I am a mathematician working at the Weizmann Institute of Science, currently on leave from Tel Aviv University.
Field of Research:
Analysis, Convex Geometry, High-dimensional effects (i.e., when the dimension tends to infinity).
An imprecise meta-mathematical principle:
Certain high-dimensional objects – such as a convex body, a probability density, a polynomial in many variables, or a coloring of a large graph – necessarily contain a regular sub-structure, with many approximate symmetries. Convexity, or non-negative curvature, seem to strengthen the effect.
My best work, joint with A. Klartag