Yijun Yuan

About Me

I’m Yijun Yuan (袁 轶君 in Chinese), a Ph.D student at Yau Mathematical Sciences Center, Tsinghua University. I major in algebraic number theory and arithmetic geometry.

Research Interests

• \(p\)-adic Galois representations: especially the theory of \((\varphi,\Gamma)\)-modules
• Iwasawa theory: calculation of Iwasawa cohomology
• \(p\)-adic analysis
• arithmetic properties of combinatorial functions

Curriculum Vitae

• 2022.9 - 2025.6(expected) Ph.D.
  Yau Mathematical Sciences Center, Tsinghua University.
  Advisor: Lei Fu Former advisor: Haoran Wang
• 2018.9 - 2021.6 Ms.D.
  Shanghai Center for Mathematical Sciences, Fudan University
  Advisor 1: Quanshui Wu Advisor 2: Shanwen Wang
• 2014.9 - 2018.6 Undergraduate
  School of Mathematical Sciences, East China Normal University
  Advisor: Guodong Zhou

Papers

• Hyper-algebraic invariants of \(p\)-adic algebraic numbers. Shanwen Wang, Yijun Yuan*. arXiv:2402.15947 [math.NT]
• Truncated expansion of \(\zeta_{p^n}\) in the \(p\)-adic Mal’cev-Neumann field. Shanwen Wang, Yijun Yuan*. arXiv:2111.07127 [math.NT]
• Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\) (II). International Journal of Number Theory, 2023. Shanwen Wang, Yijun Yuan*. DOI:10.1142/S1793042124500015
• Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\). The Ramanujan Journal, 2022, 58(2): 549-595. Shanwen Wang, Yijun Yuan*. DOI:10.1007/s11139-021-00473-0

(*Corresponding author)

Teaching

• TA for Linear Algebra I (2022, autumn)
• TA for Linear Algebra I (2023, autumn)