Huanchen Bao’s Website

I am an assistant professor in the Department of Mathematics at the National University of Singapore.

Me in the Department of Mathematics at NUS

Contact Information

Email: (myfirstname)

Office: S17-0617

Address: Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore 119076.

Research Interests

My field of research interest is in representation theory, including its connections with geometry, combinatorics, and categorification. Here is my CV and my Google Scholar page.


2020 Chevalley Prize in Lie theory (joint with Weiqiang Wang).

Publications and Preprints

Published papers:

    1. Positivity of i-canonical bases, arXiv:1809.01041 (accepted in Pure Appl. Math. Q.).
    2. A Birkhoff-Bruhat Atlas for partial flag varieties, Indag. Math. (N.S.) 32 (2021), no. 5, 1152–1173.
      (joint with Xuhua He)
    3. Flag manifolds over semifields, Algebra and Number Theory 15 (2021), no. 8, 2037–2069.
      (joint with Xuhua He)
    4. Canonical bases arising from quantum symmetric pairs of Kac-Moody type, Compos. Math. 157 (2021), no. 7, 1507–1537.
      (joint with Weiqiang Wang)
    5. Quantum symmetric pairs at roots of 1, Adv. Math. 380 (2021), 107576.
      (joint with Thomas Sale)
    6.  Canonical bases fro tensor products and super Kazhdan-Lusztig theory, J. Pure Appl. Alg. 224 (2020), 106347.
      (joint with Weiqiang Wand and Hideya Watanabe)
    7. A categorification of Hecke algebras with parameters 1 and v, J. Algebra, 538 (2019), 26-38.
    8. Categorification of quantum symmetric pairs I, Quantum Topology, 9 (2018), 643-714.
      (joint with Peng Shan, Ben Webster and Weiqiang Wang)
    9. Canonical bases arising from quantum symmetric pairs, Invent. Math. 213 (2018), 1099-1177.
      (joint with Weiqiang Wang)
    10. Geometric Schur duality of classical type, [Appendix by Bao, Li, and Wang], Transform. Groups 23 (2018), 329-389.
      (joint with Jonathan Kujawa, Yiqiang Li and Weiqiang Wang)
    11. Multiparameter quantum Schur duality of type B, Proc. AMS 146 (2018), 3203-3216.
      (joint with Hideya Watanabe and Weiqiang Wang)
    12. Kazhdan-Lusztig Theory of super type D and quantum symmetric pairs, Represent. Theory 21 (2017), 247-276.
    13. Canonical bases in tensor products revisited, Amer. J. Math. 138 (2016), 1731-1738.
      (joint with Weiqiang Wang)

Research Monograp:

    1. A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs, Asterisque 402, 2018, vii+134pp.
      (joint with Weiqiang Wang)


    1. Coordinate rings on symmetric spaces, arXiv:2402.08258.
      (joint with Jinfeng Song)
    2. Acyclic matchings on Bruhat intervals and applications to total positivity, arXiv:2401.15933.
      (joint with Xuhua He)
    3. Symmetric subgroup schemes, Frobenius splittings, and quantum symmetric pairs, arXiv:2212.13426.
      (joint with Jinfeng Song)
    4. Total positivity in twisted product of flag varieties, arXiv:2211.11168.
      (joint with Xuhua He)
    5. Product structure and regularity theorem for totally nonnegative flag varieties, arXiv:2203.0213.
      (joint with Xuhua He)
    6. The m=2 amplituhedron, arXiv:1909.06015.
      (joint with Xuhua He)


Ph.D. Students: Jinfeng Song, York Ye.