Yaron Ostrover

Professor Yaron Ostrover is a faculty member in the Department of Theoretical Mathematics at the School of Mathematical Sciences, Tel Aviv University. His academic journey includes being a von Neumann fellow at the Institute for Advanced Study during the 2018-2020 academic years and previously serving as a C.L.E Moore instructor in the Department of Mathematics at MIT. He received his Ph.D. from Tel Aviv University under the supervision of Leonid Polterovich.

His educational background includes:

• Ph.D. in Mathematics from Tel Aviv University (supervised by Leonid Polterovich)
• Previous postdoctoral positions including C.L.E Moore instructor at MIT
• Von Neumann fellow at the Institute for Advanced Study (2018-2020)

Professor Ostrover's research focuses on the intersection of geometry, dynamics, and mathematical physics. His primary areas of interest are symplectic geometry and Hamiltonian dynamics, with specific emphasis on the geometry of the group of Hamiltonian diffeomorphisms, Floer and quantum homology, symplectic embeddings, billiards dynamics, interaction between symplectic and convex geometry, asymptotic geometric analysis, and the theory of symplectic measurements. His work bridges abstract mathematical concepts with applications in mathematical physics, creating innovative approaches to understanding geometric structures and dynamical systems.

An analysis of his recent publications reveals a consistent focus on symplectic geometry and its connections to other mathematical domains. His research demonstrates a progression from foundational work in symplectic capacities and embeddings to more specialized investigations of billiards dynamics, Lagrangian products, and connections to integrable systems like the Toda lattice. A notable trend is the increasing interdisciplinary nature of his work, connecting symplectic geometry with convex geometry, asymptotic analysis, and mathematical physics.

Professor Ostrover has received recognition through prestigious positions including:

• von Neumann Fellow at the Institute for Advanced Study (2018-2020)
• C.L.E Moore Instructor position at MIT

As a principal investigator, he has led significant research projects including "Symplectic Measurements and Hamiltonian Dynamics" (SYMPLECTIC), an ERC Starting Grant from 2015-2020, and serves as a local coordinator for the "Topology in Dynamics and Physics" (TIDY) program. He has co-organized numerous international conferences including LP-60: Geometry and Dynamics (2023, ETH Zürich), Finite Dimensional Integrable Systems in Geometry & Mathematical Physics (2022, Tel Aviv University), and Topological Data Analysis meets Symplectic Topology (2018, Tel Aviv University).

Professor Ostrover is actively involved in teaching at Tel Aviv University, offering courses such as Calculus 1A-3, Analysis on Manifolds, Topics in Geometry Mechanics and Dynamics, Introduction to Dynamical Systems, Introduction to Symplectic Geometry, and Non-Euclidean Geometry. He previously taught Measure and Integration and Calculus at MIT.