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Associate Professor of Mathematics

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**Education:**

Ph.D. in Mathematics, University of Bristol, 2001

M.Sci. in Physics, University of Bristol, 1997

**Biography:**

Dr. Harrison joined the Baylor faculty in 2007. Prior to coming to Baylor served as a
post-doctoral researcher at the Universit�t Ulm in Germany (2001-2004)
and Visiting Assistant Professor at Texas A&M University (2004-2007).
He is a graduate of Bristol university in the United Kingdom and is originally from Cranleigh, UK, the birth place of the famous Cambridge mathematician G.H. Hardy.

**Academic Interests and Research:**

Dr. Harrison's research is in mathematical physics. He is particularly interested in quantum mechanics on graphs and applications of group theory in quantum chaos.

**Selected Publications:**

On occurrence of spectral edges for periodic operators inside the Brillouin zone,
arXiv:math-ph/0702035, *J. Phys. A 40* (2007), no. 27, 7597-7618 (with P. Kuchment, A. Sobolev, and B. Winn).

The Spectral Form Factor for Quantum Graphs with Spin-orbit Coupling, arXiv:nlin.CD/0511011,
In: G. Berkolaiko et. Al. (Eds) Quantum Graphs and Their Applications,
*Contemporary Mathematics*, 415, (AMS 2006), 51-64 (with J. Bolte).

The Spin Contribution to the Form Factor of Quantum Graphs, arXiv:nlin.CD/0304046,
*J. Phys. A: Math. Gen. 36 *(2003), L433-L440, (with J. Bolte).

Quantum Indistinguishability from General Representations of SU(2n), arXiv:math-ph/0302037, *J. Math. Phys. 45 *(2004), 1332-1358 (with J.M. Robbins).

Spectral Statistics for the Dirac Operator on Graphs, arXiv:nlin.CD/0210029,
*J. Phys. A: Math. Gen. 36 (2003)*, 2747-2769.

**Awards:**

NSF Grant DMS 0604859 Project: Spectral Properties of Quantum Graphs and Related Systems (with G. Berkolaiko and B. Winn)

**Teaching Interests:**

Dr. Harrison has taught a variety of courses at Baylor and previous institutions including the calculus sequence, differential equations, linear algebra and applied math for graduate students.

**Courses taught at Baylor:**

MTH 1321 - Calculus I

MTH 2321 - Calculus III