Huanchen Bao’s Website

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

Photo
Me in the Department of Mathematics at NUS

Contact Information

Email: (myfirstname)@nus.edu.sg

Office: S17-0617

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

Job opportunities

There is one postdoc position available under my grant. It is a two-year position with a possible third year extension. There is no teaching obligation. If you are interested, please send me your CV and research statement. Other application materials (e.g., letters of recommendation) can be arrange afterwards.

Research Interests

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

Award

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

Publications and Preprints

Published papers:

    1. Quantum symmetric pairs at roots of 1, Adv. Math. 380 (2021), 107576.
      (joint with Thomas Sale)
    2.  Canonical bases fro tensor products and super Kazhdan-Lusztig theory, J. Pure Appl. Alg. 224 (2020), 106347.
      (joint with Weiqiang Wand and Hideya Watanabe)
    3. A categorification of Hecke algebras with parameters 1 and v, J. Algebra, 538 (2019), 26-38.
    4. Categorification of quantum symmetric pairs I, Quantum Topology, 9 (2018), 643-714.
      (joint with Peng Shan, Ben Webster and Weiqiang Wang)
    5. Canonical bases arising from quantum symmetric pairs, Invent. Math. 213 (2018), 1099-1177.
      (joint with Weiqiang Wang)
    6. 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)
    7. Multiparameter quantum Schur duality of type B, Proc. AMS 146 (2018), 3203-3216.
      (joint with Hideya Watanabe and Weiqiang Wang)
    8. Kazhdan-Lusztig Theory of super type D and quantum symmetric pairs, Represent. Theory 21 (2017), 247-276.
    9. 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)

Preprints:

    1. A Birkhoff-Bruhat Atlas for partial flag varieties, arXiv:2007.09873.
      (joint with Xuhua He)
    2. Flag manifolds over semifields, arXiv:2003.13209.
      (joint with Xuhua He)
    3. The m=2 amplituhedron, arXiv:1909.06015.
      (joint with Xuhua He)
    4. Canonical bases arising from quantum symmetric pairs of Kac-Moody type, arXiv:1811.09848.
      (joint with Weiqiang Wang)
    5. Positivity of i-canonical bases, arXiv:1809.01041

 

Teaching-Spring 2021

MA3201-Algebra II