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Non-positive curvature group actions and cohomology

3rd January 2017 to 23rd June 2017

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The concept of curvature describes a fundamental spatial attribute and it has found a place at the core of science since its inception.

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Figure from Ken Baker's Sketches of Topology blog

Homology theories in low dimensional topology

9th January 2017 to 30th June 2017

The subject of homology theories in low-dimensional topology dates back to the work of Floer, and gained new breadth and vigour with the introduction of Khovanov homology fifteen years ago. Since then, these theories have had a far-reaching impact both in topology and more widely with analysts, algebraists, geometers, and physicists all contributing to and benefiting from their development.

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Operator algebras: subfactors and their applications

9th January 2017 to 23rd June 2017

The study of subfactors was initiated by Vaughan Jones in the early 1980's, in the theory of von Neumann algebras of operators on Hilbert spaces. Subfactor theory rapidly led to connections with link and 3-manifold invariants, quantum groups and exactly solvable models in statistical mechanics reinforcing the connections with physics. This programme focuses on these wide ranging applications as well as the underlying structure theory of operator algebras and subfactors.

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Stimulating the interchange of knowledge and ideas between academics from different disciplines and users of modern mathematics such as industry and policy makers, the Turing Gateway facilitates access to experts with highly specialist mathematical knowledge.

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The Institute now invites proposals for 1-, 4- and 6-month research programmes in any branch of the mathematical sciences.

The deadline for submission is 31 July 2017, for consideration at the meeting of the Scientific Steering Committee in October 2017.

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The Isaac Newton Institute is a singularity in the research landscape - scientists from the whole world meet and push the frontiers of science.

Stephanie Widder

Stefanie Widder, University of Vienna

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons