hi@tcqi
_

戚天成Tian-Cheng Qi

PhD Student at Fudan University

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I am a PhD student in the School of Mathematical Sciences of Fudan University advised by Prof. Wu Quanshui. 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. He Zhuo-Heng.

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.

\bullet Twisted Poincaré duality for orientable Poisson manifolds, 17th National Conference on Algebra, Harbin Engineering University, China, Aug.13, 2025.

\bullet Twisted Poincaré duality for orientable Poisson manifolds, Workshop on Algebraic Deformation and Quantization, Ningbo University, China, Aug.23, 2025.

Teaching Assistant

Modern Algebra II(H), Syllabus, Fudan University, China2023.9–2023.12

Study Notes

Here are some of my study notes on the basics of algebra (in Chinese).

\bullet Affine Schemes, last edited on Feb. 2025.
\bullet Commutative Algebra, last edited on Jun. 2025.
\bullet Dedekind Domain, last edited on Feb. 2025.
\bullet Derived Category, last edited on Dec. 2024.
\bullet Diamond Lemma, last edited on July. 2025.
\bullet Gelfand-Kirillov Dimension, last edited on Sep. 2025.
\bullet Goldie’s Theorem, last edited on Sep. 2025.
\bullet II-adic Completion, last edited on Feb. 2025.
\bullet Lie Algebra, last edited on July. 2025.
\bullet Representation Theory of Finite Groups, last edited on Jan. 2025.