Behnam Esmayli

Visiting Assistant Professor (Since Sep 2023) at University of Cincinnati

University of Cincinnati, Ohio, USA
Office: French Hall West, 5415
Email: esmaylibehnam [at] gmail.com; esmaylbm [at] ucmail.uc.edu

ORCID profile: https://orcid.org/0000-0002-5064-1215

My research is in analysis and geometry, including in non-Euclidean settings. This rather recent field aims to develop calculus on non-smooth spaces, which lack any linear or smooth structure that is typical of smooth manifolds. Its success has been immense. There is now a rich theory of first-order calculus and Sobolev functions on metric spaces that has allowed the development of non-linear potential theory in that setting.

The theory was motivated by, and has found applications to, geometric function theory (quasiconformal and quasisymmetric mappings) in metric spaces and geometric group theory. The ideas and tools have contributed back to the smooth setting of manifolds. A number of purely Euclidean questions have been solved by the use of machinery from metric analysis.

I enjoy my work and share parts of it through my YouTube channel YoungMeasures.

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Visiting Assistant Professor (Since Sep 2023) at University of Cincinnati

University of Cincinnati, Ohio, USAOffice: French Hall West, 5415Email: esmaylibehnam [at] gmail.com; esmaylbm [at] ucmail.uc.edu

University of Cincinnati, Ohio, USA
Office: French Hall West, 5415
Email: esmaylibehnam [at] gmail.com; esmaylbm [at] ucmail.uc.edu