Research

Papers

• Ordering curves on surfaces
  with H. Parlier and B. Xu, Algebraic & Geometric Topology (to appear)
• Bridge indices of spatial graphs and diagram colorings
  with S. Blackwell and P. Pongtanapaisan, Discrete Mathematics 349 (3), 114813 (2026)
• Biquandles, semi-Wirtinger number and bridge index
  with T. Nguyen and P. Pongtanapaisan, Commun. Korean Math. Soc. 41 (1), 247-272 (2026)
• Widths of links via diagram colorings
  with R. Lee and P. Pongtanapaisan, Geometriae Dedicata 219 (5), 71 (2025)
• Self-intersections of arcs on a pair of pants
  with M. Doan, Bulletin of the London Mathematical Society (2025)
• The shortest non-simple closed geodesics on hyperbolic surfaces
  with A. Basmajian and H. Parlier, Mathematische Zeitschrift 306 (1), 8 (2024)
• Short closed geodesics on cusped hyperbolic surfaces
  Pacific Journal of Mathematics 318 (1), 127-151 (2022)

Preprints

• Density of length ratios on Teichmüller space
  with M. Doan, arXiv:2610.24700
• Estimating distances in simplicial complexes
  with S. Mondal and P. Pongtanapaisan, arXiv:2505.00815
• Deciding when two curves are of the same type
  with J. Souto, arXiv:2012.09792