20182019 Travel
 September 14  15, 2018 ·
Explanation Across The Disciplines
·
Middlebury College
 October 4  7, 2018 ·
Workshop in Dynamical Systems and Related Topics
·
Pennsylvania State University
 November 2  4, 2018 ·
Midwest Dynamical Systems Conference
·
University of Minnesota
 February 22, 2019 ·
Female Faculty at Liberal Arts colleges: MathEmatics (FFLAME)
·
Denison University
 June 1014, 2019 ·
LG&TBQ: a conference in geometry, topology, and dynamics on the work of LGBTQ+ mathematicians
·
University of Michigan
 June 2830, 2019 ·
Great Lakes Mathematical Physics (GLaMP)
·
Oberlin College
 August 13, 2019 ·
MathFest ·
Cincinnati, OH
Research
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 longterm behavior of several specific dynamical systems.
 J. Fillman and M. Mei, Spectral properties of continuum Fibonacci Schrödinger operators,
Ann. Henri Poincaré 19 (2018), no. 1, 237247.
[arXiv:1702.04337]
 M. Mei and W. Yessen, Tridiagonal substitution Hamiltonians, Math. Model. Nat. Phenom. 9 (2014),
no. 5, 204238. [arXiv:1312.2259]
 M. Mei, Spectra of discrete Schrödinger operators with primitive invertible substitution potentials,
J. Math. Phys. 55 (2014), no. 8, 082701, 22. [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. A. Beck, S. Crook, C. EubanksTurner, H. G. Grundman, M. Mei, and L. Zack,
Fixed points of augmented generalized happy functions, Rocky Mountain J. Math. 48 (2018), no. 1, 4758.
[arXiv:1611.02983]
 M. Mei and A. ReadMcFarland, Numbers and the heights of their happiness, Involve 11 (2018), no. 2, 235241.
[arXiv:1511.01441]
 B. Baker Swart, K. A. Beck, S. Crook, C. EubanksTurner, H. G. Grundman, M. Mei, and L. Zack,
Augmented generalized happy functions, Rocky Mountain J. Math. 47 (2017), no. 2, 403417.
[arXiv:1410.0297]
I've supervised several undergraduate student projects in the above areas:

