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 will be finishing my PhD "soon" (hire me! ;P).

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

I have worked on several projects during my time at UC Davis:


Link Nomenclature

Used the BFACF algorithm to find the average trend of writhe for prime 2-component links through 9 crossings. Then used these results along with the symmetry type of each of these links to propose a canonical isotopy class for each link in order to disambiguate future research where the precise isotopy class of a link is important. Work in collaboration with Michelle Flanner. Paper is pending.

Minimum Step Links

Used BFACF to find and sample minimum length cubic lattice representations of prime 2-component links. Work in collaboration with Gabriel Freund. Paper is pending.

Grid Diagrams

Developed a Markov chain algorithm for Monte Carlo sampling of grid diagrams of links to observe projected writhe trends and compare to cubic lattice writhe trends. This has led to the several combinatorial questions about grids as well. The original Markov chain algorithm has additionally been modified to implement the Wang-Landau algorithm, which will aid in answering these combinatorial questions.

Posters

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.