Current Research
I am studying the relationship between the ideal of a finite set of points in the projective plane and the ideal of cones over the points. How does the geometric arrangement of the points impact this relationship?
Previous Research
Quandle Coloring Quivers (with Sam Nelson). Journal of Knot Theory and Its Ramifications, Vol. 28, No. 01; https://arxiv.org/abs/1807.10465
Quandle Cocycle Quivers (with Sam Nelson). Topology and its Applications, Vol. 268; https://arxiv.org/abs/1904.09207
Density of Periodic Points of Lattès maps of Finite Fields (with Zoë Bell, Jasmine Camero, Trevor Hyde, Chieh-Mi Lu, Bianca Thompson, Eric Zhu). Journal of Number Theory; https://arxiv.org/abs/2103.00074
Generalizations of Triangle Inequalities to Spherical and Hyperbolic Geometry (with Jacob Naranjo). https://arxiv.org/abs/1805.11442
some Inkscape diagrams I made in my previous life as an algebraic knot theorist