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"Martensitic Material", an experiment of Tomonari Inamura's group.

The mathematical design of new materials

3rd January 2019 to 28th June 2019

Many recent and spectacular advances in the world of materials are related to complex materials having extraordinary and unique features, usually determined by their specific microstructure. Such materials are key to much technology appearing in our daily lives: they are in liquid crystal displays, in miniaturised phones, special steels in cars, plastics and composites in the construction of modern airplanes, in biological implants in human bodies, and so on. However, despite the impressive technological applications of these materials, the theoretical understanding and modelling of them are still inadequate.The need for models and basic understanding is not just of theoretical interest, but indeed a  key requirement for being able to access and further develop the true potential of these materials, to optimise them, to combine them into new materials, and to use them for creating new devices, with predefined abilities and behaviours.

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Approximation, sampling and compression in data science

3rd January 2019 to 26th June 2019


Approximation theory is the study of simulating potentially extremely complicated functions, called target functions, with simpler, more easily computable functions called approximants.  The purpose of the simulation could be to approximate values of the target function with respect to a given norm, to estimate the integral of the target function, or to compute its minimum value. Approximation theory's relationship with computer science and engineering encourages solutions that are efficient with regards to computation time and space.  In addition, approximation theory problems may also deal with real-life restrictions on data, which can be incomplete, expensive, or noisy.  As a result, approximation theory often overlaps with sampling and compression problems.

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Coming Soon

July 2019   Current status and key questions in Landscape Decision making Workshop
July 2019   Challenges in Landscape Decision-making Workshop
July 2019   Geometry, compatibility and structure preservation in computational differential equations Programme
July 2019   Mathematical and statistical challenges in landscape decision making Programme
July 2019   Tutorial workshop Workshop
July 2019   Progress on novel mathematics and statistics for Landscape Decisions, including priorities for further research Workshop
August 2019   Next Generation Research and Modelling for Landscape Decisions Workshop
August 2019   Bringing pure and applied analysis together via the Wiener-Hopf technique, its generalisations and applications Programme
August 2019   Factorisation of matrix functions: New techniques and applications Workshop
September 2019   Complex analysis: techniques, applications and computations Programme
September 2019   4th Edwards Symposium - Emerging Trends in Soft Matter Satellite
September 2019   The complex analysis toolbox: new techniques and perspectives Workshop
September 2019   Structure preservation and general relativity Workshop
October 2019   The future of structure-preserving algorithms Satellite
October 2019   Artificial Intelligence Developments in Healthcare Imaging Workshop
October 2019   Complex analysis in mathematical physics and applications Workshop
November 2019   Cantab Capital Institute for the Mathematics of Information - Connecting with Industry Workshop
December 2019   Computational complex analysis Workshop

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The Newton Gateway to Mathematics acts as a knowledge intermediary for the mathematical sciences. It is the impact initiative of the Isaac Newton Institute for Mathematical Sciences (INI). 

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The Scientific Steering Committee meets twice each year to consider proposals.  Proposals to be considered at these meetings should be submitted by 31 January or 31 July respectively.

The present deadline for submission is 31 July 2019 for consideration at the meeting of the Scientific Steering Committee in October 2019

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I only wish I could have spent more time at the INI. It is a unique environment in which to think and write and exchange ideas.

Sunetra Gupta

Professor of Theoretical Epidemiology, Department of Zoology, University of Oxford

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    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons