School of Mathematics

Over the past decades, much attention has been devoted to the detection of small inhomogeneities in materials or tissues, using non-invasive techniques, primarily electromagnetic wave-fields. The characterization of the signature of small inclusions...

https://www.ias.edu/math/files/seminars/FontaineAbst.pdf

(Introduction to the Lecture Series and and overview for those unable to attend the whole Lecture Series)

The cohomology of arithmetic groups (with real coefficients) is usually understood in terms of automorphic forms. Such methods, however, fail (at least naively) to capture information about torsion classes in integral cohomology. We discuss a...

The cohomology of arithmetic groups (with real coefficients) is usually understood in terms of automorphic forms. Such methods, however, fail (at least naively) to capture information about torsion classes in integral cohomology. We discuss a...

Locally decodable codes are error-correcting codes that admit efficient decoding algorithms, that can recover any bit of the original message by looking at only a small number of locations of a corrupted codeword. The tradeoff between the rate of...

The condition number of a matrix is at the heart of numerical linear algebra. In the 1940s von-Neumann and Goldstine, motivated by the problem of inverting, posed the following question:

(1) What is the condition number of a random matrix ?

During the...