Ariel Keller

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.

Contact Information

Email: ariel.keller@emory.edu
Office Location: Math and Science Center, N406
Office Phone: 404-727-7581

Research

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.

  • Presentations

  • 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
  • Teaching

    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