Research

Publications

1. Convexity of multiplicities of filtrations on local rings (with Harold Blum and Yuchen Liu)

Compos. Math. 2024. [Journal] [arXiv]

2. ACC for local volumes and boundedness of singularities (with Jingjun Han and Yuchen Liu)

J. Algebraic Geom. 2023. [Journal] [arXiv]

3. ACC for log canonical threshold polytopes (with Jingjun Han and Zhan Li)

Amer. J. Math. 2021. [Journal] [arXiv]

Preprints

1. ACC for local volumes (with Jingjun Han and Jihao Liu), submitted, arXiv: 2408.15090 

2. On the geometry of spaces of filtrations on local rings, submitted, arXiv: 2409.01705 

3. Boundedness in general type MMP (with Jingjun Han and Ziquan Zhuang), 2025

Other writing(s):

• Thesis: Space of filtrations and singularities