Mathematics Background
Education
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B.S.
1979Mathematics (Physics minor) — Texas Tech University
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M.S.
1982Mathematics (Physics minor) — Texas Tech University
Thesis: Invariant Imbedding Applied to Singular Inhomogeneous Two-Point Boundary Value Problems
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Ph.D.
(a.b.d.)Mathematics (Physics minor) — Simon Fraser University
Thesis: The Resistive Strip Integral Equation
The Ph. D. thesis concerns Electromagnetic Scattering theory, and involves Numerical, Functional, and Real Analysis, and Differential and Integral Equations.
Passed comprehensive exams for Ph.D. at SFU in Complex Analysis, Numerical Analysis and Partial Differential Equations.
Fields of study
My background is primarily in mathematical analysis: my education included graduate level courses in Complex, Real, Numerical, and Functional Analysis, and Differential and Integral Equations.
In Numerical Analysis, studied a variety of methods for Numerical Linear Algebra including the Multigrid method, various discretization schemes for Differential and Integral Equations (in particular, Two-Point Boundary Value problems and Fredholm Integral Equations). I wrote computer programs implementing each method studied.
Other fields of mathematical study include Linear Programming, Distribution theory and Topology.
I organized two year-long seminars with other students and professors, one on Geometry and Differential Equations, the other on Differential Geometry.
In Physics, I studied Quantum Mechanics, Relativity, and Electromagnetism.
Current projects
Math remains a hobby for me. Lately I have become interested in the Quaternion algebra and their analysis (something like the analysis of complex numbers). I have written some web pages on the topic.
Recently, I became interested in Soliton theory. I read the first two chapters of a book on the topic, but then got carried away writing a program to illustrate a point in that theory.
I am self-instructed in Relativity, with a good grounding on the Special theory, and a good introduction to the General theory.
Instruction
TA’ed math courses at SFU for nine years. Taught all of the applied math courses offered at SFU (some of them many times).
Taught business math, Geometry and Calculus at Texas Tech.
Publication
“Theory of Collectively Compact Operators Applied to a One-Dimensional Electromagnetic Scattering Problem” Congressus Numerantium v. 61, May 1988 Utilitas Mathematica Publishing Inc., Winnipeg