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Brett Collins

Blurred image of the arch used as background for stylistic purposes.

Before coming to UGA, I was a Visiting Assistant Professor at Bucknell University in Pennsylvania and an Assistant Professor at Fitchburg State University in Massachusetts. Please feel free to email me or stop by my office with any questions you have about my classes or if you just want to talk about math or anything else.

Research Areas:
Research Interests:

My research interests lie primarily in the intersection of representation theory, algebraic combinatorics, and geometric invariant theory, especially in quiver representation theory. Representation theory (a generalization of linear algebra) is a vast branch of math that connects with practically every other area, both in pure and applied mathematics, and, as such, I'm interested in exploring more of these connections.

My research to date has focused on using quiver combinatorics to describe branching rule multiplicities and dimensions of weight spaces of semi-invariants in terms of Littlewood-Richardson coefficients, which are "nice" combinatorially and whose computational complexity can be determined using geometric complexity theory. Recently I have also become interested in applications of quivers, including in persistent homology and neural networks.


Ph.D. in Mathematics (University of Missouri-Columbia)

B.A. in Mathematics (Truman State University)

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