*Office:* 202 Chavis Hall

*Phone:* (540) 458 8064

*Email:* dennee at wlu.edu

**Email is the most reliable way of reaching me.**

*Note: I am on sabbatical leave for AY 2020-2021.*

## Resume

I am an Associate Professor in the Department of Mathematics at Washington & Lee University.

I am originally from Australia and graduated from the University of Sydney with B.Sc. (Hons) in pure mathematics. I was awarded my Ph.D. in May 2004 from the University of Illinois, Urbana-Champaign. My PhD advisor was John M. Sullivan. From July 2004 to June 2007 I was a Benjamin Peirce Assistant Professor of Mathematics, Harvard University and from July 2007 to June 2012 I was an Assistant Professor of Mathematics at Smith College. I have been happily working at Washington & Lee University since July 2012, first as an assistant professor, then from July 2015 as an associate professor.

My CV/resume:

- Short Version – 4 pages (last updated 2/2021).
- Long Version – 10 pages (last updated 2/2021).

## Teaching

I am on sabbatical leave for AY 2020-2021.

**Click here** for more details about my teaching.

**Interested in Graduate school in the mathematical sciences? **Click here for information.

## Mathematical Visualization

- My blog Visions in Math.
- My Thingiverse page.
- Click here to find a complete description of everything we’ve been doing lately.

## Research

I am interested in **Geometric Knot Theory**. My research uses topological knot invariants to answer questions about the geometry of knots. (For example, how much bend or twist does a knot have?) I’m also interested in optimization and finding ideal knot shapes. (For example, given a piece of rope of fixed diameter, how much length is needed to tie a knot? What shape is a tight knot?) My research has applications to biology (for example the shape of folded proteins and DNA) and to physics (for example classifying glueballs in particle physics). I also work with undergraduate students on research on folded ribbon knots and the mathematics of tie knots.

**Click here** for preprints, publications and translations.

I also advise research projects for undergraduate students. **Click here** for more information.

## Links

Click here for more links. Here are some interesting things….

- MegaMenger: a world wide build of a 3D fractal.
- The Knot Atlas: a resource for knot theorists.