- My primary research areas are in abstract algebra, undergraduate research, mathematics K-16 education, and the philosophy of mathematics
- I have given multiple talks about advanced mathematics and the teaching of mathematics at the University of Kentucky, Indiana Wesleyan University , the Indiana section of the Mathematical Association of America meetings, conferences for the Association of Christians in the Mathematical Sciences, and at the national Joint Mathematics Meetings. Please reference my Curriculum Vitae .
Undergraduate Research: 2011
Student Tyler Carrico calculated the probability that randomly chosen sets of elements from certain types of mathematical groups would generate those groups.
Tyler's article is published in Involve: a Journal of Mathematics, a respected journal of original mathematical research for both undergraduate and graduate students.
Below, I am with Tyler at a national Joint Mathematics Meeting, where he presented a poster on his research.