Research Areas

Application of singularity theory to nonlinear algebra.

Education

2018 - 2024 Ph.D., Tsinghua University

2014 - 2018 B.S., Tsinghua University

Awards

1. Wang Dazhong Scholarship of Tsinghua University in 2023

2. Excellent Doctoral Dissertation of Tsinghua University in 2024

Publications

1. Non-existence of negative weight derivations of the local 1-st Hessian algebras of singularities (with S. S.-T. Yau and H. Zuo), Asian J. Math. 26 (2022), no.3, 289–372.

2. New invariants of singularities in terms of higher Nash blow-up local algebras (with N. Hussain, S. S.-T. Yau and H. Zuo), preprint.

3. Higher order Jacobian matrix theory and invariants of singularities (with S. S.-T. Yau and H. Zuo), preprint.

4. Higher order Hessian matrix theory and its applications in singularity theory and Calabi-Yau manifolds (with S. S.-T. Yau and H. Zuo), preprint.