Thesis Advisor: Shelly Harvey
Research Interests: Geometric Topology, Knot Theory, Group Theory
I am interested in link concordance and groups related to the study of link concordance (such as the knot concordance group, the pure braid group, and the string link concordance group). My work addresses these topics using generalizations of classical techniques related to combinatorial group theory as well as modern gauge theoretic tools from Heegaard Floer homology. Additionally, I am curious about questions involving the mapping class group and its connections to the homology cobordism group.
This work is supported by the National Science Foundation Graduate Research Fellowship under Grant No. 1450681 and an American Association of University Women Dissertation Fellowship.