Peking University

School of Mathematical Sciences · Analytic Number Theory

China · PhD

The School of Mathematical Sciences at Peking University is a leading institution in China in the field of analytic number theory, encompassing L-functions, sieve methods, automorphic forms, and related areas, providing rigorous academic training for research on number-theoretic aspects of the Kakeya conjecture.

学术历史

The analytic number theory tradition at Peking University is closely associated with the pioneering work of Min Sihe, Pan Chengdong, and Pan Chengbiao. Pan Chengdong made significant contributions to the Goldbach conjecture and is regarded as one of the founders of the Chinese school of analytic number theory. Peking University has long maintained a nationally leading position in analytic number theory.

当前状态

The School of Mathematical Sciences currently offers courses in analytic number theory, modular forms, automorphic representations, and related areas, with an active number theory seminar. The school maintains collaborative relationships with top mathematical institutions worldwide, providing an internationalized academic environment for students in number theory. The Beijing International Center for Mathematical Research (ICM) provides additional resources for analytic number theory research.

实验室 / 研究中心

Beijing International Center for Mathematical Research (ICM)

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关键人物

Zhang Yitang

Visiting Professor

Expert in analytic number theory who made a breakthrough contribution on bounded gaps between primes (2013), developing novel sieve techniques. He has served as a visiting professor at the Peking University School of Mathematical Sciences. His work intersects with number-theoretic tools relevant to the Kakeya problem.

Liu Ruochuan

Professor

Expert in number theory and arithmetic geometry, with significant contributions to p-adic Hodge theory and algebraic number theory. His work has cross-applications with analytic number theory.

标志性成果

Pan Chengdong's significant contributions to the Goldbach conjecture
Zhang Yitang's breakthrough on bounded gaps between primes (2013)
Peking University Mathematics received an A+ rating in the Ministry of Education's Fourth Round of Discipline Assessment