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Matter can arrange itself in ingenious ways; in addition to the solid, liquid and gas phases that are familiar in classical physics, electronic phases of matter -– some of them exotic and some useful ...
The National Science Foundation's (NSF) Directorate for Mathematical and Physical Sciences (MPS) invites media and members of the public to a series of lectures intended to promote discussion of issue...
Carl Friedrich Gauss is one of the greatest mathematicians in history, and his work has profoundly influenced all subjects of mathematics, especially in number theory, analysis, differential geometry ...
The National Science Foundation's (NSF) Directorate for Mathematical and Physical Sciences invites media and members of the public to a series of lectures that will help promote a national discussion ...
An important problem in smooth ergodic theory is to understand an appearance of chaotic behavior in systems governed by deterministic laws. Now it is understood that chaotic behavior is caused by th...
The National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences invites media and members of the public to a series of lectures that will help promote a national discussion of...
The National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences invites media and members of the public to a series of lectures that will help promote a national discussion of...
This account, part historical and part original, is based on a series of lectures of Graham Higman on januarials, namely coset graphs for actions of triangle groups which become 2-face maps when embed...
An analog of the spectral analysis of time series is developed for data in general spaces. This is applied to data from an election in which 5738 people rank ordered five candidates. Group theoret...
These three lectures present some fundamental and classical aspects of microlocal analysis. Starting with the Sato's microlocalization functor and the microsupport of sheaves, we then construct a micr...
These lectures on supersymmetry and extra dimensions are aimed at finishing undergraduate and beginning postgraduate students with a background in quantum field theory and group theory. Basic knowledg...
Lectures on the construction on the moduli space of principal bundles, given in the Mini-School on Moduli Spaces at the Banach center (Warsaw) 26-30 April 2005.
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incom...
This is a write-up of the lectures given by the author during the Master Class "Categorification" at {\AA}rhus University, Denmark in October 2010.
In this series of lectures we introduce the Monge-Kantorovich problem of optimally transporting one distribution of mass onto another, where optimality is measured against a cost function c(x,y). Con...

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