Princeton University

Department of Mathematics · Harmonic Analysis

United States · PhD

The Department of Mathematics at Princeton University possesses a world-class tradition in harmonic analysis, with the profound influence of the Stein school encompassing restriction theory, singular integrals, the Kakeya problem, and related areas. It is one of the premier academic institutions for research on the Kakeya conjecture.

学术历史

Princeton's harmonic analysis tradition was established by Elias M. Stein, one of the founders of modern harmonic analysis, whose textbooks and research findings have influenced generations of analysts worldwide. Stein's students include leading contemporary figures such as Tao and Guth. Following Stein's passing in 2018, his academic legacy continues through his students' network and Princeton's analysis tradition.

当前状态

The Department of Mathematics currently offers courses in harmonic analysis, partial differential equations, geometric measure theory, and related areas, with active analysis seminars. Although the number of dedicated harmonic analysis faculty has decreased since Stein's passing, the academic tradition continues through visiting scholars and collaborative research.

实验室 / 研究中心

关键人物

标志性成果

• The formulation and partial proof of the Stein restriction conjecture
• The Stein school trained multiple leading figures in harmonic analysis, including Tao and Guth
• Princeton's Department of Mathematics has consistently ranked among the top three globally in QS/THE mathematics rankings

学术资源

证据