I am a fourth 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. More specifically, using knot theory to examine bacterial DNA.
I earned my BS in mathematics from Central Michigan University in December 2010, and my MA in mathematics from Central in June 2013
My outside hobbies include music (sometimes attempting to play it), comics, Dungeons & Dragons, pole fitness, yoga, Rocky Horror Picture Show, and Japanese.
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 125A and MAT 125B: Real Analysis
MAT 141: Euclidean Geometry
MAT 147: Topology
MAT 150A: Modern Algebra
In addition from 2011-2013 while working on my M.A. I taught the following courses at Central Michigan University:
The central goal of my research is to designate a consistent nomenclature for a chiral knot versus its mirror image. This work also extends to links. The approach, thus far, has been to use BFACF simulations to consider the writhe of ensembles of knots in the cubic lattice. I am extending this work to grid diagrams, including writing a Markov Chain algorithm similar to BFACF for Monte Carlo sampling. This work is mostly done in Python, but also incorporates KnotPlot and C++. Simulations are run on a large processing cluster.
I have presented the following posters:
2016 Blackwell-Tapia Conference and Award Ceremony
Winter 2016 MAA Golden Section Meeting