Hongsheng Hu / 胡泓昇

A stupid math guy.

Latest update: Mar. 19, 2026.

Assistant Professor, School of Mathematics, Hunan University, Changsha 410082, China.

CV & 中文简历.

Research Interests

Algebra, representation theory, Lie theory, Coxeter groups.

E-mail

huhongsheng (at) hnu (dot) edu (dot) cn

Writings

• Boundedness of Lusztig's a-function for Coxeter groups of finite rank.

  j.w. Xiaoyu Chen (陈晓煜).
  Preprint, 2025. 　 arXiv

• Asymptotic log-concavity of dominant lower Bruhat intervals via Brunn–Minkowski inequality.

  j.w. Gaston Burrull and Tao Gui (桂弢).
  Preprint. 2024. 　 arXiv
  Extended abstract (FPSAC 2024): Sém. Lothar. Combin. 91B (2024), Art. 94, 12 pp. 　 poster

• Strongly dominant weight polytopes are cubes.

  j.w. Gaston Burrull and Tao Gui (桂弢).
  Preprint. 2024. 　 arXiv

• Representations of Coxeter groups of Lusztig's a-function value 1.

  Online, Comm. Algebra, 2026. 　 DOI 　 arXiv

• On exterior powers of reflection representations, II.

  Online, Canad. J. Math., 2025. 　 DOI 　 arXiv

• Weyl group symmetries of the toric variety associated with Weyl chambers.

  j.w. Tao Gui (桂弢) and Minhua Liu (刘敏华).
  Bull. Lond. Math. Soc. 57 (2025), no. 10, 3079–3094. 　 DOI 　 arXiv

• Some infinite-dimensional representations of certain Coxeter groups.

  Ann. Comb. 29 (2025), no. 1, 101–115. 　 DOI 　 arXiv

• 最小二乘解与高斯消元法的注记. (A note on least squares solutions and Gaussian eliminations.)

  Teaching paper, in Chinese. 大学数学 (College Mathematics), 2024, 40(4):59–62. 　 Link

• On exterior powers of reflection representations.

  Bull. Aust. Math. Soc. 110 (2024), no. 1, 90–102. 　 DOI 　 arXiv

• Reflection representations of Coxeter groups and homology of Coxeter graphs.

  Algebr. Represent. Theory 27 (2024), no. 1, 961–994. 　 DOI 　 arXiv

• Coxeter 群的 "反射" 表示. ("Reflection" representations of Coxeter groups.)

  Ph.D. Dissertation, in Chinese. 2022. 　 Full-text PDF

Teaching

• Since 2024. Hunan University. Linear Algebra A, Advanced Algebra B.

• 2016–2022. University of Chinese Academy of Sciences. Linear Algebra A (teaching assistant), Algebra (teaching assistant), Linear Algebra B (teaching assistant).

At last: 要保持数学工作者的纯粹, 纯粹得像一个小孩.