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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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Publications

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   

Virasoro algebra and wreath product convolution, (with I. Frenkel). J. Algebra 242; 2001.

656-671. arXiv:math/0006087

Generators for the cohomology ring of Hilbert schemes of points on surfaces, (with W.-P. Li and Z. Qin). IMRN 20; 2001.

1057-1074. arXiv:math/0009167

2000

Equivariant K-theory, wreath products, and Heisenberg algebra. Duke Math. J. 103; 2000.

1-23. arXiv:math/9907151 

Vertex representations via finite groups and the McKay correspondence, (with I. Frenkel and N. Jing). IMRN 4; 2000.

195-222. arXiv:math/9907166

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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

  • Multiparameter quantum Schur duality of type B
  • Geometric Schur duality of classical type [Appendix with H. Bao, Y. Li]
  • Canonical bases arising from quantum symmetric pairs
  • Categorification of quantum symmetric pairs I
  • Proceedings for conference on representation theory (in honor of Lusztig’s 70th birthday, 2016). (Edited with S.-J. Cheng and D. Vogan)
  • A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs

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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