# Research

The above animation shows the dynamical plane (on the left) for the rational map with n = 4 and d = 3 as the parameter (on the right) begins in the center of a Sierpinski hole, passes through a Mandelbrot set, and ends in the Cantor Set Locus.

While earning a Masters in Mathematics for Teachers at Western New England College (University now), Thomas Hull was kind enough to let me work on **Flat Vertex Fold Sequences** with him. It is published in Origami 5.

I am currently studying complex dynamics with Bob Devaney. He is awesome. Specifically, we are examining structures in the parameter plane for singularly perturbed complex rational maps.

### Papers

- A Sierpinski Mandelbrot Spiral for Rational Maps of the Form z^n + lambda / z^d, in progress
- A Sierpinski Mandelbrot Spiral for z^4 + lambda / z^3, submitted Nov 2017
- Flat Vertex Fold Sequences, in Origami 5, published June 2011

### Conferences

- Joint Math Meetings, San Diego, (upcoming) January 2018 - my talks [1] [2]
- Topics in Complex Dynamics, Universitat de Barcelona, October 2017 - my talk
- Workshop on New Frontiers in Complex Dynamics: From One to Several Variables, Fields Institute, Toronto, July 2017
- Midwest Dynamical Systems Seminar, IUPUI, Indianapolis, November 2016 - my poster
- Jackfest aka North American Workshop in Holomorphic Dynamics, Cancun, May 2016
- Topics in Complex Dynamics, Universitat de Barcelona, November 2015 - my talk