Eddie Fuller, Teaching Assistant Professor
Please note: Eddie has left the Mathematics department at Duke University; some info here might not be up to date. - Contact Info:
- Office Hours:
- by Appt.
- Education:
- Ph.D. University of Georgia, 1999
B.S. University of Georgia, 1993
- Research Interests: Geometric Knot Theory and Contact Geometry
I am currently studying the geometric properties of
holonomic knots and their relationship to Legendrian
knots. Holonomic knots are close space curves
parametrized by (-f,f',-f'') for a periodic function f.
It turns out that these curves represent all knot types
and that (ambient) isotopic holonomic knots are
holonomically isotopic. They also have interesting
geometric properties. For example, there is an easy
condition on f under which a holonomic knot has
vanishing curvature.
- Curriculum Vitae
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