About Me

Hello! I am a second-year PhD student at the University of Texas Austin studying mathematics. I completed my B.S. in mathematics and computer science at the University of Washington. My current interests are in low-dimensional topology, particularly in 4-dimensions. My office is at PMA 11.108.

You may have seen me in one of the following conferences:
  • Montreal, CA Aug. 2025: Knots, Groups, and Manifolds
  • Trieste, IT June 2025: Modern Tools in Low-Dimensional Topology
  • Athens, US May 2025: Georgia International Topology Conference
  • Bloomington, US Apr. 2025: Graduate Student Topology and Geometry Conference
  • College Station, US Mar. 2025: South Central Topology Conference IV
  • Athens, US May 2024: Georgia Topology Summer School

Federico Ardila’s Axioms

  1. Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
  2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
  3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
  4. Every student deserves to be treated with dignity and respect.