I am a fifth year graduate student in the pure mathematics program at UC Davis. I am currently working in the Arsuaga-Vazquez lab with Mariel Vazquez in the field of DNA topology/computational knot theory.

I earned my BS in mathematics from Central Michigan University in December 2010, and my MA in mathematics from Central in June 2013. I am currently wrapping up my PhD.

My outside hobbies include music (sometimes attempting to play it), comics, Dungeons & Dragons, pole fitness, mermaiding, yoga, Rocky Horror Picture Show, and learning languages.

I have been a TA at UCD from fall 2013 to the present for the following courses:
MAT 17B: Calculus for Biology and Medicine
MAT 21C: Calculus: Partial Derivatives and Series
MAT 124: Mathematical Biology
MAT 125A and MAT 125B: Real Analysis
MAT 141: Euclidean Geometry
MAT 147: Topology
MAT 150A: Modern Algebra

Also, I have taught the following courses as an associate instructor:
MAT 16A (Fall 2014 and Summer Session I, 2015)
MAT 17B (Summer Session I, 2015)
MAT 17C (Summer Session II, 2014)
MAT 125A (Summer Session I, 2017)

In addition from 2011-2013 while working on my M.A. I taught the following courses at Central Michigan University:
Intermediate Algebra
Plane Trigonometry
Business Calculus

Grid Diagrams

My current work involves using Markov chains to explore the trends of projected writhe of grid diagrams of knots as well as some more general combinatorial questions regarding grid diagrams.


A Symmetry Motivated Link Table - Using writhe data gathered from Monte Carlo sampling of links in the simple cubic lattice, we presented a way to choose a standard isotopy class for links with minimum crossing number 9 or less. This should aid in the communication of future research where link symmetries may be important.

Master's Thesis

Covering Regions with k-Transmitters - Master's thesis exploring the k-transmitter problem, which is an extension of the art gallery problem.


2016 Blackwell-Tapia Conference and Award Ceremony
Winter 2016 MAA Golden Section Meeting

Music Eclectica - My radio show on KDRT.
My Last.fm profile - A catalogue of my music listening habits since 2007.
My Twitter - Tweet tweet.