ETH Zurich

Department of Mathematics — Geometric Measure Theory

Switzerland · PhD

The Department of Mathematics at ETH Zurich is a leading European center in geometric measure theory and geometric analysis, encompassing minimal surfaces, geometric variational problems, and geometric flows. It is a premier academic institution for studying geometric problems related to the Kakeya conjecture.

学术历史

ETH Zurich's tradition in geometric measure theory is closely associated with the work of scholars such as Leon Simon, who made foundational contributions to minimal surface theory and geometric measure theory. ETH has long maintained a leading position in Europe in geometric analysis and differential geometry, producing numerous top scholars in geometry.

当前状态

The Department of Mathematics at ETH Zurich currently offers courses in geometric measure theory, minimal surfaces, and differential geometry, with an active seminar series in geometry. The department maintains close collaborations with European mathematical institutions, providing PhD students with an international academic environment.

实验室 / 研究中心

ETH Department of Mathematics (D-MATH)

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关键人物

Alessandro Figalli

Professor (formerly)

Expert in geometric measure theory and optimal transport theory, and Fields Medalist (2018). He made important contributions to optimal transport, Monge-Ampère equations, and geometric measure theory. He formerly taught at ETH before moving to MIT.

Tristan Rivière

Professor

Expert in geometric analysis and the calculus of variations, with important contributions to minimal surfaces, harmonic maps, and geometric variational problems. Currently Director of the ETH Institute for Mathematical Research.

标志性成果

Figalli awarded the Fields Medal (2018), with part of his work related to geometric measure theory
Rivière's important contributions to minimal surfaces and geometric variational problems
ETH Mathematics consistently ranked among the global top 10 in the QS Mathematics rankings