University of Wisconsin-Madison

Department of Mathematics, Harmonic Analysis Direction

United States · PhD

The Department of Mathematics at the University of Wisconsin-Madison has a deep tradition in harmonic analysis, encompassing singular integrals, function spaces, and partial differential equations. It is a strong academic institution for research on harmonic analysis and problems related to the Kakeya conjecture.

学术历史

UW-Madison's harmonic analysis tradition is closely tied to the legacy of Alberto Calderón, who collaborated with Zygmund at the University of Chicago before his influence extended to Wisconsin. The institution has long maintained high-level research output in singular integral operators and function space theory.

当前状态

The UW-Madison Department of Mathematics currently offers courses in harmonic analysis, partial differential equations, and function spaces, with an active seminar in the analysis direction. The institution maintains its traditional strengths in singular integrals and function spaces, providing the analytical tools foundational to research on the Kakeya problem.

实验室 / 研究中心

UW-Madison Mathematics Department

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关键人物

Alexander Kiselev

Professor

Expert in partial differential equations and harmonic analysis, with important contributions to fluid mechanics equations and the Schrödinger equation. His research is closely connected to harmonic analysis tools.

标志性成果

学术资源

UW-Madison Mathematics Course List → 公开课/MOOC
来源:UW-Madison Department of Mathematics official website
UW-Madison Department of Mathematics Graduate Admissions → 官方资源
来源:UW-Madison Department of Mathematics official website

证据

排名

US News Best Graduate Schools #Top 15 in the United States (Mathematics) (2024)

出处:US News Best Graduate Schools →

师资

1 位相关教师

知名:Alexander Kiselev

研究产出

The analysis group consistently produces high-quality papers; see MathSciNet for details

就业去向

PhD graduates pursue careers at research universities and in industry, including R&D laboratories and quantitative finance

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