Research

Publications

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

Compositio Mathematica, 160(4), 878-914, 2024. [Journal] [arXiv]

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

Journal of Algebraic Geometry, 32 (2023) no. 3, 519--583. [Journal] [arXiv]

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

American Journal of Mathematics, 143(3), 681--714, 2021. [Journal] [arXiv]

Preprint(s)

1. 1. ''The metric geometry of space of filtrations on local rings and local volumes of singularities''.  (draft)