I do math at Muhlenberg!

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 Spring

REU at Muhlenberg new

I am happy to announce that Muhlenberg College will host a summer mathematics Research Experiences for Undergraduates (REU) site, entitled REU: Research Challenges of Identifying Integer Sequences Using the OEIS beginning in the summer of 2016, which is funded by the National Science Foundation.

CURM (2015-2016)

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 (April 2016) new
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.


  1. (with D. Fiorilli and F. Jouve) Independence of the zeros of elliptic curve L-functions over function fields, (2016) to appear in International Mathematics Research Notices, available at arXiv:1502.05294 [math.NT].
  2. (with D. Fiorilli and F. Jouve) Prime number races for elliptic curves over function fields, (2016) to appear in Annales scientifiques de l'École normale supérieure, available at arXiv:1502.05295v2 [math.NT].
  3. (with S. Bae and H. Jung) Moebius function in short intervals for function fields, Finite Fields and Their Applications 34 (2015) 235--249.
  4. The summatory function of the Moebius function in function fields, (2011) available at http://arxiv.org/abs/1008.4711v2.
  5. (with B.-H. Im) Chebyshev's Bias in Galois Extensions of Global Function Fields, Journal of Number Theory 131 (2011) 1875--1886.
  6. (with S. Kim) Biases in the prime number race of function fields , Journal of Number Theory 130 (2010) 1048--1055.
  7. Chebyshev's Bias in Function Fields, Compositio Mathematica 144 (2008) 1351--1374.
  8. Special Units and Ideal Class Groups of Extensions of Imaginary Quadratic Fields, Mathematical Proceedings of the Cambridge Philosophical Society, 143 (2007) 265--270.
  9. (pedagogy article) Transcendental Functions, Initial Value Problems and a Different Approach to Calculus II, College Math Journal, September (2007) 288--296.
  10. Vanishing of Some Cohomology Groups and Bounds for the Order of Shafarevich-Tate Groups of Elliptic Curves, Journal of Number Theory, 111 (2005) 154--178.

Contact me!


Trumbower 110


  • Muhlenberg College
  • 2400 Chew st.
  • Allentown
  • PA, 18104