My areas of expertise include Gravitational Physics, Field Theory and Mathematical Physics. I teach a variety of physics courses at the graduate and undergraduate level. The main thrust of my current work is the DifferentialGeometry project. http://digitalcommons.usu.edu/dg/
Articles
All homogeneous pure radiation spacetimes satisfy the Einstein–Maxwell equations, Classical and Quantum Gravity (2012)
It is shown that all homogeneous pure radiation solutions to the Einstein equations admit electromagnetic...
All homogeneous pure radiation spacetimes satisfy the Einstein-Maxwell equations, Classical and Quantum Gravity (2012)
It is shown that all homogeneous pure radiation solutions to the Einstein equations admit electromagnetic...
New symbolic tools for differential geometry, gravitation, and field theory (with Ian M. Anderson), Journal of Mathematical Physics (2012)
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds,...
Symmetric Criticality in Classical Field Theory, AIP Conference Proceedings (2010)
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself...
Symmetry Reduction of Quasi-Free States, Journal of Mathematical Physics (2009)
Given a group-invariant quasi-free state on the algebra of canonical commutation relations (CCR), we show...
Books
Foundations of Wave Phenomena (2004)
This is an undergraduate text on the mathematical foundations of wave phenomena.
Contributions to Books
Group Invariant Solutions in Mathematical Physics and Differential Geometry (with Ian M. Anderson and Mark E. Fels), The Geometrical Study of Differential Equations (2001)
This is a brief overview of our work on the theory of group invariant solutions...
Spinors, Jets, and the Einstein Equations, The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics (1997)
Many important features of a field theory, e.g., conserved currents, symplectic structures, energy-momentum tensors, etc.,...
Preprints
New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory (extended version) (with Ian M. Anderson) (2011)
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds,...
More
How to Create a Two-Component Spinor, How to... (2012)
Let (M, g) be a spacetime, i.e., a 4-dimensional manifold M and Lorentz signature metric...
A Homogeneous Solution of the Einstein-Maxwell Equations, Applications (2012)
We exhibit and analyze a homogeneous spacetime whose source is a pure radiation electromagnetic field...
PHYS 6210 - Quantum Mechanics, Spring 2007, Physics - OCW (2007)
After completing this course you should (1) have a working knowledge of the foundations, techniques...
01 Harmonic Oscillations, Foundations of Wave Phenomena (2004)
Everyone has seen waves on water, heard sound waves and seen light waves. But, what...
02 Coupled Oscillators, Foundations of Wave Phenomena (2004)
Our next step on the road to a bona fide wave is to consider a...