Publication List
Young-Hoon Kiem
Young-Hoon Kiem
1. Cohomology of quotients and moduli spaces of vector bundles: Doctoral Thesis, Yale University, May 2000.
2. On the redundancy of the Mumford relations: Journal of Algebraic Geometry 9 (2000), 395-402.
3. The equivariant cohomology ring of the moduli space of vector bundles over a Riemann surface: Proceedings of the Aarhus conference on Geometry and Topology, Contemporary Mathematics 258, AMS.
4. Intersection cohomology of quotients of nonsingular varieties: Inventiones Mathematicae 155, pp163-202 (2004).
5. (with Lisa Jeffrey, Frances Kirwan, Jon Woolf) Cohomology pairings on singular quotients in geometric invariant theory: Transformation Groups, Vol 8, No 3, pp 217-259 (2003).
6. The stringy E-function of the moduli spaces of rank 2 bundles over a Riemann surface of genus 3: Trans. Amer. Math. Soc. 355, no 5, pp1843-1856 (2003).
7. Chern classes of moduli of vector bundles over curves: Algebraic Geometry and Related Topics, Proceedings of the Korea-Japan Joint Workshop in Mathematics 2002, Yamaguchi University (2003).
8. (with Jun Li) Desingularizations of the moduli space of rank 2 bundles over a curve: Math Annalen 330, pp 491-518 (2004).
9. On the existence of a symplectic desingularization of some moduli spaces of sheaves on a K3 surface: Compositio Mathematica 141, issue 4, pp902-906, July 2005.
10. (with Jon Woolf) Intersection cohomology of symplectic quotients by circle actions: Jour. Lond. Math. Soc. 71, April 2005.
11. (with Insong Choe and Jaeyoo Choy) Cohomology of the moduli space of Hecke cycles: Topology, volume 44, issue 3, May 2005, pp585-608.
12. (with Jun Li) Vanishing of the top Chern classes of the moduli of vector bundles: Journal of Differential Geometry, Vol. 76 No. 1, pp45-115, May 2007.
13. (with Jaeyoo Choy) Nonexistence of crepant resolution of moduli space of sheaves on a K3 surface: Journal of Korean Mathematical Society, Vol. 44, pp35-54, January 2007.
14. Intersection cohomology of representation spaces of surface groups: International J. of Math., Vol 17. No 2, 169-182, February 2006.
15. (with Jaeyoo Choy) On the existence of a crepant resolution of some moduli spaces of sheaves on an abelian surface: Mathematische Zeitschrift252, 557-575, March 2006.
16. (with Jon Woolf) The Kirwan map for singular symplectic quotients: Jour. Lond. Math. Soc. 73, pp209-230, February 2006.
17. (with Lisa Jeffrey, Frances Kirwan, Jon Woolf) Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularizations: Transformation Groups, Vol. 11, No 3, pp439-494 , September 2006.
18. (with Sang-Bum Yoo) The stringy E-function of the moduli space of Higgs bundles with trivial determinant: Math. Nach. Vol.281, No.6 (2008), pp817-838.
19. Hecke correspondence, stable maps and the Kirwan desingularization: Duke Math. J., Vol. 136, No 3 (2007), pp585-618.
20. (with Jun Li) Gromov-Witten invariants of varieties with holomorphic 2-forms: Unpublished.
21. (with Han-Bom Moon) Moduli spaces of stable maps to projective space via GIT: International J. of Math., Vol. 21, No 5 (2010), pp639-664.
22. (with Lisa Jeffrey and Frances Kirwan) On the cohomology of hyperkahler quotients: Transformation Groups, Vol. 14, No 4, pp801-823, December 2009.
23. (with Kiryong Chung) Hilbert scheme of rational cubic curves via stable maps: American. J. Math., Vol. 133, No 3 (2011), 797~834.
24. (with Han-Bom Moon) Moduli spaces of weighted pointed stable rational curves via GIT: Osaka J. of Math., Vol. 48, No. 4 (2011), 1115~1140.
25. Birational geometry of moduli spaces of rational curves in projective varieties: Proceedings of the RIMS conference on Higher Dimensional Algebraic Geometry, Bessatu B24, RIMS, 67~79.
26. (with Jaehyun Hong and Kiryong Chung) Compactified moduli spaces of rational curves in projective homogeneous varieties: Journal of Math. Soc. of Japan, Vol. 64, No. 4 (2012), 1211-1248, October 2012.
27. Curve counting and birational geometry of compactified moduli spaces of curves: Proceedings of the Waseda symposium on algebraic geometry, November 2010.
28. (with Jinwon Choi) A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps: Math. Z. (2020) 294, 161~199 (Published online on Feb. 11, 2019, https://doi.org/10.1007/s00209-019-02249-1)
29. (with Jun Li) Low degree GW invariants of spin surfaces: Pure and Applied Math. Quarterly Vol. 7, No. 4 (2011), 1449~1476. (Special Issue: In memory of Eckart Viehweg.)
30. (with Jun Li) Low degree GW invariants of surfaces II: Science China Math. Vol. 54, No. 8 (2011), 1679~1706. (Special Issue: F. Catanese 60thBirthday.)
31. (with Seung-Hyeok Kye and Jungseob Lee) Existence of product vectors and their partial conjugates in a pair of spaces: Journal of Mathematical Physics Vol.52, Issue 12 (2011), 1~10.
32. (with Jun Li) A wall crossing formula of Donaldson-Thomas invariants without Chern-Simons functional: Asian J. Math. Vol. 17, No. 1, pp 63~94, March 2013.
33. (with Huailiang Chang) Poincare invariants are Seiberg-Witten invariants: Geometry and Topology, Vol. 17, 1149~1163, March 2013.
34. (with Jun Li) Localizing virtual cycles by cosections: Journal of Amer. Math. Soc. Vol. 26, No. 4, 1025~1050, October 2013.
35. (with Jun Li) Categorification of Donaldson-Thomas invariants via perverse sheaves: First half published in the Journal of Korean Mathematical Society, Vol. 55 No. 3 (2018), 623-669 with title "Critical virtual manifolds and perverse sheaves".
36. (with Seung-Hyeok Kye and Joohan Na) Product vectors in the ranges of multi-partite states with positive partial transposes and permanents of matrices: Communications in Mathematical Physics, Vol. 338, Issue 2, 621~639, September 2015.
37. (with Huailiang Chang and Jun Li) Torus localization and wall crossing formulas for cosection localized virtual cycles: Advances in Mathematics, Vol. 308, 964~986, 2017.
38. (with In-Kyun Kim, Hwayoug Lee and Kyoung-Seog Lee) All complete intersection varieties are Fano visitors: Advances in Mathematics, Vol. 311, 649~661, 2017.
39. (with Kyoung-Seog Lee) Fano visitors, Fano dimension and Fano orbifolds : Birational geometry, Kahler-Einstein metrics and degenerations, 517-544, Springer Proc. Math. Stat. 409, Springer, 2023.
40. Localizing virtual fundamental cycles for semi-perfect obstruction theories: International J. Math. Vol. 29, No. 4 (2018) 1850032 (30pages).
41. (with Jun Li) Localizing virtual structure sheaves by cosections: International Mathematics Research Notices, Vol. 2020, Issue 22, November 2020, Pages 8387–8417, https://doi.org/10.1093/imrn/rny235
42. (with Jun Li and Michail Savvas) Generalized Donaldson-Thomas invariants via Kirwan blowups: Journal of Differential Geometry, Vol 127 (2024), 1149-1205.
43. (with Jun Li) Quantum singularity theory via cosection localization: J. Reine Angew. Math. 766 (2020), 73–107.
44. (with Jun Li and Huailiang Chang) Algebraic virtual cycles for quantum singularity theories: Comm. in Analysis and Geometry, Vol 29, No 8 (2021), 1749-1774.
45. (with Jaeseong Heo) On characterizing integral zeros of Krawtchouk polynomials by quantum entanglement: Linear Algebra and its Applications 567 (2019), 167-179.
46. (with Jinwon Choi and Seung-Hyeok Kye) Entangled edge states of corank one with positive partial transposes: Journal of Mathematical Physics 61, Issue 6 (June 2020), 062202 (2020); https://doi.org/10.1063/1.5122836.
47. (with Hyeonjun Park) Virtual intersection theories: Advances in Mathematics 388, 107858, September 17 2021.
48. (with Michail Savvas) K-theoretic generalized Donaldson-Thomas invariants: International Mathematics Research Notices, Vol. 2022, Issue 3, February 2022, Pages 2123–2158.
49. (with Michail Savvas) Localizing virtual structure sheaves for almost perfect obstruction theories: Forum of Mathematics Sigma 8 (2020.12.07), Paper No. e61, 1-36.
50. (with Hyeonjun Park) Localizing virtual cycles for Donaldson-Thomas invariants of Calabi-Yau 4-folds: Journal of Algebraic Geometry 32 (2023), 585-639.
51. (with Jinwon Choi and Donggun Lee) Representations on the cohomology of $\overline{\mathcal{M}}_{0,n}$: Advances in Mathematics 435, Part A, December 15 2023, 109364.
52. (with Donggun Lee) Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture: Journal of Combinatorial Theory, Series A 206 (2024), 105884.
53. Enumerative geometry, before and after string theory: KIAS Springer Series in Mathematics 1, 1~42, Springer 2022.
54. (with Hyeonjun Park) Virtual fundamental classes of the vanishing loci of cosections: Preprint, submitted to the Proceedings of the workshop in the memory of Bumsig Kim.
55. (with Hyeonjun Park) Cosection localization via shifted symplectic geometry: Preprint.
56. (with Donggun Lee) Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials: Algebraic Combinatorics, 7 (2024) no. 3 p. 861-885.
57. (with Jinwon Choi and Donggun Lee) Recursive algorithm and log-concavity of representations on the cohomology of $\overline{\mathcal{M}}_{0,n}$: Preprint.
58. (with Jinwon Choi and Donggun Lee) Characteristic polynomials of $\overline{\mathcal{M}}_{0,n}$ and log-concavity: Preprint.
. 선형 대수학과 함께 배우는 양자 정보 이론(Quantum information theory and linear algebra), 경문사, 2022년(개정판), 2020년(초판). 초판 수정사항. [2021년 대한민국학술원 선정 우수학술도서]
현대수학입문- 개정판(Modern Mathematics), 2021년, 경문사.
대수기하학 입문(Introduction to Algebraic Geometry), 2022년 7월, 서울대학교 출판문화원 (1쇄 수정사항). 2023년 2월 2쇄. 2025년 2월 3쇄. [2023년 대한민국학술원 선정 우수학술도서]
Editor, "Moduli spaces, virtual invariants and shifted symplectic structures", KIAS Springer Series Volume 4, April 2025.
리만 가설과 마이클 아티야: 대학신문 2018년 11월 5일. 호라이즌 2019년 1월.
시론: 서울경제, 2014년 8월 10일.
수학의 정당한 사용: 수리과학부 뉴스레터, 2015년 3월.
불멸의 힐버트 1-5: 호라이즌 2020.
월장의 추억: 호라이즌 2021.
허준이 교수의 연구업적: 호라이즌 2022.
시론: 서울경제, 2022년 7월 11일.
기하학의 진화: 스켑틱, 2022년 9월.
시론: 서울경제, 2023년 1월 19일.
중앙일보 과학산책: 2023년 3월 9일, 3월 23일, 4월 13일, 4월 27일, 5월 11일, 5월 25일, 6월 8일, 7월 6일, 7월 27일, 8월 17일, 9월 7일, 9월 28일, 10월 19일, 11월 9일, 11월 30일, 12월 21일. 2024년 1월 11일, 2월 1일, 2월 22일.
1. Equivariant cohomology theory. (2008)
2. Geometric invariant theory. (2003)
3. Hyperkahler geometry. (2005)
4. Intersection cohomology of GIT quotients. (2004)