I am a 5th year mathematics graduate student and a PhD candidate at Emory University.
Advisor: Ron Gould.
Curriculum Vitae: Keller_CV.pdf.
My research interests lie mainly in extremal and structural graph theory. I enjoy a variety of problems, especially those involving paths and cycles, matchings, colorings, and independence. I have also recently become interested in zero forcing. I am currently working on projects in zero forcing and rainbow matching, as well as some results concerning the existence of many chorded cycles in a graph. My dissertation work involves finding different degree sum conditions that are sufficient to imply a graph contains many disjoint cycles or chorded cycles.
Outside of Mathematics, I enjoy playing violin and piano, reading thrillers, and playing board games and RPGs.
Office Location: Math and Science Center, N406
Office Phone: 404-727-7581
Papers On Vertex-Disjoint Cycles and Degree Sum Conditions (with R. J. Gould and K. Hirohata). Discrete Mathematics, Accepted.
On Chorded Cycles and Degree Sum Conditions (with R. J. Gould and K. Hirohata), in progress.
Zero Forcing Polynomial of a Graph (with K. Boyer, B. Brimkov, S. English, D. Ferrero, R. Kirsch, M. Phillips, and C. Reinhart), in progress.
Degree Sum Conditions to Imply Cycles Presented at: Graduate Research Workshop in Combinatorics; University of Denver, July 2017
On Disjoint Cycles and Degree Conditions Presented at: 48th SE Int'l Conference on Combinatorics, Graph Theory, and Computing; FAU, March 2017 Discrete Mathematics Seminar; Kennesaw State University, Feb. 2017 Recent Advances in Linear Algebra and Graph Theory; UTC, March 2016
Emory University, Fall 2013-Spring 2017
Calculus 2, Instructor of Record - Syllabus
Calculus 1, Instructor of Record
Calculus 1 with Lab, Lab Instructor
Life Sciences Calculus 2, Teaching Assistant
Life Sciences Calculus 1, Teaching Assistant
Numerical Analysis 1, Teaching Assistant
Real Analysis 1, Grader