Research

Publications

1. The stringy E-function of the moduli space of Higgs bundles with trivial determinant (with Young-Hoon Kiem), Math. Nachr. 281 (2008), no. 6, 817-838, arXiv:math/0507007.

2. Birational geometry of the moduli space of rank 2 parabolic vector bundles on a rational curve (with Han-Bom Moon), Int. Math. Res. Not. vol.2016 (2016), issue 3, 827-859, arXiv:1409.6263.

3. Compactifications of conic spaces in del Pezzo 3-fold (with Kiryong Chung), C. R. Math. Acad. Sci. Paris, vol.357 (2019), issue 9, 729-736.

4. Hecke cycles associated to rank 2 twisted Higgs bundles on a curve, Internat. J. Math., vol.30 (2019), no.12, 1950062, arXiv:1708.00164.

5. Finite generation of the algebra of type A conformal blocks via birational geometry II: higher genus (with Han-Bom Moon), Proc. Lond. Math. Soc. (3), vol.120 (2020), issue 2, 242-264, arXiv:1810.13136.

6. Finite generation of the algebra of type A conformal blocks via birational geometry (with Han-Bom Moon), Int. Math. Res. Not. vol.2021 (2021), issue 7, 4941-4974, arXiv:1709.00519.

7. A desingularization of the moduli space of rank 2 Higgs bundles over a curve, Taiwanese Journal of Mathematics, vol.25 (2021), issue 2, 257-301, arXiv:1310.7809.

8. Geometry of the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one, J. Korean Math. Soc. vol.61 (2024), No. 1, 161-181, arXiv:2305.18187.

9. A blowing-up formula for the intersection cohomology of the moduli of rank 2 Higgs bundles over a curve with trivial determinant, Internat. J. Math., vol.35 (2024), no.7, 2450022, arXiv:2101.06660.

Preprints

1. Rational curves in a quadric threefold via an SL(2, C)-representation (with Kiryong Chung and Sukmoon Huh), arXiv:2301.11539, submitted.

2. Global geometry of the moduli space of stable pairs on prime Fano threefolds (with Kiryong Chung), preprint.