In Preparation
F-signature function on Pairs, comparison under proper birational maps.
Test ideals on F-graded system
Preprints/Papers
The F-signature function on the ample cone (coauthored with S. Pande). Appears in International Mathematics Research Notices, Volume 2024, Issue 3, Pages 2420–2460. arxiv, IMRN
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups (coauthored with H. Cai, L. Ma, K. Schwede, and K. Tucker). Appears in the Invent. Math. Volume 244, pages 357-454, (2026), arxiv, Inventiones mathematicae
The local solubility for homogeneous polynomials with random coefficients over thin sets (coauthored with H. Lee and K. Yeon). Appears in Mathematika, Volume 70, Issue 4 (2024), arxiv, Mathematika
Hilbert-Kunz multiplicity and F-signature can disagree (coauthored with S. Pande and A. Simpson). Appears in the Bulletin of London Mathematical Society, Volume 58, Issue 3 March 2026, arxiv, BLMS