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There are numerous applications for mathematics across the space, Earth observation and security sectors. The Newton Gateway to Mathematics has strong links with industry stakeholders and researchers and is involved in a number of ongoing projects across these areas.

Upcoming Events

IMA Mathematics 2020 Series Online will take place in July. On 30th July, Professor Nigel Smart will talk about Privacy Enhancing Technologies. This links to Privacy Enhancing Technologies in Practice that will take place on Monday 30th November 2020.

Privacy Enhancing Technologies in Practice will take place in London on Monday 30th November 2020. Companies have been repeatedly told that data is one of their most valuable commodities, but realising the full value of that data may require re-mixing, comparison, or computation against data held by others.  Unfortunately, sharing data is one of the hardest things for companies to do, because of the perceived commercial and legal risks. Even within a single organisation, sharing data can be considered to create large security or privacy risks.

Developed with academic partners and in collaboration with the Digital Catapult, this workshop recognises the need to help business and industry find effective ways to utilise these new privacy enhancing technologies.Session 1 will feature talks from experts from companies developing these technologies.Session 2 will include end-user talks followed by a wrap-up and panel discussion.This event will be of interest to anyone in business and industry who has a need to share and/or process data securely, as well as those focused on corporate CyberSecurity.

Advances in 4D (data) Modelling for Large Scale Data Integration will take place in London on Thursday 7th January 2021. This workshop will feature two main sessions to include presentations on state-of-the–art research from experts in 4D ontology for large scale data integration and perspectives from end-users on challenges and applications. It is a joint collaboration between the Newton Gateway to Mathematics, GCHQ, UCL STEaPP, Southampton University, Warwick University and Brunel University.

A key aim is to highlight the latest research developments and present example use cases and promising new application areas of 4D integrated data modelling techniques.  Benefits of 4D are seen in complex situations where 4D analysis can help to clarify what is happening and hold appropriate data. The ‘system of systems’ example highlights this well, e.g. in the context of aviation, where an engine fuel pump is understood as: a thing in its own right, a component for the engine, it is also a component of the aeroplane within which the engine is installed.

This event aims to bring together various stakeholders (both research and end users) from multiple communities, who would be interested in pursuing these ideas and different approaches. It is hoped that this workshop can help connect people and build closer links and collaborations towards a more joined-up community. More information about the event and registration are on the webpage

Previous Activities

The Future of Distributed Ledger Technology took place on Wednesday 6th November 2019. Distributed Ledger Technology (DLT), and its numerous potential applications, has gained increased attention in recent years. The UK showed early interest in the technology and through strong research effort is now recognised as a global player.This workshop was a collaboration with GCHQ, the Digital Catapult and the Engineering and Physical Sciences Research Council (EPSRC). In recognition of the potential and possibilities of DLT as a technology for both Government and the UK as a whole, it aimed to support appropriate use cases and promote research into scalable DLT. It will also served to bring together stakeholders (researchers and end users) from multiple communities, to help connect people and build closer links and collaborations to strengthen the community.

Advances in Numerical Modelling​ - Applications of Geometric and Structure Preserving Methods took place on Tuesday 3rd December 2019. Geometric and structure preserving methods are a special class of numerical algorithms used to compute solutions to differential equations that preserve the underlying geometry and structure of the system. The key advantage of these methods is that they are not only computationally fast, but they also improve the accuracy of the computation since they are both quantitatively and qualitatively precise. This workshop showcased recent applications of geometric and structure preserving methods to models of real-world systems, as well as highlighted where advances in these types of numerical methods are most needed.

Industrial Applications of Complex Analysis took place on Wednesday 30th October 2019. It showcased the state of the art in complex analysis methods and highlight their current application in industrial settings, as well as where mathematical advances in this area are most needed. Complex analysis is a branch of mathematics that studies analytical properties of functions of complex variables. It lies on the intersection of several areas of mathematics, both pure and applied, and has important connections to asymptotic, harmonic and numerical analysis.

The programme for the day reflected the breadth of application areas where complex analysis methods are important and included talks representing both academic research and end-user perspectives from a range of different industrial areas. These also highlighted recent advances in complex analysis methods which have the potential to significantly improve a number of areas including understanding of aeroacoustics, medical imaging methods, tissue engineering approaches and fluid dynamics.

On Thursday 14th March 2019Quantum Computing in the Pharmaceutical Industry took place in collaboration with the Innovate UK Knowledge Transfer Network. The past two years have seen rapid advances in building scalable quantum computers. It is now widely expected that a device that cannot be simulated by any classical computer (so-called ‘quantum computational supremacy’) will emerge in 2019. The prospect of a relatively near-term device capable of a quantum advantage has sparked a huge amount of excitement in academia, industry and government funding.The workshop brought together experts in quantum computing, the pharmaceutical industry and (classical) computational methods to discuss if this is realistic and explore other potential applications in the pharmaceutical industry.

On Tuesday 27th November 2018Understanding Multi-Modal Data for Social and Human Behaviour took place in Cambridge. In an era of data deluge - sensors, cameras, computers and smart phones capture and store an unending torrent of data about human activity. The data is high-dimensional, sequential, complex, heterogeneous and multimodal in nature; but the sample size is woefully small in comparison.  Real benefits to many areas of modern society arise if one can analyse, model and predict different aspects of social and human behaviours.  Techniques, such as those offered by rough paths theory, increase the range of potential successes to include recognising human actions and understanding changing facial expressions.This workshop aimed to increase awareness of what is possible, whether it be better mitigation of risks, management of outcomes, or supporting individuals in their daily lives, across the spectrum of social and human behaviour.

Novel Computational Paradigms took place on Tuesday 30th October 2018 & Wednesday 31st October 2018 delivered by the TGM in partnership with GCHQ. Many of today’s interesting problems stem from the ability to generate and process large volumes of data, such as for instance, intelligent power grids and smart cities that form part of the Internet of Things. But the ability to work with all this data has to match the demand and if the speed of processing power is to continue to develop to meet such demands, new forms of computing need to be found; new algorithms need to be developed to make efficient use of these new forms of computation; and new mathematical challenges arise in the design and analysis of these new algorithms.

The workshop aimed to investigate potential next-generation advances in novel computational paradigms and bring together relevant stakeholders from across various UK research communities and industry. It is hoped that this activity will help to build closer links and collaborations and aid the establishment of a joined up multi-disciplinary UK community for this area.

On 6th December 2017, the TGM delivered Mathematics of Imaging and Vision as part of the INI Progarmme on Variational Methods and Effective Algorithms for Imaging and Vision. Imaging and vision is highly multidisciplinary – spanning mathematics, engineering, machine learning, computer vision and machine vision. There are numerous applications for this science in sectors such as medical imaging, security, geoscience, environment, food, manufacturing, agriculture, films, art and archeology.Talks from academics and end-users as well as discussions, explored the challenges as well as the new horizons in theory, models, techniques and applications of mathematical imaging and vision.  

On 19th July 2017, the TGM delivered a one day workshop Big Proof - Challenges in Industry and Research at the Alan Turing Institute in London. The aim of the workshop was to promote discussion around the area of big proof and formal verification, and the challenges from academic and industry perspectives. A key aspect of the workshop was to encourage links between academics and industry and allowed both parties to further understand the others’ needs. Therefore, as well as highlighting state-of-the-art mathematics for formal proof systems, talks also covered end user challenges and experiences. 

The TGM hosted a one day workshop New Directions in Cryptography and Applications to Cyber-Security on Wednesday 15th June 2016. This one day workshop aimed to engage with the UK Research community to discuss broad research directions in cryptographic technologies and the underlying mathematics that underpins them.

Supported by BAE Systems and working with Microsoft and the University of Cambridge, the TGM hosted a Challenges in Dynamic Imaging Data event in June 2015, which explored the processing and analysis of time-varying data. It highlighted various challenges, such as how to manage time varying aspects in order to understand and analyse dynamic image contents, detect objects, track and analyse their behaviours so that what is happening in a sequence of images can be better understood. Each of the three days featured a different industry challenge, with a security focus on day two. BAE Systems continue to work with key partners in industry and academia to actively address challenges which were identified in this workshop.

In the area of Cyber Security, the TGM worked with GCHQ to develop and broaden the Post-Quantum Research community in the UK. Activities have included two workshops - in May 2014 and September 2014. The programme of work also includes research and network building in order to stimulate future development of classical cryptographic security into schemes that are resistant to potential quantum computer attack in the future. A key aim is to develop more capacity in the UK research community and the TGM hopes to undertake further activities in this area in future.

The TGM has been a co-organiser for an initiative which saw the formation of a working group in the area of Optimisation for Space Engineering. This aims at providing space companies, universities, research institutes and organisations with a forum of excellence in the area of optimisation in space engineering. In partnership with the European Space Agency, Airbus Space and Defence and the Universities of Southampton, Birmingham, Bremen and Strathclyde. The TGM devloped and delivered three, 2-day events.

The 1st UK workshop on Optimisation in Space Engineering (OSE) was held on 5th & 6 th November 2013 in Birmingham with one of the outputs being the formation of a national working group. This event was jointly organised by the TGM, the European Space Agency (ESA) and the University of Southampton, and was hosted by the University of Birmingham. In this first meeting, participants shared their latest engineering problems and proposed solutions so as to promote the creation and exchange of ideas and the identification of new trends and required developments.

A 2nd OSE Workshop took forward outputs generated from the first workshop, such as identified challenges and issues. The event sought to address these through a series of talks, discussion and break-out group type activities. Feedback indicated the value of engagement between academia and industry, especially at an early stage of a problem formation. Additionally, a number of example space engineering optimisation problems were investigated and the solutions compared and contrasted to gain understanding of the efficiency of the various techniques.

A 3rd workshop on Optimisation in Space Engineering, took place on 17th - 18th September 2015 in Glasgow. Participants were invited to share their latest engineering problems and proposed solutions, so as to promote the creation and exchange of ideas and the identification of new trends and required developments. The event was attended by over 35 participants from the UK and also from across Europe.