Selected Publications and Preprints
Boundedness of log Fano cone singularities and discreteness of local volumes (with Chenyang Xu), 2024, arXiv.
Essential dimension of isogenies (with János Kollár), 2024, arXiv.
Non-existence of Ulrich modules over Cohen-Macaulay local rings (with Srikanth Iyengar, Linquan Ma, Mark Walker), 2024, arXiv.
MMP for locally stable families and wall crossing for moduli of stable pairs (with Fanjun Meng), 2023, arXiv.
On boundedness of singularities and minimal log discrepancies of Kollár components, II, 2023, accepted by Geometry and Topology, arXiv.
Direct summands of klt singularities, 2022, arXiv.
Stable degenerations of singularities (with Chenyang Xu), 2022, arXiv.
On boundedness of singularities and minimal log discrepancies of Kollár components, J. Algebraic Geom. (2024), journal, arXiv.
The existence of the Kähler-Ricci soliton degeneration (with Harold Blum, Yuchen Liu and Chenyang Xu), Forum Math. Pi (2023), journal, arXiv.
Finite generation for valuations computing stability thresholds and applications to K-stability (with Yuchen Liu and Chenyang Xu), Ann. of Math. (2022), journal, arXiv.
Seshadri constants and K-stability of Fano manifolds (with Hamid Abban), Duke Math. J. (2023), journal, arXiv.
Uniqueness of the minimizer of the normalized volume function (with Chenyang Xu), Camb. J. Math. (2021), journal, arXiv.
Optimal destabilizing centers and equivariant K-stability, Invent. Math. (2021), journal, arXiv.
K-stability of Fano varieties via admissible flags (with Hamid Abban), Forum Math. Pi (2022), journal, arXiv.
On positivity of the CM line bundle on K-moduli spaces (with Chenyang Xu), Ann. of Math. (2020), journal, arXiv.
Birational superrigidity and K-stability of Fano complete intersections of index one (with an appendix written jointly with Charlie Stibitz), Duke Math. J. (2020), journal, arXiv.
K-stability of birationally superrigid Fano varieties (with Charlie Stibitz), Compos. Math. (2019), journal, arXiv.
The full list of papers can be found on the arXiv.
Other writings:
Finite generation and the Kähler-Ricci soliton degeneration, Surveys in geometric analysis (2021), Science Press (Beijing), also available here.
Stability of klt singularities (survey), Handbook of Geometry and Topology of Singularities, volume VII.