### 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.eduOffice Location: Math and Science Center, N406

Office Phone: 404-727-7581

### Research

#### Papers

#### Presentations

Presented at:

Graduate Research Workshop in Combinatorics; University of Denver, July 2017

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