# Robert John Quarles

### Department of Mathematics | Louisiana State University

## Home

Greetings! I am a 6th year graduate student in mathematics at Louisiana State University who is interested primarily in low dimensional topology, specifically knot theory. I work under the supervision of Oliver Dasbach and Shea Vela-Vick.

## Current Projects

My current research deals mainly with a polynomial time knot polynomial, defined by Dror Bar-Natan and Roland van der Veen, which is a simple, strong knot invariant that is closely related to the Alexander polynomial. In my work I prove how the invariant acts under the connected sum operation, give a state sum formulation for the invariant, and explore how to build the invariant from a set of smaller pieces (giving the explicit construction for the family of T(2,2n+1) torus knots).

**Contact Information:**

email: rquarl1@lsu.edu

office: Prescott Hall 245 A

Department of Mathematics

Louisiana State University

Baton Rouge, LA 70803