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).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). To appear in the Invent. Math., arxiv, Inventiones mathematicae
The local solubility for homogeneous polynomials with random coefficients over thin sets (coauthored with H. Lee and K. Yeon). Mathematika, Volume 70, Issue 4 (2024), arxiv, Mathematika
Hilbert-Kunz multiplicity and F-signature can disagree (coauthored with S. Pande and A. Simpson), submitted, arxiv