PhD in Mathematics
Columbia University, 1991
A genus-one FJRW invariant via two methods
Article
An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds
Article
The theory of n –mixed-spin-p fields
Article
A brief introduction to cosection localization and P-fields
Conference paper
A Survey on Mixed Spin P-fields
Article
On the Mathematics and Physics of Mixed Spin P-fields
Conference paper
The Gromov-Witten invariants of the Hilbert schemes of points on surfaces with p(g) > 0
Article
Witten’s top Chern class via cosection localization
Article
Donaldson-Thomas invariants of certain Calabi-Yau 3-folds
Article
On A twisted Landau-Ginzburg Type Theory
Conference paper
The Donaldson-Thomas invariants under blowups and flops
Article
1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane
Article
Polynomial Bridgeland stability conditions for the derived category of sheaves on surfaces
Article
Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
Article
Equivariant cohomology of incidence Hilbert schemes and infinite dimensional Lie algebras
Article
Calculus: Rigor, Concision, Clarity
Book
Integral cohomology of Hilbert schemes of points on surfaces
Article
On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants
Article
Incidence Hilbert schemes and infinite dimensional Lie algebras
Conference paper
Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
Conference paper
Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
Article
Ideals of the cohomology rings of Hilbert schemes and their applications
Article
Stability of the cohomology rings of Hilbert schemes of points on surfaces
Article
Stable rank-2 bundles on Calabi-Yau manifolds
Article
Curves in the Hilbert schemes of points on surfaces
Conference paper
The cohomology rings of Hilbert schemes via jack polynomials
Conference paper
Hilbert schemes and W algebras
Article
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Article
Article
Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
Article
On blowup formulae for the S-duality conjecture of Vafa and Witten II: The universal functions
Article
Vertex operator algebras and the blowup formula for the S-duality conjecture of Vafa and Witten
Article
Birational models of the moduli spaces of stable vector bundles over curves
Article
Relations between moduli spaces of stable bundles over P-2 and rationality
Article
Extensions of vector bundles and rationality of certain moduli spaces of stable bundles
Article
On Donaldson polynomials of rational ruled surfaces
Article
Rank-3 stable bundles on rational ruled surfaces
Article
VARIATION OF THE GIESEKER AND UHLENBECK COMPACTIFICATIONS
Article
Stable Vector-Bundles On Algebraic-Surfaces
Article
Incidence Hilbert schemes and infinite dimensional Lie algebras
A Survey on Mixed Spin P-fields
Article
On the Mathematics and Physics of Mixed Spin P-fields
Conference paper
The Gromov-Witten invariants of the Hilbert schemes of points on surfaces with p(g) > 0
Article
Witten’s top Chern class via cosection localization
Article
Donaldson-Thomas invariants of certain Calabi-Yau 3-folds
Article
On A twisted Landau-Ginzburg Type Theory
Conference paper
The Donaldson-Thomas invariants under blowups and flops
Article
1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane
Article
Polynomial Bridgeland stability conditions for the derived category of sheaves on surfaces
Article
Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
Article
Equivariant cohomology of incidence Hilbert schemes and infinite dimensional Lie algebras
Article
Calculus: Rigor, Concision, Clarity
Book
Integral cohomology of Hilbert schemes of points on surfaces
Article
On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants
Article
Incidence Hilbert schemes and infinite dimensional Lie algebras
Conference paper
Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
Conference paper
Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
Article
Ideals of the cohomology rings of Hilbert schemes and their applications
Article
Stability of the cohomology rings of Hilbert schemes of points on surfaces
Article
Stable rank-2 bundles on Calabi-Yau manifolds
Article
Curves in the Hilbert schemes of points on surfaces
Conference paper
The cohomology rings of Hilbert schemes via jack polynomials
Conference paper
Hilbert schemes and W algebras
Article
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Article
Article
Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
Article
On blowup formulae for the S-duality conjecture of Vafa and Witten II: The universal functions
Article
Vertex operator algebras and the blowup formula for the S-duality conjecture of Vafa and Witten
Article
Birational models of the moduli spaces of stable vector bundles over curves
Article
Relations between moduli spaces of stable bundles over P-2 and rationality
Article
Extensions of vector bundles and rationality of certain moduli spaces of stable bundles
Article
On Donaldson polynomials of rational ruled surfaces
Article
Rank-3 stable bundles on rational ruled surfaces
Article
VARIATION OF THE GIESEKER AND UHLENBECK COMPACTIFICATIONS
Article
Stable Vector-Bundles On Algebraic-Surfaces
Article
No Publications |
No Publications |
MATH5261 | Algebraic Geometry II |
MATH6911Y | Reading Course: Toric Geometry |
MATH4223 | Differential Geometry |
MATH5251 | Algebraic Geometry I |
MATH4991 | Capstone Project in Pure Mathematics |
MATH5261 | Algebraic Geometry II |
No Teaching Assignments |
No Teaching Assignments |
No Teaching Assignments |
WANG, Zi
Mathematics
SHI, Zhongyi
Mathematics
TAI, Sung Chit
Mathematics
SIT, Hiu Chi
Mathematics
TANG, Tianchen
Mathematics( Completed in 2022 )
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