Jon Harrison, Ph.D.
Associate Professor of Mathematics
Ph.D. in Mathematics, University of Bristol, 2001
Dr. Harrison joined the Baylor faculty in 2007. Prior to coming to Baylor served as a post-doctoral researcher at the Universität 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. To date Dr. Harrison has supervised two Ph.D. students
Dr. Harrison's research is in mathematical physics. He is particularly interested in quantum mechanics on graphs and quantum chaos. Topics of particular interest include anyons on graphs, zeta functions of graphs, the Dirac operator and dynamical calculations of spectral statistics.
Complete dynamical evaluation of the characteristic polynomial of binary quantum graphs, J.M. Harrison and T. Hudgins, J. Phys. A (2022) https://doi.org/10.1088/1751-8121/ac95e1 arXiv:2101.00006
Simons Foundation Collaboration Grant 354583, “Quantum Statistics of Networks Collaboration,” PI, 2015-2022.
NSF Conference Grant DMS-1838054, “Texas Analysis and Mathematical Physics Symposia,” PI (with B. Simanek), 2018-2019.
NSF Grant DMS 0604859 ``Spectral Properties of Quantum Graphs and Related Systems,'' CoPI (with G. Berkolaiko and B. Winn), 2006-2010.
Former Ph.D. Students
Victoria Hudgins (Now at the Univeristy of Kansas)
Erica Oldaker (Now at Gordon College)
Dr. Harrison has taught a variety of courses including the calculus and advanced calculus sequences, foundations of mathematics, partial differential equations, linear algebra, and graduate real and complex analysis, graph theory, and nonlinear dynamics and chaos.