Leonid Berlyand

Leonid Berlyand is Professor of Mathematics at Pennsylvania State University, with dual affiliations in the Materials Research Institute and the Huck Institute of Life Sciences. He was invited as a guest lecturer by the Collège de France in February-March 2023 under the recommendation of Professor Jean-François Joanny.

His research focuses on mathematical modeling of active matter systems across multiple scales, from nanomotors and swimming bacteria to bird flocks and human crowds. Key methodologies include phase-field and free boundary PDE models for active gels, multiscale and homogenization techniques for active suspensions, and rigorous stability analysis to distinguish physical from numerical instabilities. His work bridges analytical mathematics with experimental collaborations, particularly in modeling active suspensions through joint projects with experimentalists.

Berlyand's lecture series at Collège de France covered foundational modeling approaches, phase-field formulations, stability analysis in free boundary problems, and PDE-based multiscale modeling of active suspensions. His research demonstrates the critical role of analytical methods in validating numerical simulations for complex non-equilibrium systems.