I am a PhD student in the University of Washington math department studying algebraic geometry with Sándor Kovács.

Research

My research focuses on singularities coming from the minimal model program and moduli of varieties. Particular interests include:

  • applications of intersection theory and Hodge theory,

  • positive-characteristic behavior, and

  • infinitesimal deformations of MMP singularities

Preprints

Talks

Notes

Axioms

I believe in Federico Ardila’s axioms:

  • Axiom 1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.

  • Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.

  • Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

  • Axiom 4. Every student deserves to be treated with dignity and respect.

Acknowledgments

During the spring of 2019 I was in residence at the Mathematical Sciences Research Institute in Berkeley, California, supported by the National Science Foundation under Grant No. 1440140. During the academic year of 2018-2019 I was supported by the University of Washington Department of Mathematics Graduate Research Fellowship.