Publication
List
1.
Cohomology of
quotients and moduli spaces of vector bundles: Thesis,
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
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,
8.
(with
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 Zeitschrift 252,
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) Landau-Ginzburg/Calabi-Yau
correspondence via quasi-maps, I: Preprint.
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 60th
Birthday.)
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: Preprint.
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: to appear in Communications in Mathematical
Physics.
37. (with Huailiang Chang and Jun Li) Torus localization and wall crossing
formulas for cosection localized virtual cycles: Preprint.
Lecture
Notes
1.
Equivariant
cohomology theory. (2008)
2.
Geometric invariant theory.
(2003)
3.
Hyperkahler geometry.
(2005)
4.
Intersection
cohomology of GIT quotients. (2004)