# Robert John Quarles

### Department of Mathematics | Berry College

## Home

Greetings! I am a Visiting Assistant Professor of Mathematics at Berry College who is interested primarily in low dimensional topology, specifically knot theory.

## 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: rjquarles (at) gmail

office: McAllister 335A

Department of Mathematics

Berry College

Mt Berry, GA 30149