Publications & preprints

Publications

  1. Structure of the anticanonical minimal model program for potentially klt pairs

    with D. Kim

    To appear in Taiwanese J. Math. arXiv:2604.05369

  2. A valuative approach to the anticanonical minimal model program

    with S. Choi, S. Jang and D. Kim

    Adv. Math. 505 (2026), 111307. Journal

  3. K-stability of del Pezzo surfaces with a single quotient singularity

    with I.-K. Kim

    J. Lond. Math. Soc. volume 114, issue 3 (2026): e70687. Journal

  4. Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two

    with J. Kim and M. Sawahara

    EMS Surv. Math. Sci. (2026), published online first. Journal arXiv:2512.01285

  5. On minimal model program and Zariski decomposition of potential triples

    with S. Choi and S. Jang

    Taiwanese J. Math. vol. 29, no. 6, (2025), 1261-1274. Journal

  6. Characterizations of Fano type varieties and projective spaces via absolute complexity

    Manuscripta Math. volume 174, pages 731-747, (2024). Journal

  7. Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two

    Adv. Geom. vol. 23, no. 1, (2023), 25-49. Journal

Preprints

  1. Semiample perturbations over arbitrary fields

    submitted. arXiv:2610.07908

  2. Mori dream fibers and the geometric generic fiber

    with M. Nagaoka

    submitted. arXiv:2609.17103

  3. Coupled Pklt Tuples and Varieties of Pklt Type

    with D. Kim

    submitted. arXiv:2609.11107

  4. Hilbert schemes of low-degree rational curves on a prime Fano threefold of degree 22

    with K. Chung

    submitted. arXiv:2609.08176

  5. Flexibility of affine cones over blow-ups of weighted projective planes

    with I.-K. Kim and M. Sawahara

    submitted. arXiv:2609.02500

  6. On quasi-monomiality of the α- and δ-invariants

    with D. Kim

    submitted. arXiv:2604.18465v3

  7. Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero

    with I.-K. Kim and M. Sawahara

    submitted. arXiv:2512.20134

  8. Minimal model program on the generic fiber of log Calabi-Yau type fibration

    with D. Kim

    submitted. arXiv:2512.02429

  9. Anticanonical divisor with good asymptotic base loci

    with S. Choi and S. Jang

    submitted. arXiv:2411.04628

Thesis & supplementary material

On the classification of algebraic varieties via derived category and complexity

Ph.D. thesis, Yonsei University, 2023.

Appendix to classification of full exceptional collections on smooth toric Fano varieties with Picard rank two.