| Born and raised in Lone Pine, California, I pursued my undergraduate studies in San Diego at Point Loma Nazarene University. After four years in San Diego, I earned my B.A. in mathematics along with a certificate in computer programming. For graduate school, I chose the University of Notre Dame in South Bend, Indiana. In January 2002, I was awarded my M.S., specializing in geometric realizations of Coxeter groups under the Chevelley-Bruhat ordering. In May 2005, I receive my Ph.D. under the supervision of Katrina Barron. My dissertation work was to develop a purely algebraic notion of the comultiplication arising from compositions of genus zero world sheets equipped line bundles. Once the comultiplicative structure was developed, which are now called "vertex operator algebras", I went on to algebraically investigate the structure of these objects, to develop classes of examples, and to establish their relation to the field of vertex operator algebras. |  | |
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I have also had a long history of fascination with the art of teaching. I began tutoring when I was in the fourth grade
and by my junior and senior years of high school was often tutoring close to 2 hours a day. At Point Loma I was able
to tutor as well as assist in class laboratories. I assisted with both C++ and Maple laboratories on a paid basis.
At Notre Dame I began as a teaching assistant, but in the Summer of 2002 was able to teach my own class and quite enjoyed it. I went on to
teach several more courses, specifically Special Admissions Calculus, Business Calculus II and Finite Mathematics. | ||
| In the Spring of 2005 I was offered an assistant professorship in the Department of Mathematics and Computer Science at Stephen F. Austin State University in Nacogdoches, Texas. I gratefully accepted the offer and am currently in Texas, continuing my pursuits in both teaching and research mathematics. 2005. | ||
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| Research Statment | ||
