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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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Publications

2004

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

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

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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

  • Braid group action and quasi-split affine ıquantum groups II: higher ranks
  • A Drinfeld type presentation for twisted Yangians
  • Nil-Brauer categorifies the split ı-quantum group of rank one
  • ıHall algebras of Jordan quiver and ıHall-Littlewood functions
  • ıHall algebras and ıquantum groups
  • PBW bases for modified quantum groups

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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