Papers

Papers and Preprint

1. Rational singularities and q-birational morphism, Internat. J. Math. 36 (2025), no. 1, Paper No. 2450065. 

2. Adjoint asymptotic multiplier ideal sheaves associated to potential triple (with S. Choi and S. Jang), arXiv.

3. On diminished multiplier ideal and termination of flips, European J. Math. 12 (2026), no. 10.

4. The number of smooth varieties in an MMP on a 3-fold of Fano type, Taiwanese J. Math. 30, no. 2 281-292, (2026).

5. On volumes and the generic invariance of Fano type varieties, arXiv.

6. A valuative approach to the anticanonical minimal model program, (with S. Choi, S. Jang, and D.-W. Lee), arXiv.

7. Asymptotically flat divisors and strongly $F$-regular type varieties, arXiv.

8. MMP on the generic fiber of log Calabi--Yau type fibration (with D.-W. Lee), arXiv.

9. Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs (with D.-W. Lee), arXiv.

10. On the quasi-monomiality of the α-and δ-invariats, arXiv.

11. On the normalized local volume of a non-closed point, arXiv.

Other writings

1. q-birational morphisms and divisors

In Preparation