I am a PhD student in the School of Mathematical Sciences of Fudan University advised by Prof. Quanshui Wu. My current research interests lie primarily in noncommutative algebra/geometry, Poisson algebra/geometry and quantum group theory. I am also interested in Rubik’s Cube, table tennis and badminton. Here is my homepage on the website of the World Cube Association.
Previously, I received my bachelor’s degree in Mathematics and Applied Mathematics at Shanghai University, supervised by Prof. Zhuo-Heng He.
Education
| B.S. in Mathematics and Applied Mathematics, Shanghai University  Thesis: The Restricted Singular Value Decomposition of Three Matrices and Its Applications  | 2017-2021 | 
Papers
The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations
Shao-Wen Yu, Zhuo-Heng He, Tian-Cheng Qi, and Xiang-Xiang Wang
Journal of Computational and Applied Mathematics, 2021. paper
Twisted Poincaré duality for orientable Poisson manifolds
Tiancheng Qi, Quanshui Wu
arXiv:2502.16480, 2025. paper, submitted
Chevalley property and discriminant ideals of Cayley-Hamilton Hopf algebras
Yimin Huang, Zhongkai Mi, Tiancheng Qi, and Quanshui Wu
arXiv:2506.21879, 2025. paper, submitted
Talks
| Here are my conference presentations and invited talk experiences. | 
Twisted Poincaré duality for orientable Poisson manifolds, 17th National Conference on Algebra, Harbin Engineering University, China, Aug.13, 2025.
Twisted Poincaré duality for orientable Poisson manifolds, Workshop on Algebraic Deformation and Quantization, Ningbo University, China, Aug.23, 2025.
Twisted Poincaré duality for orientable Poisson manifolds, Professor Guodong Zhou’s Seminar, East China Normal University, China, Oct.24, 2025.
Teaching Assistant
| Modern Algebra II(H), Syllabus, Fudan University, China | 2023.9–2023.12 | 
Study Notes
| Here are some of my study notes on the basics of algebra (in Chinese). | 
 Affine Schemes, last edited on Feb. 2025.
 Commutative Algebra, last edited on Jun. 2025.
 Dedekind Domains, last edited on Feb. 2025.
 Derived Category, last edited on Dec. 2024.
 Diamond Lemma, last edited on July. 2025.
 Gelfand-Kirillov Dimension, last edited on Sep. 2025.
 Goldie’s Theorem, last edited on Sep. 2025.
 -adic Completion, last edited on Feb. 2025.
 Lie Algebras, last edited on Sep. 2025.
 Quantum Affine Spaces, last edited on May. 2024.
 Quotient Category, last edited on Aug. 2023.
 Representation Theory of Finite Groups, last edited on Jan. 2025.
 Wedderburn’s Principal Theorem, last edited on Jan. 2024.
 Zariski Tangent Space, last edited on Sep. 2025.
