Hongsheng Hu / 胡泓昇

A stupid math guy.

Latest update: Mar. 23, 2025.

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

CV & 中文简历.

Research Interests:

Algebra, representation theory, Lie theory, Coxeter groups and their representations, Kazhdan–Lusztig theory.

E-mail:

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

Writings (sort by manuscript completion time) :

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

  j.w. Tao Gui (桂弢) and Minhua Liu (刘敏华).
  Preprint. 2024. 　 arXiv

• On exterior powers of reflection representations, II.

  Accepted, Canad. J. Math., 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

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

  j.w. Gaston Burrull and Tao Gui (桂弢). FPSAC 2024 proceedings, extended abstract.
  Sém. Lothar. Combin. 91B (2024), Art. 94, 12 pp. 　 Link 　 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.

  Preprint. 2023. 　 arXiv

• 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

• 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

• Some infinite-dimensional representations of certain Coxeter groups.

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

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

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

At last: 要保持数学工作者的纯粹, 纯粹得像一个小孩.