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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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Publications

2007

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 

Infinite-dimensional aspects of representation theory and applications. (Edited with S. Berman, B. Parshall, L. Scott).. Contemporary Mathematics 392, AMS; 2005.

viii+154pp. Conference Proceedings.

2004

The Farahat-Higman ring of wreath products and Hilbert schemes. Adv. in Math. 187; 2004.

417-446. arXiv:math/0205071

Vertex algebras and the class algebras of wreath products. Proc. Lond. Math. Soc. 88; 2004.

381-404. arXiv:math/0203004

Correlation functions of strict partitions and twisted Fock spaces. Transformation Groups 9; 2004.
Ideals of the cohomology rings of Hilbert schemes and their applications, (with W.-P. Li and Z. Qin). Trans. AMS 356 ; 2004.

245-265. arXiv:math/0208070

The Bloch-Okounkov correlation functions at higher levels, (with Shun-Jen Cheng). Transformation Groups 9; 2004.

133-142. arXiv:math/0309186

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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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