Background
My first major at OSU was Physics. I recall a lecture in a Classical Dynamics course wherein the instructor had to spend a day introducing, in a rather borish way, an entire branch of Mathematics called the Calculus of Variations in order to solve a problem. I vividly remember being more interested in the Mathematics than in the problem we were trying to solve. I didn't give up on Physics, but I did decide to explore Mathematics more deeply.
When I did eventually switch to Mathematics, my strong interest in computers pulled me into computational problems especially with regards to finite fields and cryptography. During an undergraduate cryptography class I wrote a paper which eventually became my "Writing Intensive Curriculum" or WIC paper for Mathematics.
Incidentally, I also wrote a WIC paper for Physics which was related to Astronomy, another interest of mine.
After years of Mathematics and Physics courses, I realized that I would probably need to graduate soon. Unfortunately, I had not pursued my interests in Computer Science, Electrical Engineering, or Chemistry and it was quickly becoming clear that I needed to narrow my focus at least a bit.
It was then that I discovered OSU's Engineering Physics degree. Basically, if you've taken a couple of years of Physics classes and a few of the core Engineering courses (which I had during my EE phase) then you can apply to the Engineering Professional School and take pretty much any combination of Engineering courses you like and call it a degree. Eureka! I took the senior series in VLSI design, CPU architecture and other similar coursework all relating to computers. I wish I could find my paper describing the sound analyzer I built (A/D sampler -> FFT computer -> D/A -> oscilloscope) but alas.
After undergraduate school, I applied to the graduate school at OSU in Mathematics. Again I was drawn to finite fields and cryptography and eventually wrote a M.S. paper describing a computational approach to... well, if you really want to know you can read it here.
Math Papers
- Mathematics MS: "On computing the Maximal Lattice Dimension of the Inversive Congruential Generator." Summer 1998.
- Physics B.S.: "Orbital Dynamics of Intact Particle Capture." Spring 1995.
- REU Research Paper: "Knots of the Form [a, b, c, d, e, ]." Summer 1994.
- Mathematics B.S.: "Composite Generation for RSA Applications." Fall 1993.