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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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Publications

2016

Bao H, Wang W. Canonical bases in tensor products revisited. Amer. J. Math. 38; 2016.

1731-1738. arxiv:1403.0039

Arakawa T, Wang W. Modular affine vertex algebras and baby Wakimoto modules. Proc. Symp. Pure Math. 92; 2016.

1-15. arxiv:1503.00395

2015

Categorification of quantum Kac-Moody superalgebras, (with D. Hill). Trans. Amer. Math. Soc. 367; 2015.

1183-1216. arxiv:1202.2769

Irreducible characters for Kac-Moody Lie superalgebras, (with S.-J. Cheng and J.-H. Kwon). Proc. London Math. Soc. 110; 2015.

108-132. arxiv:1308.3030

Coinvariant algebras and fake degrees for spin Weyl groups of exceptional type, (with Constance Baltera). J. Algebra 442; 2015.

66-79. arxiv:1306.1290

Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras, (with Shun-Jen Cheng and Ngau Lam). Duke Math. J. 164; 2015.

617-695. arxiv:1203.0092

Frobenius map for the centers of Hecke algebras, (with Jinkui Wan). Trans. Amer. Math. Soc. 367; 2015.

5507-5520. arxiv:1208.4446

2014

Coinvariant algebras and fake degrees for spin Weyl groups of classical type, (with Constance Baltera). Math. Proc. Cambridge Philos. Soc. 156; 2014.

43-79. arxiv:1207.0525v2 

Quantum supergroups II. Canonical basis, (with S. Clark and D. Hill). Represent. Theory 18; 2014.

278-309. arxiv:1304.7837

Quantum supergroups III. Twistors,  (with S. Clark, Z. Fan, and Y. Li). Commun. Math. Phys. 332; 2014.

415-436. arxiv:1307.7056

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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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