Myeonhu Kim
I am a fifth and final-year Ph.D. student in mathematics at Princeton University. My advisors are János Kollár and Jakub Witaszek. I am currently at Northwestern University as a visiting predoctoral fellow.
I work in algebraic geometry and commutative algebra, especially singularities in positive and mixed characteristics. Most of my work so far has been building the theories of numerical invariants in the quasi-$F$ setting. I am also interested in birational geometry and the minimal model program, moduli theory, and non-archimedean analytic geometry.
I am on the job market during the 2026-27 academic year, looking for postdoctoral positions. Here is my CV.
Email: myeonhuk@princeton.edu
Research
-
A Kunz-type theorem for quasi-F-singularities.
(In preparation.)
Abstract
We establish an analogue and generalization of Kunz’s classical regularity criterion using the Witt Frobenius on truncated Witt rings.
-
Witt–Hilbert–Kunz multiplicity and relative quasi-$F$-rational signature.
(In preparation.)
Abstract
We develop the theory of $n$-Witt–Hilbert–Kunz multiplicity and relative $n$-quasi-$F$-rational signature, generalizing the classical notions of Hilbert–Kunz multiplicity and relative $F$-rational signature.