Welcome!I am postdoc in the mathematics department at the University of Oklahoma, working closely with Jonathan Kujawa (Fall 2016-present). During the Spring 2018 semester, I was a postdoctoral fellow at MSRI, where I was part of a program on the representation theory of groups. During the summer of 2016, I finished my PhD at the University of Oregon under the watchful (and patient) eye of Jonathan Brundan. Before that, I earned a master's degree in mathematics at Boise State University, advised by Jens Harlander (Spring 2011), and a B.S. in mathematics at Northwest Nazarene University (Spring 2009).
What's my research about?I study representation theory, which is an area of mathematics which uses linear algebra to study problems arising from abstract algebra.
I like to describe my research using the following metaphor: If a space explorer were to encounter an alien species on a different planet, they might hide behind a rock and study the alien's behavior. Or, if they are feeling particularly bold, they might toss a banana to the creature and see how it responds to the banana. The point is, there is much to be learned by studying how something can interact with its surroundings
Representation theorists are explorers on the mathematical frontier of Abstract Algebra. The algebraic creatures I study arise in the mathematical study of symmetry, and the have strange names like "the symmetric group" and "the type Q Lie superalgebra." When I encounter one of these mathematical beasties, I study how it can interact with other mathematical objects, like "vector spaces." These sorts of interactions are called "representations" and the idea is that we can learn a lot of interesting mathematics by studying these representations.
In San Francisco with my wife Amber (Spring 2018).