I am a professor of mathematics at Rice University. My research interests are in low-dimensional topology and geometry, group theory, non-commutative algebra. I am a member of the LGBTQ community and the Faculty Sponsor for the Queer Graduate Student Association at Rice. I am also the faculty sponsor for the Association for Women in Mathematics student group at Rice.
My research is partially supported by the National Science Foundation (DMS-2109308). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author, and do not necessarily reflect the views of the National Science Foundation.
Research Funding from the National Science Foundation.
Carolyn Otto, Ph.D. May 2011
Thesis: The (n)-solvable filtration of the link concordance group and Milnor's invariants
Taylor Martin, Ph.D. May 2013
Thesis: Lower order solvabilty of links
Taylor McNeill, Ph.D. May 2013
Thesis: A new filtration of the Magnus kernel
Katherine Vance, Ph.D. May 2016
Thesis: Tau invariants of spatial graphs
JungHwan Park, Ph.D. May 2017
Thesis: Derivatives of genus one and three knots
Anthony Bosman, Ph.D. May 2017
Thesis: Shake slice and shake concordant links
Miriam Kuzbary, Ph.D. May 2019
Thesis: Link concordance and groups
Sarah Seger, Ph.D. May 2019
Thesis: Lower order solvability, Seifert forms, and Blanchfield forms of links
Shawn Williams, Ph.D. expected May 2022
Thesis: Extensions of the Fox-Milnor conditions for knots and links
Alex Manchester, Ph.D. expected May 2024
Mentoring in the Mathematical Sciences, Rice University, November 4--5, 2023.
“Texas Women in Mathematics Symposium, ” Rice University, February 5–6, 2022.
AMS Special Session on “Knots, links, 3-manifolds,... and 4-manifolds” at the Joint Mathematical Meetings, January 2021.
AIM workshop on "Distinguishing smooth concordance classes of topologically slice knots and links," June 3–7, 2019.
2019 AWM Research Symposium, Rice University, April 6-7, 2019.
Topology in Dimension 3.5: A conference in memory of Tim Cochran, June 1-4, 2016 AWM Research Symposium 2015, University of Maryland, College Park, April 11-12, 2015.
Special Session on Low-Dimensional Topology at the AWM Research Symposium, University of Maryland, College Park, April 11-12, 2015.
AMS Special Session on Knot Theory at the Joint Math Meetings, San Antonio, TX, January 12–13, 2015.
"Hempelfest" 3-Manifolds: Heegaard Splittings, the Curve Complex, and Hyperbolic geometry, Rice University, April 19-21, 2013.
Special Session on Low-Dimensional Topology at the AWM Research Symposium, Santa Clara, CA, March 16-17, 2013
AMS Special Session on Knot Theory at the Joint Math Meetings, Boston, MA, January 4-7, 2012.
Special Session on Low Dimensional Topology and Geometry at the AMS Fall Southeastern Section Meeting, Winston-Salem, NC, September 24-25, 2011.
AMS Special Session on Knot Theory at the Joint Math Meetings, New Orleans, LA, January 8-9, 2011.
Special Session on Low Dimensional Topology at the AMS Fall Eastern Section Meeting, Middletown, CT, October 11-12, 2008.
3rd Annual Louisiana Texas Topology Retreat, Rice University, February 9-10, 2008 Second Louisiana-Texas-Topology-Retreat (LTTR), February 3-4, 2007
2006 Texas Geometry and Topology Conference at Rice University, Oct 27-29, 2006