Embedded Files
My research interests are in hyperbolic geometry and low-dimensional topology. More specifically, I am interested in knot theory and hyperbolic 3-manifolds. A copy of my dissertation is available here.
Papers and Preprints:
Papers and Preprints:
Arithmeticity and commensurability of links in thickened surfaces, (with David Futer), (arXiv).
Kaplan-Kelly, R. Right-angled links in thickened surfaces. Geom Dedicata 218, 113 (2024), (pdf).
Densities of hyperbolic cusp invariants
(with Colin Adams, Michael Moore, Brandon Shapiro, Shruthi Sridhar, and Joshua Wakefield)
Proceedings of the American Mathematical Society, Vol. 146, No. 9, Sept. 2018 (4073-4089), (pdf).
Grants, Fellowships, and Awards:
Grants, Fellowships, and Awards:
Temple University: Doctoral Dissertation Completion Grant (Spring 2023)
Temple University Mathematics Department: Jay Novik Graduate Student Fellowship (2021-2022)
Temple University: First Summers Research Initiative Award (Summer 2020)
Temple University: Presidential Fellowship (September 2017-August 2018 and September 2020-August 2021)
Bryn Mawr College: Mary Louise Cookson Prize in Mathematics (Awarded: May 2017)
Bryn Mawr College: Merit Scholarship (August 2013- May 2017)
Upcoming Talks and Workshops:
Upcoming Talks and Workshops:
AMS Spring Eastern Sectional Meeting (Boston College)*
March 2026
Previous Talks and Workshops:
Previous Talks and Workshops:
* indicates an invited talk and/or workshop
Workshop "Computational Problems about 3-Manifolds, Associated Groups, and Varieties" (Rutgers University–Newark)*
October 2025
June 2025
BIRS Workshop, "Interactions of Geometric and Quantum Topology focused on Links in Thickened Surfaces"*
April 2025
58th Spring Topology and Dynamics Conference Geometric Topology Session (Christopher Newport University)*
March 2025
Joint Mathematics Meetings, AMS Special Session on "Results on Curves and Surfaces Inspired by Experiments" *
January 2025
Topology, Algebraic Geometry, and Dynamics Seminar (George Mason University)*
October 2024
University of Virginia Geometry Seminar*
October 2024
Temple University Geometry Seminar*
October 2024
BIRS Workshop, "Knot Theory Informed by Random Models and Experimental Data"*
March 2024
Knots in Washington 49.96875*
December 2023
University of Maryland Geometry-Topology Seminar*
November 2023
Geometry MMA: Metrics, Measures, and Algorithms Seminar (George Mason University)*
October 2023
AMS Fall Eastern Sectional Meeting (Buffalo)*
September 2023
GTiNY (Columbia University)*
June 2023
Rutgers Geometry and Topology Seminar*
February 2023
The Tetrahedral Geometry-Topology Seminar (Franklin and Marshall College)*
November 2022
The Nearly Carbon Neutral Geometric Topology Conference (Online)*
September 2022
Workshop in Geometric Topology (Online)
June 2022
Graduate Student Conference in Geometry and Topology (Georgia Institute of Technology)
April 2022
Recorded talk
CUNY Geometry and Topology Seminar (CUNY Graduate Center)*
April 2022
Spring Topology and Dynamical Systems Conference (Baylor University)*
March 2022 (Virtual)
Geometry and Topology Seminar (Temple University)
September 2021
Joint Mathematics Meetings (Virtual)*
January 2021
Co-presented talk: “Engaging Middle Schoolers in Mathematics: Pre- and Post-Spring 2020” with Brandi Henry
Graduate Seminar (Temple University)
February 2020
Expository talk: “The Mathematics of Gerrymandering”
MathFest (Columbus, Ohio)
August 2016
Co-presented talk: “Surfaces in Knot Complements” with Michael Moore
UnKnot III (Denison University)
August 2016
Talk: “Cusp Crossing Density: Flowers and Packing in Hyperbolic Space”.
Page updated
Google Sites
Report abuse