My academic interests include Algebraic and Computational Geometry and Commutative Algebra. My dissertation research is in the area of representation theory while my master's thesis heavily involved polynomial rings and a whole lot of work with the package Mathematica. I used it extensively to show that the ring of invariants under a particular group of order 24 is generated by only 4 polynomials.

You can also take a look at some of the Mathematical Links I've found over time.

Here is the list of papers (some published and some not) that I've written or helped write:

• A review of Mathematical Aspirations Connected With Mathematics, (published in MAA Reviews)
• What I learned From...Giving Oral Examinations, (published in March 2007 MAA FOCUS)
• Using Letter-Writing to Enhance a Calculus Course, (published in December 2005 PRIMUS)
• FoxTrot Brings Mathematics to the Comics Page, (published in November 2005 Math Horizons)
• Using Mathematica with Multivariable Calculus (published in 1999 ASEE Annual Conference and Expo Proceedings)
• Using the WWW in Multivariable Calculus to Enhance Visualization (published in Int. J. Engng Ed.)
• Deformations of Simple Representations of Two-Generator HNN Extensions, (doctoral dissertation)
• Geometric Invariant Theory of Finite Matrix Groups, (masters thesis)
• Geometric Invariant Theory of Finite Matrix Groups, (compactified masters thesis)
• Some Results in Transcendental Number Theory

Here are links to the overhead slides of most of the talks/posters I've presented at conferences:

• Documents for Teaching a Summer UBMS Unit on Mathematics and Voting
• Leading a Book Discussion in a Liberal Arts Mathematics Class
  • Given at the 2008 Iowa Section MAA Meeting -- April, 2008
• Using Oral Exams to Help Prepare Future Elementary Mathematics Teachers
  • Given at the 2007 MAA MathFest -- August, 2007
• The Mathematics Seminar at Central College
  • Given at the 2007 MAA MathFest -- August, 2007
• Using Oral Exams to Help Prepare Future Elementary Mathematics Teachers
  • Given at the 2007 Iowa Section MAA Meeting -- April, 2007
• The Mathematics Seminar at Central College
  • Given at the 2006 San Antonio Joint AMS/MAA Meetings -- January, 2006
• Polynomiography: A New Form of Mathematical Art
  • Given at the 2005 Southeastern Section MAA Meeting -- March, 2005
• Using Letter Writing to Enhance a Calculus Course
  • Given at the 2004 Iowa Section MAA Meeting -- April, 2004
• Hollywood Needs More Mathematicians!
  • Given at Science Day at Central College -- 2003, 2004
• On the Use of Computer Algebra Syntax in the Calculus Classroom
  • Given at the 2003 Iowa Section MAA Meeting -- April, 2003
• Some Simple Representations of BS(2,3) and Their Deformations
  • Given at the 2002 San Diego Joint AMS/MAA Meetings -- January, 2002
• A Computational Study of the Linear Representations of BS(2,3)
  • Given at the University of Houston - Clear Lake -- March, 2001
• Coloring Graphs Using Algebra and a CAS
  • Given at the 2001 New Orleans Joint AMS/MAA Meetings -- January, 2001
  • Also given at Arkansas Tech University -- March, 2000
• Trigonometric Identities are Algorithmic
  • Given at the 1999 San Antonio Joint AMS/MAA Meetings -- January, 1999
• Can Students Learn From Our Mistakses?
  • Given at Southern Nazarene University -- March, 1999
• Rings of Invariants and Grobner Bases
  • Given at Texas Lutheran University -- April, 1997