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Welcome to my mathematical home page. Since 2008 I have been an
assistant professor in the department of Mathematical Sciences at U.T. Dallas,
studing fusion categories, knot theory, and quantum logic. As of May
2015 I'll be taking
a break from working in academia to pursue some computer
science and software engineering interests.

Resume

I have written a resume. The link is to
a public version with personal information omitted. Please contact me
for the complete document.

Contact Information

Email is the best way to contact me. My
utdallas.edu address is my last name. My gmail address (for
non-university matters or after May 2015 please) is my full name.

Research Interests

My mathematical research deals with algorithmic issues in knot theory
and foundational issues in quantum computing (and especially,
topological quantum computing). My resume lists my publications and
preprints and provides brief descriptions intended for nonspecialists.

I'm working with my Ph.D. student Matthew Titsworth (physics) on the
classification of fusion categories. We're also developing software to aid
in the classification of fusion categories and computations with the
known examples. It isn't quite ready for general release, but
inquiries are welcome. Here are some examples of automatically
generated output for the fusion rules of the fibonacci category and the quantum double of S_{3}.

My Ph.D. student Zach Elewitz is working on a generalization of
the Polyak-Viro algebra which allows the construction of
knot and plane-curve diagram invariants which are not of finite type.

In preparation for a career transition, I'm currently refreshing and expanding my background in
algorithms, parallel/high-performance computing and
artificial intelligence.

Degrees and placements

B.A. in Mathematics, minor
in Computer Science, University of Iowa, 2002.

Ph.D. in Mathematics, Indiana University, 2008.

Assistant Professor, U.T. Dallas, 2008—2015.

As an undergraduate, I also spent time at Carnegie Mellon University (as a computer science
and then graphic design major), and later at St. John's College of Santa Fe
(in the great books program). While a Ph.D. student, I was a visitor
for three years (2005—2008) at U.C. Santa Barbara. I was a
visitor at The University of Iowa during the summer of 2008.

Teaching

Information about my teaching philosophy, as well as specific courses taught, can be found here.
Last modified: Tue Feb 24 22:26:54 CST 2015