Colin M. Lawson

"Do not allow watching food to replace making food." Alton Brown

I'm a fourth year Ph.D. student at the University of North Texas, advised by Dr. Anne Shepler. I use Hochschild cohomology to find deformations of skew group algebras over fields acting in positive characteristic.
Curriculum Vitae
Teaching
 Spring 2020: Recitation Instructor for Math 1710; TTR 8  8:50am and 9  9:50am
 Office Hours: TTR 10:3011:30am
 Fall 2019: Instructor for Math 0340.006; MWF 2  3:50pm
 Office Hours: Mondays 9:3010:30am and Fridays 10:3011:30am
Research Interests
I currently work in algebraic deformation theory where I use techniques from homological algebra. If A is an algebra, then the idea is perturb the multiplication in the algebra slightly with parameter $t$. The multiplication is the resulting algebra may or may not be associative. I also enjoy learning about the history of homological algebra, in particular, the history leading up to Hochschild cohomology (because this is what I compute most) to deformation theory. The journey from Riemann & Betti to Noether and from Eilenburg & MacLane to Hochschild, Gerstenhaber and Schack is an interesting one.
This is my favorite chain complex.
$\begin{equation}\label{relativebar}
\cdots \stackrel{\delta_3}{\longrightarrow} A\otimes A\otimes A\otimes A
\stackrel{\delta_2}{\longrightarrow} A\otimes A\otimes A
\stackrel{\delta_1}{\longrightarrow} A\otimes A \stackrel{\delta_0}{\longrightarrow}
A\rightarrow 0
\end{equation}$
$\delta_0(a \otimes b)=ab$
$\delta_1(a \otimes b \otimes c)=ab \otimes c  a \otimes bc$
$\delta_2(a \otimes b \otimes c \otimes d)=ab \otimes c \otimes d  a \otimes bc \otimes d + a \otimes b \otimes cd$
$\vdots$
Camping & Road Trips
I grew up in Sabinal, TX  a very small town about an hour and a half west of San Antonio, along Hwy 90. I spent a lot of time outside in the hill country, so between semesters, I try to take either a short camping trip or a road trip. Sometimes it's nice to leave my computer at home and get away from the city lights. Here are some of my most recent trips.
