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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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Publications

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.
Algebraic structures behind Hilbert schemes and wreath products. Contemp. Math. 297; 2002.

271-295. arXiv:math/0011103

Hilbert schemes and symmetric products: a dictionary, (with Zhenbo Qin). Contemp. Math. 310; 2002.

233-257. arXiv:math/0112070

2001

Lagrangian construction of the (gl_n, gl_m)-duality. Commun. in Contemp. Math. 3; 2001.
Resolution of singularities of null cones. Canad. Math. Bull. 44; 2001.

491-503. arXiv:math/0005078

Howe duality for Lie superalgbras, (with S.-J. Cheng). Compositio Math. 128; 2001.

55-94. arXiv:math/0008093

Orbifold Hodge numbers of the wreath product orbifolds, (with J. Zhou). J. Geom. Phys. 38; 2001.

153-170. arXiv:math/0005124   

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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

  • Braid group symmetries on quasi-split ıquantum groups via ıHall algebras
  • Serre-Lusztig relations for ıquantum groups II
  • The q-Schur algebras and q-Schur dualities of finite type
  • Character formulae in category O for exceptional Lie superalgebra G(3)
  • A Serre presentation for the ıquantum groups
  • Hall algebras and quantum symmetric pairs II: reflection functors

Contact

WEIQIANG WANG

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

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