刘煜凡 (Yufan Liu)

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.

Education

• 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)

Research Interests

Algebraic Number Theory and Arithmetic Geometry

• local-global principle
• weak/strong approximation
• Brauer-Manin obstruction
• cohomological obstructions
• rational points
• integral points

Publications

None yet.

Preprints

1. Yufan Liu (2026). Vertical unramified Brauer groups of Galois normic bundles. arXiv:2601.00052
2. Kai Huang and Yufan Liu (2025). Local-global principle for triangularizability and diagonalizability of matrices. arXiv:2511.15827
3. Yongqi Liang and Yufan Liu (2025). Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle. arXiv:2504.18293

Talks & Presentations

• 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