Publications | Weiqiang Wang

2004

Hilbert schemes, integrable hierarchies, and Gromov-Witten theory, (with W.-P. Li and Z. Qin). IMRN 40; 2004.

2085-2104. arXiv:math/0302211

The cohomology rings of Hilbert schemes via Jack polynomials, (with W.-P. Li and Z. Qin). CRM Proc. and Lect. Notes 38; 2004.

249-258. arXiv:math/0411255

2003

Equivariant K-theory, generalized symmetric products, and twisted Heisenberg algebra. Commun. Math. Phys. 234; 2003.

101-127. arXiv:math/0104168

Lie subalgebras of differential operators on the super circle, (with S.-J. Cheng). Publ. RIMS 39; 2003.

545-600. arXiv:math/0103092

Stability of the cohomology rings of Hilbert schemes of points on surfaces, (with W.-P. Li and Z. Qin). J. reine angew. Math. 554; 2003.

217-234. arXiv:math/0107139

Universal rings arising in geometry and group theory, In: S. Cutkosky et al (eds.), Vector bundles and representation theory. Contemp. Math. 322; 2003.

125-140. arXiv:math/0211093

2002

Twisted vertex representations and spin characters, (with N. Jing). Math. Z. 239; 2002.

Twisted vertex representations via spin groups and the McKay correspondence, (with I. Frenkel and N. Jing). Duke Math. J. 111; 2002.

51-96. arXiv:math/0007159

Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces, (with W.-P. Li and Z. Qin). Math. Ann. 324; 2002.

105-133. arXiv:math/0009132

Hilbert schemes and W algebras, (withW.-P. Li and Z. Qin). Internat. Math. Res. Notices 27; 2002.

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My papers in arXiv

I have research interests in the following subjects:

Quantum groups, quantum symmetric pairs, and canonical bases
Hecke algebras: finite, affine, and degenerate/spin variants
(Spin) symmetric groups and algebraic q-combinatorics
Infinite-dimensional Lie algebras and vertex algebras
(Super) category O and Kazhdan-Lusztig theory
Representation theory of Lie superalgebras
Geometric representation theory
Modular representation theory
Categorification
(More keywords: Schur duality, Howe duality, super duality, McKay correspondence, Hilbert schemes of points)

Recent Publications

Contact

WEIQIANG WANG

ww9c@virginia.edu
434-924-4946
University of Virginia Department of Mathematics
231 Kerchof Hall
PO Box 400137
Charlottesville VA 22904