Yufan Liu - Homepage

About

I am a Ph.D. student at the School of Mathematical Sciences, University of Science and Technology of China (USTC), under the supervision of Professor Yongqi Liang (梁永祺). My research focuses on algebraic number theory and arithmetic geometry. I am currently visiting IMJ-PRG, hosted by Cyril Demarche.

A list of my publications and preprints can be found on my arXiv page.

2021–present: Ph.D. Student in Mathematics
School of Mathematical Sciences, University of Science and Technology of China (USTC)
Advisor: Yongqi Liang

2017–2021: Bachelor of Mathematics and Applied Mathematics
School of the Gifted Young, University of Science and Technology of China (USTC)

Algebraic Number Theory and Arithmetic Geometry

Yufan Liu. Vertical unramified Brauer groups of Galois normic bundles. J. Number Theory 292 (2027), pp. 68-77. doi. (arXiv:2601.00052)

Yufan Liu. Ideal class maps on projective spaces and Grassmannians. arXiv:2608.14623
Kai Huang and Yufan Liu. Local-global principle for triangularizability and diagonalizability of matrices. arXiv:2511.15827
Yongqi Liang and Yufan Liu. Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle. arXiv:2504.18293

Local-global principle for triangularizability and diagonalizability of matrices
Séminaire Mathjeunes, IMJ-PRG, Paris, France — June 2026
Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle
Y-RANT VII, University of Nottingham, Nottingham, UK — September 2025
Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle
ENTR Workshop 25, University of Paderborn, Paderborn, Germany — August 2025
Brauer group of abelian normic bundle
第六届珞珈数学博士生论坛, Wuhan University, Wuhan, China — April 2025