May Mei

Assistant Professor of Mathematics
Denison University



Office Location:F.W. Olin Science Hall 204
Office Hours:Just stop by! Or email me to make an appointment.
Office Phone:740-587-6248
Email:meim@denison.edu



Fall Semester 2015 - Teaching

  • MATH 121 - 03 : Essentials of Calculus
  • MATH 210 - 01 : Introduction to Proof Techniques

Research Publications

One of my research interests involves the application of dynamical systems (uniformly hyperbolic, partially hyperbolic, symbolic) to mathematical physics. Specifically, I use dynamical techniques to investigate spectral properties of operators involved in the study of quasicrystals. I'm also interested in conducting numerical experiments related to the long-term behavior of several specific dynamical systems.
  • M. Mei and W. Yessen, Tridiagonal substitution Hamiltonians, Math. Model. Nat. Phenom. 9 (2014), no. 5, 204-238. [arXiv:1312.2259]
  • M. Mei, Spectra of discrete Schrödinger operators with primitive invertible substitution potentials, J. Math. Phys. 55 (2014), no. 8, 082701, 22pp. [arXiv:1311.0954]
Another one of my research interests lies in number theory and integer sequences. Think of a number, now square the digits and sum that. What do you get? If you keep iterating this procedure, you will either end up at a 1 or a 4. If you end up at a 1, the number you started with is called a happy number. I study several generalizations of this procedure.
  • B. Baker Swart, K. Beck, S. Crook, C. Eubanks-Turner, H. Grundman, M. Mei, and L. Zack, 1.5-Happy Functions, in preparation.
  • B. Baker Swart, K. Beck, S. Crook, C. Eubanks-Turner, H. Grundman, M. Mei, and L. Zack, Fixed Points of Augmented Happy Functions, in preparation.
  • B. Baker Swart, K. Beck, S. Crook, C. Eubanks-Turner, H. Grundman, M. Mei, and L. Zack, Augmented Generalized Happy Functions, to appear in the Rocky Mountain Journal of Mathematics. [arXiv:1410.0297]

Extracurricular


Last updated: August 20, 2015