Mathematics has an essential role to play at the EPFL because of the range of application of its ideas and methods, which is leading to an increasing use of mathematical models by scientists and engineers.

The mathematical fields of potential interest at EPFL are diverse, thus underlining the need to maintain strong research groups across the range of fundamental and applicable mathematics; the resulting interactions can stimulate fundamental and applied mathematical research, as well as being of direct benefit to other domains.

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How high is high dimensional?

What does high dimensional mean? How high is “high dimensional”? In this lecture I will give a rather personal view of how our ideas of high dimensionality have changed, with particular reference to recent developments in Quasi-Monte Carlo (QMC) methods for high-dimensional integration.

By: Prof. Ian H. Sloan (UNSW Australia - The University of New South Wales)