NHA XUAN TRUONG
Postdoc
Beijing International Center for Mathematical Research
Peking University
No.5 Yiheyuan Road, Haidian District,
Beijing, 100871, China,
Email: nxtruong@bicmr.pku.edu.cn
Research Interests:
p-adic modular forms, eigencurves, p-adic dynamics
Publications:
6. On mod p Hecke algebras of abstract p-adic automorphic forms. Submitted. [arXiv]
5. Density of repelling periodic points for cubic rational maps. Submitted. [arXiv]
4. Local fields, iterated extensions, and Julia Sets (with Pui Hang Lee and Michelle Manes). Under revision. [arXiv]
3. Slopes of modular forms and geometry of eigencurves (with Ruochuan Liu, Liang Xiao, and Bin Zhao). To appear in Annals of Mathematics. [Journal] [arXiv]
2. A local analogue of the ghost conjecture of Bergdall-Pollack (with Ruochuan Liu, Liang Xiao, and Bin Zhao). Peking Mathematical Journal 7 (2024), no. 1, 247-344. [Journal] [arXiv]
1. An explicit computation of the Hecke operator and the ghost conjecture. Research in Number Theory 9 (2023), no. 2, Paper No. 41, 23 pp. [Journal] [arXiv]
Current teaching:
Past Teaching:
University of Hawai’i, Manoa
• MATH 611 Modern Algebra (graduate course)
• MATH 412 Introduction to Abstract Algebra
• MATH 499 Putnam Competition Preparation Sessions
• MATH 321 Introduction to Advanced Mathematics
• MATH 244 Calculus IV
• MATH 243 Calculus III
• MATH 242 Calculus II
• MATH 215 Applied Calculus I
• MATH 100 Survey of Mathematics