In Preparation
Hilbert-Kunz can disagree with F-signature
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). To appear in the IMRN Journal. 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), submitted, arxiv
The local solubility for homogeneous polynomials with random coefficients over thin sets (coauthored with H. Lee and K. Yeon), submitted, arxiv