Kevin Chang

I am a third year graduate student interested in algebraic geometry and number theory. My advisor is Will Sawin.

Email: kyc2130 "at" columbia "dot" edu

Research:

• Hurwitz spaces, Nichols algebras, and Igusa zeta functions, arXiv link, 2023, Submitted.
• A v1-banded vanishing line for the mod 2 Moore spectrum, arXiv link, 2023, To appear in Homology, Homotopy and Applications.
• (With Joshua Guo) On the Gauss-Epple homomorphism of the braid group Bn, and generalizations to Artin groups of crystallographic type, arXiv link, 2021, Preprint.

Invited talks:

• Hurwitz spaces, Nichols algebras, and Igusa zeta functions, University of Toronto Algebraic Geometry Seminar, March 2024.
• Prehomogeneous vector spaces and Nichols algebras over symmetric groups, Oberwolfach Mini-Workshop "Bridging Number Theory and Nichols Algebras via Deformations," January 2024
• Hurwitz spaces, Nichols algebras, and Igusa zeta functions, University of Minnesota Topology Seminar, December 2023.

Mentorship:

• I am an organizer and mentor for Columbia's Directed Reading Program.
• In 2023 and 2024, I taught at Canada/USA Mathcamp.
• In 2020 and 2021, I was a mentor for MIT PRIMES.
• In 2019 and 2021, I was a counselor at PROMYS.

Seminars I've organized at Columbia:

• Function field arithmetic and geometry, Spring 2024.
• Cohomology and analytic number theory over function fields, Fall 2022.
• Michael Zhao Memorial Student Colloquium, Spring-Fall 2022.
• Geometric sequel to last semester’s informal Category O grad seminar, Spring 2022
• Informal Category O grad seminar, Fall 2021
• Mixed Hodge structures, Fall 2021.

Links:

• A self-portrait that I put a ton of effort into. (I look really different without glasses.)
• I love cataloguing things:
  • My Letterboxd profile.
  • My RateYourMusic profile.
  • My Backloggd profile.