| Office Location: | 307G Armstrong Hall |
| Office Phone: | 304.293.2011 x2345 |
| Dept. Fax: | |
| Email: | ef at math.wvu.edu |
| Office Hours: | T 1-2p W 1-2p or by appointment (email is best) |
| Eddie Fuller, PhD Assistant Professor |
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Assistant Professor and a member of the Institute for Math Learning . You can read more about my research below or view my vita or resume.
Click here for a list of links from my 2004 Saturday Math Series talk or click here for the presentation.
Click here for the KnotPlot site from my Knots talk
Click here for the Knot Zoo. Click on any knot there to rotate it in space.
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Click on the links for each class to see more about them. You can also view my teaching philosopy ( as .pdf or .ps ) in its current incarnation. It's continually developing. I'm currently focusing on integrating technology into my teaching more intensively. I was a Project NExT fellow for 2001-02. Students in my classes should take a look at A Guide to Writing in Mathematics Classes by Annalisa Crannell at Franklin and Marshall College. |
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Fall 2002 |
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Ph.D. University of Georgia, 1999
B.S. University of Georgia, 1993
My research has been in two sometimes overlapping areas.
Primarily I study the geometric structure of knots and the role it
plays in the structure of 3-manifolds. To do this I
have been using the geometric properties of holonomic knots
and their relationship to Legendrian knots. Holonomic knots are closed
space curves parametrized by (-f,f',-f'') for a periodic function f. It
turns out that these curves represent all knot types. They also have
interesting geometric properties. For example, there is an easy
condition on f under which a holonomic knot has vanishing curvature.
Recently, connections between knot theory and genetics have led me
to areas such as data mining and bioinformatics. In collaboration
with members of the computer science department of WVU I have been
working on convergence and stability properties of neural networks when
used to learn real-time data streams. Some of these ideas have
applications in image recognition and the search for structure in large
data sets. An example is using neural networks to solve the
conjugacy problem in braid groups. For a more detailed
description, see my abbreviated research
statement or longer and more detailed research
plan (view .pdf or .ps
).
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Positive Curvature Holonomic Knots (in preparation) |
.ps or .pdf |
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In addition to studying math and physics, I've spent about fifteen years working with computers. I've done web development for about five years and programmed in C, C++, Java, Pascal, HTML, ASP, Perl and an assortment of other languages at various times. You can view my resume or vita for more details.
My wife, Sarah, and I have two sons: Ethan , who is four and Nathaniel who is two. We also have a dog, Chloe, and two cats, Coda and Boomer.
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