

Shapeways Store

Projects and information

Below are a few projects I have been working on, many with collaborators. Also a page with all my job application materials, including my CV and publication list.

3D modeling and printing seminar

Here is some information about the seminar in a beamer presentation of a talk I gave about it at Mathfest in Washington D.C. 2015.

Learn more

Automating .stl files

Joint work with Kyle Istvan, we have been working on producing code to make .stl files of knots, Riemann sums of surfaces, and Seifert surfaces.

Learn more


The things I have made that you might want to download. From research papers, to talks I have given, to files to 3D print, you will find it here.

Learn more

Job Application Materials

I am currently on the market for a job. Here is where I keep my CV, teaching statement, research statement, and publication list.

Learn more