معرفی
Nathan Ng is a Professor in the Department of Mathematics and Computer Science at the University of Lethbridge, Canada, and has served as the PIMS Site Director since 2019. His research lies at the intersection of analytic number theory and L-functions, with a particular focus on the Riemann zeta function, prime number distribution, and multiplicative number theory.
Education: He earned a B.Sc. from the University of British Columbia (1994), an M.Sc. from the University of Toronto (1995), and a Ph.D. from UBC (2000). His doctoral thesis, Limiting Distributions and Zeros of Artin L-functions, laid the groundwork for his subsequent research.
Research Interests: His work spans a wide range of topics in analytic number theory, including:
- Mean values and moments of L-functions
- Non-vanishing of L-functions
- Distribution of zeros of the Riemann zeta function
- Prime number races and comparative prime number theory
- Chebotarev density theorem and applications
- Convolution sums of arithmetic functions
Publications: He has published extensively in leading journals such as Proceedings of the London Mathematical Society, Duke Mathematical Journal, and Advances in Mathematics. His recent work includes studies on the sixth and eighth moments of the Riemann zeta function, subconvexity bounds for L-functions, and effective versions of Chebotarev's density theorem.
Awards and Honors: He received the Canadian Mathematical Society Doctoral Prize in 2001 for his outstanding doctoral dissertation.
Student Supervision: He has supervised or co-supervised numerous graduate students and postdocs, including:
- Ph.D. Students: Farzad Aryan (2016), Sourabhashis Das (ongoing), Quanli Shen (ongoing)
- M.Sc. Students: Allysa Lumley (2014), Majid Shahabi (2012)
- Postdocs: Lee Troupe, Peng-Jie Wong, Alia Hamieh, Timothy Trudgian, Brandon Fodden
Seminar and Conference Organization: He is an active organizer of the Lethbridge Number Theory and Combinatorics Seminar and has co-organized major conferences such as the Canadian Number Theory Association (CNTA XII) meeting in 2012 and the Analytic Number Theory and Diophantine Approximation Summer School in Ottawa (2008).
Labs and Teams: He is affiliated with the Lethbridge Number Theory Group, a vibrant research collective within the department that fosters collaboration and supports graduate training in number theory.
