"She
can't do sums a bit !" the Queens said together, with great emphasis.
"Can
you do sums?" Alice said, turning suddenly to the white Queen,
for she
didn't
like being found fault with so much. The Queen gasped and shut her
eyes.
"I
can do Addition," she said, "if you give me time - but I can't do
Subtraction under any circumstances!"
Research:
My primary areas of interest
are symplectic geometry and Hamiltonian dynamics.
In particular, I'm interested in Floer and quantum homology, mirror
symmetry, the geometry of the group of Hamiltonian diffeomorphisms, and
the theory of symplectic capacities.
Papers and Preprints:
Note: the files here might be slightly
different than the published versions.
- On the quantum homology algebra of toric Fano manifolds
(Joint with Ilya Tyomkin).
Selecta Mathematica. Volume 15, Number 1, June 2009.
- Brunn-Minkowski Inequality for
Symplectic Capacities of Convex Domains (Joint with Shiri
Artstein-Avidan).
International Mathematics Research Notices. Volume 2008, 2008.
article ID rnn044
- The M-ellipsoid,
Symplectic Capacities and Volume (Joint with Shiri Artstein-Avidan and
Vitali Milman).
Commentarii Mathematici Helvetici. Volume 83, Issue 2, 2008
- On
Symplectic Capacities and Volume Radius (Joint with Shiri
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 of Hofer's metric on the group of Hamiltonian diffeomorphism ( Joint
with Roy 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.
Email: ostrover at math dot mit dot edu (If
you are not a program then you know what to do....)
Yaron Ostrover
Department of Mathematics MIT, 2-230
77 Massachusetts Avenue
Cambridge, MA 02139,
U.S.A.
