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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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The mathematics of energy systems

3rd January 2019 to 3rd May 2019


The rapid advance of renewable generation brings fundamental interdisciplinary research challenges. On shorter timescales there are increasing problems of control and optimisation, while new questions of physical and economic design are emerging on the longer investment timescales. Network flows must be managed reliably under uncertain demands, uncertain supply, emerging network technologies and possible failures and, further, prices in related markets can be highly volatile. Drawn from mathematics, economics and engineering, the interdisciplinary participants in this programme will address a range of associated problems, including modelling, prediction, simulation, control, market and mechanism design and optimisation. Our aims are both to develop methodology which is urgent for the next several years and to sow the seeds of a lasting mathematical research agenda.

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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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Electricity systems of the future: incentives, regulation and analysis for efficient investment

18th March 2019 to 22nd March 2019

Workshop Theme:

Electricity systems of the future will be different from traditional electricity systems. New developments in electricity supply and distribution are driven by:

     (1)      the imperative to minimize carbon emissions,

     (2)      the development of efficient production technologies at small scale, and

     (3)      technological changes in instrumentation and communication.

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Coming Soon

March 2019   GFS follow on: Mathematics of form in active and inactive media Satellite
March 2019   Spring school on the mathematical design of materials Workshop
April 2019   Mean-field equations and their applications Satellite
April 2019   145th Mathematical European Study Group with Industry (ESGI) Satellite
April 2019   Second Leeds meeting on stochastic control and games under ambiguity Satellite
April 2019   Achieving Impact in Healthcare: From Mathematics to Clinical Support Systems and Devices Workshop
April 2019   Closing workshop: Looking forward to 2050 Workshop
May 2019   Managing Next Generation Energy Systems Workshop
May 2019   Optimal design of soft matter Workshop
May 2019   The fickle heart Programme
May 2019   Soft Matter Materials - Mathematical Design Innovations Workshop
May 2019   The Mathematics of Deep Learning and Data Science Workshop
May 2019   Big Proof Follow on Satellite
May 2019   Mathematics of data: structured representations for sensing, approximation and learning Satellite
June 2019   Industrial and Clinical Application of Cardiac Simulations: Quantifying Uncertainty in Model Predictions Workshop
June 2019   Uncertainty quantification for cardiac models Workshop
June 2019   New trends and challenges in the mathematics of optimal design Workshop
June 2019   Geometric and Topological Approaches to Data Analysis Workshop
June 2019   Approximation, sampling, and compression in high dimensional problems 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   Current status and key questions in Landscape Decision making Workshop
July 2019   Tutorial workshop Workshop
July 2019   Progress on novel mathematics and statistics for Landscape Decisions, including priorities for further research 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

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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