Ph.D. in Mathematics, University of Bristol, 2001
M.Sci. in Physics, University of Bristol, 1997
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.
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.
NSF Grant DMS 0604859 Project: Spectral Properties of Quantum Graphs and Related Systems (with G. Berkolaiko and B. Winn)
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