418 McAllister Building
University Park, PA 16802
E-mail: turner at math dot psu dot edu
I am originally from Hazard, a small town in eastern Kentucky. I went to school at Western Kentucky Universerity with the plan of being an engineer, like several of my family members. I had this crazy idea that I was going to design roller coasters. But after an internship and the realization that roller coaster designers are not in high demand, I decided to rethink my life. So I grew a beard and took up mathematics and computer science instead. I did two REU's in cryptography which was my first introduction to Algebraic Geometry, of the applied sort. In 2009, I attended the MASS program at Penn State and decided to return there in 2010 for graduate school. I was lucky enough to find an advisor in applied Algebaic Geometry. Apart from math, my main interests are music (I play a few instruments, though I won't claim to be amazing at them), Vikings and their mythologies, kitty cats, video games, and puzzles of any sort (I have quite the collection of Rubik's products).
The fundamental objects that I study are tensor networks. These can be viewed as diagrams from the category of finite dimensional vector spaces of the complex numbers. There are several different problems associated with tensor networks that I am interested in.
My advisor is Jason Morton.