Allison Moore, Ph.D.
Harris Hall 4149
Ph.D. in Mathematics, The University of Texas
Thesis: “Behavior of Knot Floer Homology Under Conway and Genus Two Mutation”
Advisor: Cameron Mc.A Gordon
B.S. in Mathematics, The University of Texas
B.A. in Plan II, The University of Texas
My research interests are in low-dimensional topology and geometry, especially knot theory. In my recent projects, I have used Heegaard Floer theory and Khovanov homology to study local operations on knots, Dehn surgery in three-manifolds, and to investigate the relationships between knot invariants and structures arising in three-manifolds and four-manifolds. I am also interested in applications of low-dimensional topology to problems in molecular biology and DNA topology.
2019-Present Assistant Professor (Mathematics), Virginia Commonwealth University
2016-2019, Krener Assistant Professor (Mathematics), University of California, Davis
2017-2019, postdoctoral joint appointment (Microbiology and Molecular Genetics), University of California, Davis
2013-2016, RTG Lovett Instructor (Mathematics), Rice University