Research

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

Publications

  1. Self-intersections of arcs on a pair of pants (with Nhat Minh Doan), Bull. Lond. Math. Soc. (to appear).

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

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


Preprints

  1. Ordering curves on surfaces (with Hugo Parlier and Binbin Xu), arXiv:2506.06481.

  2. Estimating distances in simplicial complexes with applications to 3-manifolds and handlebody-knots (with Sayantika Mondal and Puttipong Pongtanapaisan), arXiv:2505.00815.

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

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

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

  6. 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.