I do number theory and arithmetic dynamics.
Here is my curriculum vitae.
Shabnam Akhtari, Clayton Petsche, Holly Swisher, and I organize Oregon Number Theory Days, a triannual number theory seminar rotating between Oregon State University, Portland State University, and the University of Oregon.
John Caughman and I organize the Portland State University Discrete Math Seminar.
Research:

The cycle structure of unicritical polynomials, with Andrew Bridy.
(To appear in International Mathematics Research Notices.)

A probabilistic heuristic for counting components of functional graphs of polynomials over finite fields, with Elisa Bellah, Erin Tannenbaum, and Noah Walton.
Involve 11 (2018), no. 11, 169–179.
(Here is the arXiv version.)

Dynamically distinguishing polynomials, with Andrew Bridy.
Res. Math. Sci. 4 (2017), no. 13, 1–17.
(Here is the arXiv version.)

A weighted Möbius function.
Discrete Math. 340 (2017), no. 9, 2200–2207.
(Here is the arXiv version.)

Some finite abelian group theory and some qseries identities.
Ann. Comb. 20 (2016), no. 2, 361–371.
(Here is the arXiv version.)

Random matrices, the CohenLenstra heuristics, and roots of unity.
Algebra Number Theory 9 (2015), no. 1, 149–171.
(Here is the arXiv version.)

Abelian surfaces over finite fields with prescribed groups, with Chantal David, Zachary Scherr, Arul Shankar, Ethan Smith, and Lola Thompson.
Bull. London Math. Soc. 46 (2014), no. 4, 779–792.
(Here is the arXiv version.)

Graph components and dynamics over finite fields, with Ryan Flynn.
Int. J. Number Theory 10 (2014), no. 3, 779–792.
(Here is the arXiv version.)

The anumbers of Jacobians of Suzuki curves, with Holley Friedlander, Beth Malmskog, Rachel Pries, and Colin Weir.
Proc. Amer. Math. Soc. 141 (2013), 3019–3028.
(Here is the arXiv version.)