Princeton University

Department of Mathematics · Analytic Number Theory

United States · PhD

The Department of Mathematics at Princeton University is a world-leading center in analytic number theory, encompassing L-functions, sieve methods, the circle method, exponential sum estimates, and related areas. It is one of the most important academic institutions for research on number-theoretic aspects of the Kakeya conjecture.

学术历史

Princeton's analytic number theory tradition was established by Atle Selberg, Enrico Bombieri, and other masters. Selberg made foundational contributions to sieve methods and the distribution of zeros of the Riemann zeta function. Bombieri received the Fields Medal for his work on the large sieve and analytic number theory. The close collaboration with the Institute for Advanced Study (IAS) has made Princeton a global hub for analytic number theory research.

当前状态

The Department of Mathematics currently offers courses in analytic number theory, automorphic forms, L-functions, and related areas, with a highly active number theory seminar. The university shares academic resources with the IAS, and scholars such as Peter Sarnak move between the two institutions, providing students with a world-class environment for number theory research.

实验室 / 研究中心

关键人物

标志性成果

• Selberg's foundational work on the Selberg sieve and the Selberg symmetric square L-function
• Bombieri received the Fields Medal (1974) for the large sieve and analytic number theory
• Sarnak's numerous contributions to L-functions and arithmetic combinatorics
• Bhargava received the Fields Medal (2014)

学术资源

证据