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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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2008

Hecke-Clifford algebras and spin Hecke algebras II: the rational double affine type, (with Ta Khongsap). Pacific J. Math. 238; 2008.

73-103. arxiv:0710.5877

Brundan-Kazhdan-Lusztig and super duality conjectures, (with Shun-Jen Cheng). Publ. RIMS 44; 2008.

1219-1272. arxiv:0705.0050

Modular representations and branching rules for wreath Hecke algebras, (with Jinkui Wan). IMRN; 2008.

Article ID: rnn128-31, 31 pages. arxiv:0806.0196

2007

Hilbert schemes of points on the minimal resolution and soliton equations, (with Z. Qin). Contemp. Math. 442; 2007.

435-462. arXiv:math/0404540

The correlation functions of vertex operators and Macdonald polynomials, (with S.-J. Cheng). J. Algebraic Combin. 25; 2007.

43-56. arXiv:math/0512064

A Fock space approach to representation theory of  osp(2|2n),  (with S.-J. Cheng and R.B. Zhang). Transform. Groups 12; 2007.

209-225. arXiv:math/0510106

Spin Hecke algebras of finite and affine types. Adv. in Math. 212; 2007.

723-748. arXiv:math/0611950

The Bloch-Okounkov correlation functions of classical type, (with Dave Taylor). Commun. Math. Phys. 276; 2007.

473-508. arXiv:math/0609036

2005

Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants, (with W.-P. Li and Z. Qin). Contemp. Math. 392; 2005.

67-81

Integral operators and integral cohomology classes of Hilbert schemes, (with Z. Qin). Math. Ann. 331; 2005.

669-692. arXiv:math/0405600 

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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

  • Cells in affine q-Schur algebras
  • The nil-Brauer category
  • Formulae of ı-divided powers in U_q(sl_2), III
  • Braid group action and quasi-split affine ıquantum groups I
  • An intrinsic approach to relative braid group symmetries on ıquantum groups
  • 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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