I am an associate professor in the department of mathematics and computer science, Muhlenberg College. I received Ph.D. in 2003 from Johns Hopkins University, specializing in number theory. After teaching at Hendrix College for three years, I came to Muhlenberg College in 2007.
I teach a variety of math courses at Muhlenberg, ranging from introductory-level statistics and calculus to elective math courses such as number theory.
My research interests lie in number theory and I currently study topics related to distribution of prime numbers in the context of function fields. I enjoy working on cool math problems with undergraduates.
CV Schedule 2016 FallThe first REU at Muhlenberg College is over! Overall, 26 undergraduate students spent a wonderful summer for 9 weeks at Muhlenberg. They worked hard to prove amazing theorems, and they had a lot of fun. The next year's (2017) application process will begin sometime in January, so, please stay tuned!
Jointly with Dr. Will Gryc, I am awarded a minigrant from the Center for Undergraduate Research in Mathematics, or, CURM for the academic year of 2015-2016. This grant will support two undergraduate research teams at Muhlenberg, one of which will be supervised by myself. My team consists of two bright and talented Muhlenberg students, Emily Nguyen ('16) and Brandon Tauber ('16).
Research Update (Aug 2016) new
Our paper, entitled Quadratic forms and their Berggren trees, has been completed and is now under review. Please contact me if you'd like a copy.
Research Update (April 2016)
Our CURM team is currently focusing on generating integer triples satisfying ternary quadratic forms. The prototypical model is so-called Pythagorean triples, which satisfies the celebrated Pythagorean equation. It is known that all such integer triples that are positive and without common factor can be put into a tree-like structure by matrix multiplication. We generalize this structure to produce such trees for other ternary quadratic forms. Emily and Brandon reported our progress in the 2016 MAA/CURM spring conference at Loyola Marymount University. We are busy in writing up our final product and will make it available here soon. Stay tuned!
Emily Nguyen is a senior mathematics and English major at Muhlenberg College. In her free time, she enjoys reading (and re-reading) books and doing CrossFit. Her favorite math classes at Muhlenberg would probably be Transition to Abstract Mathematics and Abstract Algebra.
Brandon Tauber is a senior at Muhlenberg College, majoring in mathematics and minoring in computer science. After graduating he plans to attend graduate school for applied mathematics. He is a captain on the track and field team, and enjoys playing games and making art.
All of my papers can be downloaded or are linked below. If you'd like a copy of my research presentation, please feel free to contact me. You can look up my CV for more information.