Eugene Stepanov

Eugene Stepanov is a Full Professor at the St. Petersburg Branch of the Steklov Research Institute of Mathematics of the Russian Academy of Sciences. His research focuses on geometric measure theory, optimal transportation, and calculus of variations. He has contributed extensively to studies on metric measure spaces, isoperimetric problems, and differential equations.

Key research interests include the structure of metric cycles, branched transportation networks, and the application of geometric integration techniques to nonsmooth systems. His work bridges pure mathematics with applied areas such as control theory and stochastic analysis.

Stepanov has authored 56+ publications, with recent trends emphasizing multidimensional scaling, fractal geometry, and constructive controllability. His articles frequently explore the intersection of geometry and optimization, addressing problems like Steiner tree configurations and functional quantization. He has participated in conferences on optimal transport, geometric analysis, and measure theory, often contributing to seminar discussions on topics ranging from nonholonomic systems to invariant measures.

His research also involves collaborations with international scholars, evident in co-authored works on eigenvalue problems, self-contracted curves, and operator theory. Despite no listed awards, his prolific publication record highlights sustained contributions to foundational mathematical theories.