Publications and preprints

• Persistent Legendrian contact homology in R³, with Maya Basu, Austin Christian, Ethan Clayton, Daniel Irvine, and Fredrick Mooers, submitted. Preprint available at arXiv:2312.09144
• On χ−slice pretzel links, with Sophia Fanelle, Evan Huang, Ben Huenemann, Jonathan Simone, and Hannah Turner, submitted. Preprint available at arXiv:2306.01585
• A note on knot Floer homology of satellite knots with (1,1)-patterns, to appear in Algebraic & Geometric Topology. Preprint available at arXiv:2207.01787

Past talks

• Persistent Legendrian contact homology — April 2024 — Recent developments in 3- and 4-manifold topology
• Persistent Legendrian contact homology — March 2024 — AMS Spring Southeastern Sectional Special Session on “Recent Advances in Geometry and Topology”
• Unknotting number and (1,1)-satellites — July 2023 — Tech Topology Summer School 2023, Lightning Talks
• (canceled) Knot trace and shaking number — March 2023 — AMS Spring Southeastern Sectional Special Session on “Topology and Geometry of 3- and 4-Manifolds”
• Unknotting number and (1,1)-satellites — January 2023 — Joint Mathematics Meetings, MSRI (SLMath) Special Session on Summer Research in Mathematics (SRiM): Unknotting Operations
• Rank inequalities for the knot Floer homology of (1,1)-satellites — October 2022 — AMS Fall Western Sectional Special Session on “Heegaard Floer homology in topology, algebra, and physics”
• Rank inequalities for Heegaard Floer homology — October 2022 — AMS Fall Southeastern Sectional Special Session on “Interactions between 3-manifolds and 4-manifolds”
• Three-manifolds up to 1957 — October 2022 — Georgia Tech Geometry Topology Student Seminar
• Rank inequalities for the knot Floer homology of (1,1)-satellites — September 2022 — SLMath/MSRI Connections Workshop: Floer Homotopy Theory, Contributed talks
• Introduction to knot Floer homology — March 2021 — Georgia Tech Geometry Topology Student Seminar
• The Akbulut-Kirby conjecture and the slice-ribbon conjecture — December 2020 — Georgia Tech Geometry Topology Student Seminar