Research

My research interests are in hyperbolic geometry and low dimensional topology. I am particularly interested in curves on surfaces.
Papers

Publications

  1. The shortest non-simple closed geodesics on hyperbolic surfaces (with Ara Basmajian and Hugo Parlier), Math. Z. 306, 8 (2024).

  2. Short closed geodesics on cusped hyperbolic surfaces, Pacific J. Math. 318 (2022), no. 1, 127–151.


Preprints

  1. Bridge indices of spatial graphs and diagram colorings (with Sarah Blackwell and Puttipong Pongtanapaisan), arXiv:2410.23253.

  2. Self-intersections of arcs on a pair of pants (with Nhat Minh Doan), arXiv:2407.17750.

  3. Learning bridge numbers of knots (with Puttipong Pongtanapaisan and Thieu Nguyen), arXiv:2405.05272.

  4. Widths of links via diagram colorings (with Ricky Lee and Puttipong Pongtanapaisan), arXiv:2401.17193.

  5. Deciding when two curves are of the same type (with Juan Souto), arXiv:2012.09792.

Talks

Conferences - Workshops

  • “Topological and Geometric Structures on 3-Manifolds” at the AMS Sectional Meeting at California Polytechnic State University in San Luis Obispo, CA, US, May 2025.

  • Geometry and Dynamics in Low Dimensions, Hanoi, Vietnam, January 2025.

  • AMS Special Session on Geometric Group Theory and Low-Dimensional Topology, Fall Central Sectional Meeting, University of Texas, San Antonio, TX, US, September 2024.

  • 57th Spring Topology and Dynamics Conference, University of North Carolina at Charlotte, US, March 2024.

  • Big Mapping Class Groups log cabin workshop in Young, Arizona, US, January 2024.

  • The South Central Topology Conference III, New Mexico State University, US (rodeo talk), October 2023.

  • Computational Problems in Low-dimensional Topology III, Rutgers University - Newark, US, April 2023.

  • Groups and Geometry in the South East, Warwick, UK (online), March 2022.

  • Young researchers meeting of the GDR Platon, CIRM, Marseille, France, November 2021.

  • Geometry Day in Créteil, Laboratoire d'Analyses et de Mathématiques Appliquées, Paris, France, November 2021.

  • AMS Special Session on Geodesics in Hyperbolic 2- and 3-Manifolds, Spring Western Sectional Meeting (formerly at San Francisco State University), US, May 2021.

  • SoS - Structures on Surfaces Workshop, LORIA, INRIA Nancy Grand Est, France (online), November 2020.

  • School on Geometry and Dynamics on Hyperbolic Surfaces, Les Diablerets, Switzerland, August 2018.


Seminars

  • Geometry and Topology Seminar, Binghamton University, US, October 2024.

  • Hyperbolic Geometry Seminar, CUNY, Graduate Center, US, September 2024.

  • Topology Seminar, Rice University, US, April 2024.

  • Topology Seminar, University of Wisconsin – Milwaukee, US, October 2023.

  • Dynamics Seminar, University of Wisconsin – Madison, US, October 2023.

  • Department of Mathematics Seminar, Dalat University, Vietnam, June 2023.

  • Postdoc Seminar, Arizona State University, US, 2023 - 2024.

  • Geometry and Topology Seminar, Arizona State University, US, 2022 - 2024.

  • Seminar on Geometry and Topology, Institute of Mathematics, Hanoi, Vietnam (online), April 2022.

  • Séminaire de théorie spectrale et géométrie, Institut Fourier, Grenoble, France, March 2022.

  • Algebra/Topology Seminar, University of Copenhagen, Denmark (online), December 2021.

  • Geometry and Topology Seminar, University of Luxembourg, May 2020.

  • Reading Seminar on Geometry and Topology, University of Luxembourg, 2018 - 2022.

  • Ph.D. Seminar and Ph.D. Away Days (Luxembourg, Heidelberg, Bordeaux, and Strasbourg), 2018 - 2022.