Publication
1. Compactified moduli spaces of rational curves in a projective variety. Thesis, 2011.
2. Hilbert scheme of rational cubic curves via stable maps (with Young-Hoon Kiem), Amer. J. Math. 133 (2011), no. 3, 797-834.
3. Compactified moduli spaces of rational curves in projective homogeneous varieties (with Jae-Hyun Hong and Young-Hoon Kiem), J. Math. Soc. Japan. 64 (2012), no. 4, 1211-1248.
4. The geometry of the moduli space of one-dimensional sheaves (with Jinwon Choi), Science China-Mathematics, Sep. (2014), DOI: 10.1007/s11425-014-4889-9.
5. Cohomology bounds for sheaves of dimension one (with Jinwon Choi), International Journal of Mathematics, Nov. (2014), DOI: 10.1142/S0129167X14501031.
6. Virtual Poincare polynomial of the space of stable pairs supported on quintic curves, Journal of Geometry and Physics, 94, Aug. (2015), 209–217.
7. Twisted cubic curves in the Segre variety (with Wanseok Lee), Comptes Rendus Mathematique, 353 (2015), no.12, 1123–1127.
8. Moduli of sheaves, Fourier-Mukai transform, and partial desingularization (with Han-Bom Moon), Math. Z. 283 (2016), no.1, 275-299.
9. Moduli spaces of α-stable pairs and wall-crossing on P^2 (with Jinwon Choi), J. Math. Soc. Japan. Vol. 68 (2016), No. 2, 685-789.
10. Moduli of sheaves supported on quartic space curves (with Jinwon Choi and Mario Maican), Michigan Math. J. Vol. 65 (2016), no. 3, 637-671.
11. On the space of smooth rational curves of maximal regularity (with Wanseok Lee and Euisung Park), Manuscripta Mathematica. Nov. (2016), Vol.151, no. 3, 505–518.
12. Mori's program for the moduli space of conics in Grassmannian (with Han-Bom Moon), Taiwanese Journal of Mathematics, Vol. 21, No. 3, 621–652, June 2017
13. Chow ring of the moduli space of stable sheaves supported on quartic curves (with Han-Bom Moon), Quarterly Journal of Mathematics, Vol.68, No. 3, 851–887, Sep. 2017
14. Stable maps of genus zero in the space of stable vector bundles on a curve (with SangHyeon Lee), International Journal of Mathematics, Vol. 28 (11), Oct. 2017, 1-18.
15. Birational geometry of the moduli space of pure sheaves on quadric surface (with Han-Bom Moon), Comptes rendus - Mathematics, Vol. 355 (10), Oct. 2017, 1082-1088.
16. Geometry of moduli spaces of rational curves in linear sections of Grassmannian $Gr(2,5)$ (with Jae-Hyun Hong and SangHyeon Lee), Journal of Pure and Applied Algebra, Vol. 222 (04), Apr. 2018, 868-888.
17. Geometry of moduli space of sheaves on del Pezzo surfaces via Maruyama transform (with Jinwon Choi), Journal Communications in Algebra, 47(2), 2019, 907-916.
18. Compactifications of conic spaces in del Pezzo $3$-fold (with Sang-Bum Yoo), Comptes rendus - Mathematics, 357 (9), Sep. 2019, 729-736.
19. Curves in Segre threefolds (with Edoardo Ballico and Sukmoon Huh), Forum Mathematicum, 32 (1), Jan. 2020, 63–78.
20. Intersection cohomology of pure sheaf spaces using Kirwan's desingularization (with Youngho Yoon), Journal of Geometry and Physics, Vol. 160, Feb. 2021, 103992.
21. Sheaf theoretic compactifications of the space of rational quartic plane curves, Taiwanese Journal of Mathematics, Vol. 25, No. 3, pp. 463–476, June 2021.
22. Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles (with Insong Choe and SangHyeon Lee), Journal of the London Mathematical Society, Vol 105, No.1, Jan. pp. 543-564, 2022.
23. Double lines in the quintic del Pezzo fourfold, Bulletin of the Korean Mathematical Society, Vol 60, No.2, Mar., 485-494, 2023.
24. Desingularization of Kontsevich’s compactification of twisted cubics in $𝑉_5$, Manuscripta Math. 171, May, 347–367, 2023.
25. Conics in quintic del Pezzo varieties (with SangHyeon Lee), Journal of the Korean Mathematical Society, 61(2), 357-375, Mar., 2024
26. Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over $V_5$ and $V_22$ (with SangHyeon Lee and Joonyeong Won), Journal of Geometry and Physics, Vol. 197, Mar. 2024, 105082.
27. An $\text{SL}(3,\mathbb{C})$-equivariant smooth compactification of moduli space of rational quartic plane curves (with Jeong-Seop Kim), Journal of Algebra, Volume 645, May, 94-115, 2024.
28. Rational curves in a quadric threefold via an $\text{SL}(2,\mathbb{C})$-representation (with Sukmoon Huh and Sang-Bum Yoo), J. Korean Math. Soc., Vol. 62, No. 4, July, 771-790, 2025
29. Deformations of the tangent bundle of a projective hypersurface (with Insong Choe and Jun-Muk Hwang), arXiv:2506.20085, to appear Michigan Math. J. 2025
30. Rational quartic curves in the Mukai-Umemura variety (with Jaehyun Kim and Jeong-Seop Kim), arXiv:2412.17721, J. Pure Appl. Algebra 229 , 108102, 2025
Submitted Papers and preprints
31. Quartic curves in quintic del Pezzo threefold (with Jaehyun Kim and Jeong-Seop Kim), submitted, arXiv:2505.09130
32. Local structure of the Hilbert scheme of rational curves on del Pezzo fourfold (with Bomyeong Kim and Minseong Kwon), preprint
33. A remark on rationality of moduli space of rational curves in Fano varieties (with Jeong-Seop Kim), preprint
34. Derived wall-crossings of the moduli space of stable sheaves supported on rational quartic space curves, preprint
35. Cao-Toda's conjecture on minimal Fano varieties, preprint
Book
1. 임용수학 완전정복 미분기하학 (김영록, 한종민 공저, 경문사, 2018년 4월)
2. 플립러닝을 위한 대수학: 군론편, 김정섭, 김진원, 박유진, 이혜령 공저 (2025년 2월)
3. 플립러닝을 위한 대수학: 환, 체 그리고 갈루아 이론편 (개정판), 김수현, 박유진, 송은정 공저
4. 고급기하(2022개정 교육과정), 서울 교과서, 박경임, 박지환, 장명희 공저 (2025년 3월)
5. 과학을 위한 대수학, 2025 동문고 수학 심화 주제 탐구 강의록(2025년 7월)