Elizabeth Denne
Department of Mathematics
Washington & Lee University
202 Robinson Hall




Summary 
This page contains details about research projects,
honors theses, and special studies that I have advised.
You can also find information about mentoring, as well as some talks
for undergraduates and high school students that I have given.
Interested in Graduate school in the mathematical sciences?
Click here
for information.

Research Experiences for Undergraduates 
A folded (5,2) torus knot from the Knot Atlas.
At Washington & Lee University
 Summer 2015 Emily Jaekle ('16) and Ryan McDonnell ('17) worked on Mathematics
and 3d printing. Click here for their results.
 Summer 2014 Mary Kamp ('15) and Xichen (Catherine) Zhu ('17) continued work on the
Folded ribbon project. Their results are found here
in the paper Ribbonlength of folded ribbon unknots in the plane.
Elsewhere:
 Fall 2011 Smith College: Eleanor Conley, Emily Meehan, Rebecca Terry worked on Folded ribbon knots
in the plane. They presented their results at Jan 2012 Joint Math Meetings, Boston, MA.
Click here
for their report (8.3 MB).
 Summer 2009 Smith College: Shivani Aryal, Shorena Kalandarishvili and Sarah Meyer studied flat knotted
ribbons. These are knots and links constructed from a rectangle of fixed width which is then folded
flat in the plane. They presented their research at the Unknot Conference 2009 at Dennison University, OH.
Click here
for their report (2.4 MB).
 Summer 2007 Smith College: Reagin (Taylor) McNeill studied the supercrossing number of knots.
 Summer 2005 Harvard University: Gerardo Con Diaz's project included a study of the
supercrossing number of knots.
Click here
for his report (3.1 MB).
 Summer 2004 Harvard University: Gerardo Con Diaz's project included an introduction
to knot theory, seifert surfaces, signature of a knot and proving that
(2,2n+1) torus knots have signature 2n for any integer n. Harvard University.
 Summer 2001, 2002 University of Illinois, UrbanaChampaign:
Associate mentor for NSF funded illiMath2001 and illiMath2002 REUs in geometry in the Mathematics
Department. The project developed a java applet
visualizing the crossing map. This software was developed further
at Technische Universitat Berlin into a project titled "Visualization in geometric knot theory", and can be found
here.

Honors Theses 
At Smith College
 Special Studies 
At Smith College
 Spring 2011 Viktoria Pardey: Algebraic Topology
 Fall 2009 Emma Schlatter ('10), Nicole Vitale ('10): Introduction to algebraic topology.
 Spring 2008 Rosanna Speller ('08): The minimum distance energy of knots.
A poster (284KB)
of her work was shown at Smith Collaborations '08.
Click here for
her report (204 KB)

Mentoring 
Interested in graduate school in mathematics? Please stop by for a chat
and we can discuss what's involved. It's usually best to start early and work on your
applications bit by bit each week.
Click here for
more information.
In Fall 2012, 2013, 2014 and 2016 I organized a mathematics GRE prep session jointly with another faculty member at WLU.
I was the organizer of a panel on Life as a graduate student
at the 2009 Women In Mathematics In New England Conference
held at Smith College on Saturday September 26, 2009. We discussed how to
find a graduate school and apply, and give tips on being a successful math graduate student. (This
is a repeat of the very successful discussion I moderated at WIMIN '08.)
I mentored a number of students from the Center for Women in Mathematics at
Smith College. They have since gone on to graduate school in mathematics and some are
now graduating with PhDs in mathematics.
I was a mentor for Gerardo Con Diaz, a Mellon Mays
Undergraduate Fellow in mathematics at Harvard University. He has since graduated with a
PhD in the philosophy of science from Yale University.

Introductory Talks 
Summer 2016 Folded ribbon knots in the plane: research with undergraduates (4MB) given at Unknot Conference III at Dennison University.
Winter 2014
Cuts & Folds: mathematics & origami
(484KB) given at the Pi Mu Epsilon induction ceremony, Mathematics Department
Washington & Lee University.
Spring 2012
Squares and other polygons inscribed in curves. (1.1MB) Mathematics Colloquium Wellesley College, Wellesley MA.
October 2009
Introduction to Geometric Knot Theory (2.1MB) Mathematics Colloquium, Connecticut State University.
July 2009 How much string does it take to tie your shoelaces,
a talk given at the
Hampshire College Summer Studies in Mathematics, Hampshire College and at the
Unknot Conference I, Denison University OH.

