Behnam Esmayli

Behnam Esmayli is a Visiting Assistant Professor in the Department of Mathematical Sciences at the University of Cincinnati since September 2023. Previously, he completed his PhD in Mathematics at the University of Pittsburgh in Summer 2021 under the supervision of Piotr Hajlasz. He holds a Master of Science degree from Sharif University of Technology in Iran.

Dr. Esmayli's research lies at the intersection of geometry, topology, and analysis, with a primary focus on geometric measure theory and analysis on metric spaces. His work explores the development of calculus on non-smooth spaces that lack traditional linear or smooth structures. He has made significant contributions to understanding first-order calculus and Sobolev functions on metric spaces, with applications to geometric function theory and geometric group theory. His research often addresses fundamental questions about distances, measures, and mappings in non-Euclidean settings.

His scholarly output demonstrates expertise across geometric measure theory, metric geometry, and functional analysis, with particular attention to Hausdorff measures, Sobolev spaces, and geometric properties of metric spaces. His work bridges theoretical mathematics with practical applications in understanding complex geometric structures.

Dr. Esmayli is an active contributor to mathematical education through multiple platforms. He writes for the AMS graduate blog, maintains the YouTube channel "YoungMeasures" with over 55 educational videos covering advanced mathematical topics, and has built a substantial reputation on Math StackExchange and MathOverflow where he focuses on questions involving distance, metric spaces, and measure theory.