Hey! I'm Aislinn ("Ace-lyn"), a 3rd year graduate student in the Mathematics Department at the University of Texas at Austin.
I enjoy thinking about the interactions between topology, geometry, and group theory (what's not to like?)
My current research concerns the computational complexity of positive-genus surface braid groups, with emphasis on the word problem, automata theory, and Garside structures.
More broadly, I am interested in groups arising from configuration spaces and related moduli-space structures. I would like to learn more about the homotopy-theoretic and operadic techniques that connect these objects to low-dimensional topology, braid and knot theory, and geometric group theory.
