Research

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

Papers - Preprints

Widths of links via diagram colorings, (with Ricky Lee and Puttipong Pongtanapaisan), arXiv:2401.17193.
The shortest non-simple closed geodesics on hyperbolic surfaces, (with Ara Basmajian and Hugo Parlier), Math. Z. 306, 8 (2024).
Deciding when two curves are of the same type, (with Juan Souto), arXiv:2012.09792.
Short closed geodesics on cusped hyperbolic surfaces, Pacific J. Math. 318 (2022), no. 1, 127–151.

Talks

Conferences - Workshops

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, San Francisco State University, US (online), May 2021.
SoS - Structures on Surfaces Workshop, LORIA, INRIA Nancy Grand Est, France (online), November 2020.

Seminars

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