"A man's mind grows narrow in a narrow place, whose mind is enlarged only because he has lived in a large place: but what is got by books and thinking is preserved in a narrow place as well as in a large place. A man cannot know modes of life as well in [Princeton] as in London; but he may study mathematicks as well in [Princeton]." Samuel Johnson

Though I have broad interests in PDE, my main current  focus is on  the Einstein field equations of  General Relativity.  In collaboration with I. Rodnianski, and,  more recently,  J. Szeftel. I am still  working on various issues concerning the bounded curvature conjecture.   Together with A.  Ionescu, and, more recently,  S. Alexakis, I have been working on the rigidity problem of  stationary  black hole solutions.

"...I had the occasion to ask him [Henry Moore] how one should view sculptures: from afar or from near by. Moore's response was that the greatest sculptures can be viewed -- indeed, should be viewed -- from all distances since new aspects of beauty will be revealed in every scale. Moore cited the sculptures of Michelangelo as examples: from the excellence of their entire proportion to the graceful delicacy of the fingernails. The mathematical perfectness of the black holes of Nature is, similarily, revealed at every level by some strangeness in the proportion in conformity of the parts to one another and to the whole."- Subrahmanyan Chandrasekhar

When I don't work, I spend time with my famiy. Click here to see them!