Preprint, arXiv:2512.11523, submitted
We prove that Donaldson's quantized Monge–Ampère energy in the adjoint setting converges to the Monge–Ampère energy for bounded psh potentials on a big and semipositive bundle. This partially answers a question of Berman–Freixas i Montplet.
Bull. Inst. Math. Acad. Sin. (N.S.) 17 (2022), no. 1, 1-51
An elementary proof of the pointwise asymptotic expansion for Bergman kernels on the positive part of certain semi-positive line bundles, based on a certain semi-classical symbolic calculus.
Research note
Notes from a localization calculation in Gromov-Witten theory, developed as part of a MoST research assistant report, supervised by Prof. Chin-Lung Wang.
MoST Research Assistant Report
Part of a MoST Research Assistant Report, supervised by Prof. Chin-Lung Wang.
Course report · Fall 2023
Final report for the course Geometric Analysis by Prof. Daniel Cristofaro-Gardiner at UMD in Fall 2023.
The following documents grew out of my conversations with AIs. Please use them with caution.
Unofficial English translation · August 2026
This unofficial English translation of Jean-Pierre Demailly's 1985 memoir Mesures de Monge–Ampère et caractérisation géométrique des variétés algébriques affines was prepared using ChatGPT 5.6 Sol Ultra and subsequently revised by me with the assistance of Claude Opus 5.