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

Office Location: Math and Science Center, N406
Office Phone: 404-727-7581



  • On Vertex-Disjoint Cycles and Degree Sum Conditions (with R. J. Gould and K. Hirohata). Discrete Math., 341 (1) (2018), pp.203-212. Full access link:,H-cBB9X.

  • The Zero Forcing Polynomial of a Graph (with K. Boyer, B. Brimkov, S. English, D. Ferrero, R. Kirsch, M. Phillips, and C. Reinhart), submitted. arXiv:1801.08910.

  • On Chorded Cycles and Degree Sum Conditions (with R. J. Gould and K. Hirohata), in progress.

  • Invited Talks

  • On Graphs, Degree Conditions, and Cycles; Mathematics Department Colloquium, Spelman College, Nov. 2017

  • Degree Sum Conditions to Imply Cycles; Graduate Research Workshop in Combinatorics, University of Denver, July 2017

  • On Disjoint Cycles and Degree Conditions; Discrete Mathematics Seminar, Kennesaw State University, Feb. 2017

  • Contributed Talks

  • The Zero Forcing Polynomial for Cycles and Singly-chorded Cycles; Joint Mathematics Meeting, Special Session on Research from the Rocky Mountain-Great Plains Graduate Research Workshop in Combinatorics, Jan. 2018

  • On Disjoint Cycles and Degree Conditions; 31st Midwestern Conference on Combinatorics and Combinatorial Computing, University of West Georgia, Oct. 2017

  • On Disjoint Cycles and Degree Conditions; 48th SE Int'l Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University, March 2017

  • On Disjoint Cycles and Degree Conditions; Recent Advances in Linear Algebra and Graph Theory, University of Tennessee at Chattanooga, 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