I am interested in Discrete Geometry. Specifically, I study discrete configurations of points, circles, and spheres. I am motivated by endeavors to characterize circle packings and projective polyhedra up to Möbius transformations. Currently, I am exploring global rigidity (uniqueness); in the next phase of my research, I will focus on existence. I aim to use this as a path into studying projective structures on manifolds.
Here are a few powerpoints from talks I've given in the past year. I frequently give chalk talks.
- My flashtalk, A Correspondence Between Projective Geometry and Circle Geometry I did for FSU Math Department's Graduate Research Week in March 2019.
- My poster, Rigidity of Configurations of Points and Spheres I also did for FSU Math Department's Graduate Research Week, in which I won 1st prize in the poster contest.
- My talk, Rigidity of Configurations of Points and Spheres, done for the 2019 UF-FSU Topology and Geometry Meeting in February.
Papers in Progress
Dissertation: Rigidity of Points, Circles, and Spheres