Yaron Ostrover

Yaron Ostrover - Research

Alice laughed. "There's no use trying," she said: "one can't believe impossible things."
"I daresay you haven't had much practice," said the Queen.
"When I was your age, I always did it for half-an-hour a day.
Why, sometimes I've believed as many as six impossible things before breakfast."

My primary areas of interest are symplectic geometry and Hamiltonian dynamics.
In particular, I am interested in 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.

Papers and Preprints:

Note: the files here might be slightly different than the published versions.

Counterexample to Viterbo's Conjecture (with P. Haim-Kislev)

Preprint. arXiv:2405.16513. Submitted.

Quantitative Results on Symplectic Barriers (with P. Haim-Kislev and R. Hind)

Preprint. arXiv:2404.19396. Submitted.

From Lagrangian Products to Toric Domains via the Toda Lattice (with V. G. B. Ramos and D. Sepe)

Preprint. arXiv:2309.10912. To appear in Compositio Mathematica.

On the Existence of Symplectic Barriers (with P. Haim-Kislev and R. Hind)

Selecta Math. (N.S.) 30 (2024), no. 4, Paper No. 65.

Remarks on Symplectic Capacities of l_p Products (with P. Haim-Kislev)

Internat. J. Math. 34 (2023), no. 4, Paper No. 2350021, 21 pp.

Caustic-Free Regions for Billiards on Surfaces of Constant Curvature (with D. Florentin and D. Rosen).

J. Geom. Phys. 168 (2021), Paper No. 104305

Symplectic Embeddings of the l_p Sum of Two Discs (with V. G. B. Ramos).

J. Topol. Anal. 14 (2022), no. 4, 793–821.

Duality of Caustics in Minkowski Billiards (with S. Artstein-Avidan, D. Florentin, and D. Rosen).

Nonlinearity, (2018), Volume 31, Number 4.

The Symplectic Size of a Randomly Rotated Convex Body (with E. D. Gluskin).

Int. Math. Res. Not. IMRN (2019), no. 8, 2538–2559.

A Remark on Projections of the Rotated Cube to Complex Lines (with E. D. Gluskin).

Geometric Aspects of Functional Analysis, Lecture Notes in Math. 2169 (2017), 137-149.

Asymptotic Equivalence of Symplectic Capacities (with E. D. Gluskin).

Comment. Math. Helv. 91 (2016), no. 1, 131-144..

On Godbersen's Conjecture (with S. Artstein-Avidan, D. Florentin, and K. Einhorn).

Geometriae Dedicata 178 (2015), 337-350.

When symplectic topology meets Banach space geometry.

Proceedings of the ICM, Seoul, (2014). Vol II, pp 959-981.

Remarks about Mixed Discriminants and Volumes (with S. Artstein-Avidan and D. Florentin).

Communications in Contemporary Mathematics. 16 (2014), no. 2, 1350031.

From Symplectic Measurements to the Mahler Conjecture (with S. Artstein-Avidan and R. Karasev).

Duke Mathematical Journal Volume 163, (2014), 2003-2022. .

The Existence of a Billiard Orbit in the Regular Hyperbolic Simplex (with O. Badt).

Journal of Topology and Analysis. Volume No. 06, Issue No. 1, (2014).

Bounds for Minkowski Billiard Trajectories in Convex Bodies (with S. Artstein-Avidan).

Math. Res. Not. IMRN Vol. 2014, no. 1, 165--193, (2012).

On the Uniqueness of Hofer's Geometry (with L. Buhovsky).

Geometric and Functional Analysis. (2011), Volume 21, Issue 6, pp 1296-1330.

Localization of Multi-Dimensional Wigner Distributions (with E. H. Lieb).

Journal of Mathematical Physics, Vol 51, Issue 10, (2010). doi:10.10631/1.3486068.

On the Quantum Homology Algebra of Toric Fano Manifolds (with I. Tyomkin).

Selecta Mathematica. Volume 15, Number 1, (2009), 121-149.

Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains (with S. Artstein-Avidan).

International Mathematics Research Notices. Volume 2008, (2008). article ID rnn044, 31pp.

The M-ellipsoid, Symplectic Capacities and Volume (with S. Artstein-Avidan and V. Milman).

Commentarii Mathematici Helvetici. Volume 83, Issue 2, (2008), 359-369.

On Symplectic Capacities and Volume Radius (with S. Artstein-Avidan).

Preprint. math.SG/0603411.

Calabi Quasi-morphisms for Some Non-monotone Symplectic Manifolds.

Algebraic & Geometric Topology 6 (2006), 405-434.

On the Extremality of Hofer's Metric on the Group of Hamiltonian Diffeomorphism (with R. Wagner).

International Mathematics Research Notices. No. 35 (2005), 2123-2142.

A Comparison of Hofer's Metrics on Hamiltonian Diffeomorphisms and Lagrangian Submanifolds.

Communications in Contemporary Mathematics Vol. 5, No. 5 (2003), 803-812.

Geometric and Algebraic properties of the group of Hamiltonian Diffeomorphisms. Ph.D thesis (pdf).

Scientific Projects:

Symplectic Measurements and Hamiltonian Dynamics (SYMPLECTIC), ERC Starting Grant, 2015-2020.

Topology in Dynamics and Physics (TIDY).

Workshops & Conferences Co-Organized:

LP-60: Geometry and Dynamics. A Conference in Honour of Leonid Polterovich, June 26 - 30, 2023, ETH Zürich.

co-organized with Paul Biran (ETH Zürich), Michael Entov (Technion), and Felix Schlenk (Université de Neuchâtel).

Finite Dimensional Integrable Systems in Geometry & Mathematical Physics, June 20 - 24, 2022, Tel Aviv University.

co-organized with Shiri Artstein-Avidan (Tel Aviv U.), Misha Bialy (Tel Aviv U.), Lev Buhovski (Tel Aviv U.),
Vladimir Matveev (U. Jena), and Sergei Tabachnikov (Penn State U.).

Topological Data Analysis meets Symplectic Topology, April 29 - May 3, 2018, Tel Aviv University.

co-organized with Leonid Polterovich (Tel Aviv University) and Shmuel Weinberger (University of Chicago).

Quantum Mechanics meets Symplectic Topology, May 15-19, 2016, Tel Aviv University.

co-organized with Paul Busch (University of York), Stephane Nonnenmacher (Université Paris-Sud),
and Leonid Polterovich (Tel Aviv University).

Mini-Workshop on Symplectic Geometry & Hamiltonian Dynamics, May 28-31, 2015, Dead Sea, Israel.

co-organized with Frol Zapolsky (University of Haifa).

Computational Symplectic Topology Workshop, May 17-26, 2015, Tel Aviv University, Israel.

co-organized with Richard HInd (University of Notre Dame), Leonid Polterovich (Tel Aviv University),
and Michael Usher (University of Georgia).

IMU-AMS special session on Geometry and Dynamics, June 18-19, 2014, Tel Aviv University, Israel.

co-organized with Michael Usher (University of Georgia).

Symplectic and Contact Dynamics Workshop, March 23-27, 2014, Tel Aviv University, Israel.

co-organized with Peter Albers (Universität Münster), and Leonid Polterovich (Tel Aviv University).

Interaction Between Algebra and Dynamics in Symplectic Topology, June 17-21, 2012, Technion, Israel.

        co-organized with Michael Entov (Technion).

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