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International Centre For Mathematical Sciences 2018

Lead Research Organisation: Heriot-Watt University
Department Name: S of Mathematical and Computer Sciences

Abstract

Researchers in the mathematical sciences need conversations, information and encouragement or competition from others to be most effective. International research is undertaken in an international context, and it is vital to be aware of the latest ideas and techniques. For the past 25 years the International Centre for Mathematical Sciences (ICMS) in Edinburgh has run focussed research workshops to meet this need. The topics for the workshops come from the research community itself, and proposals are assessed by peer review and an international Programme Committee. The main objective of this grant proposal is to fund each year for six years eighteen research workshops, associated knowledge exchange and public engagement activities and the administrative support necessary for successful meetings at ICMS. This provides researchers from all over the UK with the opportunity to meet together with a small group of international experts to make real progress in understanding a problem.
This funding will have two immediate impacts. First, it ensures a level of excellent activity at ICMS which makes it a prestigious venue for other research meetings. Thus the total activity at ICMS is significantly more than that funded by this grant. Indeed, over the last two years only 35% of participant days were funded by the current EPSRC grant. Thus the grant provides a critical contribution to the infrastructure of mathematical science research in the UK, providing an internationally recognised venue for high level research and ensuring that UK science is able to engage with its international counterparts. Second, the directly funded workshops themselves have impact. They showcase UK research and allow international researchers to develop new themes. Proposals are encouraged to have specific outcomes - ambitious goals for what might come out of the conversations and exchange of knowledge that arise during their programmes.
Six of the eighteen workshops each year will be 'strategic'. They will address new areas of the mathematical sciences, or new cross-disciplinary applications. Industrially focussed workshops also come under this heading, as do scoping meetings and workshops addressing UK science priorities signalled by the Research Councils. This provides a mechanism for the mathematical sciences research community to engage with these areas at an early stage. ICMS has a Knowledge Exchange Officer who ensures that all the workshops have opportunities to identify potential interest outside academia. Where such possibilities are identified ICMS arranges for special industrial sessions within the workshops and there is an extensive list of industrial contacts to help focus ideas.
The ICMS activity includes training for early career researchers, and we champion diversity at our meetings. Some of the dedicated Knowledge Exchange and Public Engagement meetings funded by the grant are training sessions to give ECRs an insight into how to engage outside academia. There are some 'ECR workshops' designed to give an early opportunity for researchers to develop as leaders in their field. The UK has a very poor record of gender balance in mathematical science researchers and ICMS strongly advises potential organisers on gender balance within their workshops and gives support for parents who need extra childcare because of attendance at ICMS events.
ICMS works with other institutes and organisations, most notably the Isaac Newton Institute in Cambridge, the learned societies of the mathematical sciences and the Research Councils, to ensure that the needs of UK mathematical sciences research are met efficiently and effectively effectively as recommended in a recent EPSRC Review. This proposal enhances the activity at ICMS and ensures the continued vitality of research in the UK.

Planned Impact

ICMS works with companies from the public and private sector to maximise the impact of the research. Recent participants include Toshiba, Siemens, National Grid, Thales, Dstl, Dyson, Public Health England, Mastercard, Rolls Royce, Zurich Insurance, NPL, Schlumberger, Microsoft, and Vodafone. We liaise closely with the Isaac Newton Institute and the Turing Gateway to Mathematics in Cambridge to ensure that activities are not duplicated and to deliver an efficient service to the mathematical science community and to end users of mathematics. ICMS employs a Knowledge Exchange Officer (KEO, 0.6FTE charged to this proposal) to provide advice and contacts for organisers of workshops. From 2018 we will be co-located in a new building with the Scottish Financial Risk Academy and informatics innovation centres such as Data Lab which will facilitate a new set of partnerships.
There are six principal types of benefit these companies can derive from their interactions with ICMS.
Direct engagement with the emerging mathematical science that underpins developments in their industry. Some of our workshops focus on the methodology behind important uses (e.g. New mathematics for a safer world: wave propagation in heterogeneous materials 2017), and participation at these workshops helps users scope future mathematical science influence on their practice.
Direct engagement with problems suggested by the industrial partner occurs at events such as the Modelling Camps. These also train early career researchers through the experience of working on industrial problems.
Community building though workshops with direct industrial focus. These workshops focus on directly relevant problems and include talks on current practice from industrial participants and potential developments from the mathematical scientists. As well as knowledge transfer, such meetings can create lasting connections between academics and users. These are fostered by the KEO after the meeting (e.g. Mathematics of Measurement, 2017).
Research Partnerships with Industry, which provide time and space for small groups of academics and industrial partners to work on a proof of concept or final report. These are designed to facilitate interactions between academics and non-academic partners to strengthen the outputs and maximise the impact of their interaction.
Knowledge transfer, which is embedded in our workshop programme planning. Workshop organisers work with the KEO to identify areas of broader industrial application and speakers with the industrial experience so that participants attend special industrial sessions to learn about application problems in particular areas (e.g. Trapped waves and wave radiation in fluid mechanics 2016).
Scoping sessions to feed in to larger UK initiatives to engage mathematical sciences with industrially relevant problems (e.g. Improving the data analytics process 2015, which was sponsored by the ATI).
Due to the broad scope of the workshops, companies from any industry could become involved with ICMS. This is reflected in the different industries represented by the companies mentioned above. To manage this breadth the services of the KEO are vital, and our practice echoes the Research Councils UK policy document Impact through knowledge exchange (http://www.rcuk.ac.uk/documents/innovation/keposition-pdf/) to ensure that we have maximum impact and maximum flexibility in engagement outside academia. There are two forms of dedicated KE meetings in the proposal (beyond the KE activity through the research programmes). The KE Community meetings ensure that the UK Knowledge Exchange community works together to provide the most effective and efficient mechanisms to engage with end users of the mathematical sciences. The industry/academia meetings will build on ideas in workshops to create further meetings to assess the potential of collaborations and provide avenues to develop ideas directly relevant to end users.

Publications

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Carlson M (2022) A note on abelian arithmetic BF-theory in Bulletin of the London Mathematical Society

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Chung H (2024) Entanglement entropies in the abelian arithmetic Chern-Simons theory in Communications in Number Theory and Physics

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He Y (2022) Learning algebraic structures: Preliminary investigations in International Journal of Data Science in the Mathematical Sciences

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Cheong SW (2022) Linking emergent phenomena and broken symmetries through one-dimensional objects and their dot/cross products. in Reports on progress in physics. Physical Society (Great Britain)

 
Title New Composition by Composer in Residence 
Description The composer-in-residence, Julien Lonchamp, spent one year from October 2022 to October 2023 creating a new work based on the mathematics of waves at several scales of resolution. 
Type Of Art Performance (Music, Dance, Drama, etc) 
Year Produced 2023 
Impact There was a public performance in October 2023 and a video recording is currently under preparation. 
 
Description ICMS stimulates and promotes the mathematical sciences through diverse international workshops & conferences. Our vibrant events programme attracts leading mathematical scientists from the UK and internationally - connecting mathematical communities across the world. As a response to COVID, we organised and hosted virtual events, alongside in-person ones.

In addition to workshops, ICMS manages a number of other mathematical activities, such as our very popular Research-in-Groups programme; an extensive knowledge exchange programme; public engagement; and by giving administrative support to a number of mathematical groups.



Our Principal Aims are:

To advance the mathematical sciences by fostering collaborations between researchers and disseminating their discoveries
To stimulate the impact of mathematical innovation on the world, promoting interactions with other disciplines, industry and commerce;
To contribute to the future of the mathematical sciences through the training and support for the next generation of mathematicians;
To promote an appreciation of the value, beauty and ubiquity of the mathematical sciences;
To build and connect international research communities, encouraging their diversity and dynamism.

Since the award of this grant, the ICMS has been supremely successful in this objective, hosting numerous workshop in all areas of mathematics, online seminar, knowledge exchange activity, and public engagement events. We are currently tracking the difference we are making in the work of participants and will have more detail to report at the commencement of the next funding cycle.
Exploitation Route The exchange of ideas taking place at the ICMS feed into the research of essentially all participants. A majority of the lectures are also recorded and form a rich repository of knowledge at the cutting edge of all areas of research in the mathematical sciences.
Sectors Digital/Communication/Information Technologies (including Software)

Education

Energy

Environment

Financial Services

and Management Consultancy

Manufacturing

including Industrial Biotechology

URL https://www.icms.org.uk/workshops
 
Description The workshops hosted by the ICMS span the entire range of the mathematical sciences, which in turn impact all sectors of society having to do with finance, economy and technology. Specifically, there have been numerous knowledge exchange activities including the Virtual Forum for Knowledge Exchange in he Mathematical Sciences, modelling camps, and study groups with industry.
First Year Of Impact 2019
Sector Digital/Communication/Information Technologies (including Software),Education,Energy,Environment,Financial Services, and Management Consultancy,Manufacturing, including Industrial Biotechology
Impact Types Cultural

Economic

 
Description Article for Geneva Science and Diplomacy Anticipator Radar
Geographic Reach Multiple continents/international 
Policy Influence Type Influenced training of practitioners or researchers
URL https://radar.gesda.global/mathematics-for-humanity
 
Description DEI in mathematics research and education
Geographic Reach National 
Policy Influence Type Influenced training of practitioners or researchers
Impact Feedback from our DEI events have been uniformly positive with many people remarking a significant increase in their motivation to continue working in the mathematical sciences.
 
Description International Secretary, London Mathematical Society
Geographic Reach Multiple continents/international 
Policy Influence Type Participation in a guidance/advisory committee
Impact The International Secretary of the LMS is in charge of all international relations and educational/research collaborations between the UK and other regions.
 
Description Member of Assessment Committee, Dutch Research Council
Geographic Reach National 
Policy Influence Type Contribution to a national consultation/review
Impact The XL programme in the Netherlands is the highest level research grant int he basic sciences. Participation in this committee is critical for the health of scientific research in the Netherlands.
 
Description Member of Selection and Evaluation Committee of the Institute for Basic Sciences, Korea
Geographic Reach Asia 
Policy Influence Type Participation in a guidance/advisory committee
 
Description Membership in various prize committees
Geographic Reach Multiple continents/international 
Policy Influence Type Participation in a guidance/advisory committee
Impact These prizes are all for the highest level of distinction: Hirst Prize (history of mathematics), Zeeman prize (communication of mathematics), Ho-Am prize, research in science. They are all expected to have high impact on higher education and research.
 
Description Membership of Council, London Mathematical Society
Geographic Reach National 
Policy Influence Type Participation in a guidance/advisory committee
Impact The Council makes numerous decisions that affect the research and education of mathematical scientists and students in the UK.
 
Description Selection Panel, Leonard Eisenbud prize in mathematics and physics, American Mathematical Society
Geographic Reach Multiple continents/international 
Policy Influence Type Participation in a guidance/advisory committee
Impact This is the main prize that the AMS awards for research in mathematical physics, and hence has great impact.
 
Description Selection Panel, Royal Society Dorothy Hodgkin Fellowship
Geographic Reach National 
Policy Influence Type Participation in a guidance/advisory committee
Impact This fellowship is critical in the training and improvement of early-career researchers in the sciences in the UK.
 
Description Additional Funding for Mathematical Sciences : International Centre for Mathematical Sciences
Amount £5,050,000 (GBP)
Funding ID EP/V521905/1 
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start 09/2020 
End 03/2025
 
Description International Centre for Mathematical Sciences 2024
Amount £3,752,372 (GBP)
Funding ID EP/Z000467/1 
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start 03/2024 
End 03/2029
 
Description Collaboration on joint events 
Organisation Pacific Institute for the Mathematical Sciences
Country Canada 
Sector Public 
PI Contribution Organisational collaboration on joint events for sustainability. MOU signed.
Collaborator Contribution Organisational collaboration on joint events for sustainability. MOU signed.
Impact Joint twinned lecture on mathematics of the climate crisis.
Start Year 2023
 
Description Collaboration on joint events 
Organisation University of Sydney
Country Australia 
Sector Academic/University 
PI Contribution Collaboration on joint events.
Collaborator Contribution Collaboration on joint events.
Impact No outcome yet. We will have joint events with the Sydney Mathematical Research Institute.
Start Year 2022
 
Description Collaboration with Isaac Newton Institute 
Organisation Isaac Newton Institute for Mathematical Sciences
Country United Kingdom 
Sector Academic/University 
PI Contribution The ICMS collaborates continuously with the Isaac Newton Institute on governance and policy, for example, by the two directors sitting on the scientific committee of the other institution.
Collaborator Contribution The ICMS collaborates continuously with the Isaac Newton Institute on governance and policy, for example, by the two directors sitting on the scientific committee of the other institution.
Impact The ICMS and INI influence each other's scientific programme and coordinate programmes for maximal impact.
Start Year 2018
 
Description Collaboration with Vietnam Institute for Advanced Study in Mathematics 
Organisation Vietnam Institute for Advanced Study in Mathematics
Country Viet Nam 
Sector Academic/University 
PI Contribution ICMS and VIASM coordinate programmes, especially those involving exchange between Europe and South-East Asia.
Collaborator Contribution ICMS and VIASM coordinate programmes, especially those involving exchange between Europe and South-East Asia.
Impact The two institutions are in constant communication about events happening in SE Asia with ICMS support, such at the Retreat for Woman in Applied Mathematics that will happen in September 2025.
Start Year 2021
 
Description Collaboration with condensed matter physics 
Organisation Rutgers University
Country United States 
Sector Academic/University 
PI Contribution In collaboration with the team of Sangwook Cheong at Rutgers University , I have applied finite group theory and topology to study the symmetries of condensed matter system.
Collaborator Contribution They provided te experimental data that led to explanation of coupled systems via group theory.
Impact Two publications
Start Year 2021
 
Description Collaboration with condensed matter physics 2 
Organisation Harvard University
Country United States 
Sector Academic/University 
PI Contribution IN collaboration with the team of Philip Kim of Harvard University, I applied algebraic topology to the explanation of singularities and dislocations in two-dimensional systems.
Collaborator Contribution They provided the experimental data from Moire lattices.
Impact Publication
Start Year 2021
 
Description A Corrugation Odyssey 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact A method for turning a sphere inside out by means of smooth but special corrugations that avoid ripping or tearing and have recently found surprising and unexpected applications in the exploration of intricate solutions to differential equations. The Public Lecture will employ computer generated visualisations to help explain these and related developments, and to convey the excitement they have caused. The aim also is to confirm the perceptive remark by geometer and topologist, William Thurston who said:

"The real satisfaction from mathematics is in learning from others and sharing with others"
Year(s) Of Engagement Activity 2021
URL https://www.icms.org.uk/events/2021/vincent-borrelli-2021-corrugation-odyssey-public-lecture
 
Description Chris Budd: Computing: past, present and future 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact Computers dominate our lives, and we have seen an explosive growth of computer technology since the 1960s. However, computers have been around for a long time. In this talk I started by looking at the history of computing devices, from slide rules and Babbage to their use in code breaking in WW2. I then looked at all aspects of modern computing from communication and the Internet, to the simulation of physical processes as varied as the evolution of the universe to predicting the weather.

Finally I looked at where computing is heading, from the huge and recent increase in the use of machine learning and artificial intelligence, to the future possibilities of quantum computing.
Year(s) Of Engagement Activity 2022
URL https://www.icms.org.uk/events/2022/chris-budd-computing-past-present-and-future-public-lecture
 
Description Christmas Lecture: Leonardo da Vinci and the mathematics of the human body 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Public/other audiences
Results and Impact No-one - not even Galileo - was more insistent than Leonardo da Vinci in proclaiming the rule of mathematics in every aspect of nature. He introduced mathematics into areas of practice in which maths had previously been absent. This includes engineering and the science of the human body as a divine machine. We will see how Leonardo aspired to create a mathematical and experimental basis for anatomy in a way that was very different from Renaissance medicine. Indeed, his anatomical studies really do not belong in contemporary medical practice at all. His anatomical researches are best characterised as a philosophical science.

His first major set of anatomical studies involve the representation and sectioning of a human skull in 1489. They show him to not only to be a supremely naturalistic draughtsman but also demonstrate his quest to probe the secrets of the skull in relation to the geometrical locations of key mental functions.

In this talk, we looked at Leonardo's science of seeing in his anatomy and in his science of optics. Later in his work as an anatomist he undertook details studies of the brain and reformulated earlier rules on optics in such a way that seeing became a more complicated quest, involving mathematical uncertainty. Not least, we saw how his optics is related to his paintings.

Around 1510, he undertook sustained explorations of the mechanics of the skeleton and muscles, looking at the law of levers as applicable to human motion across space, which he referred to as a quantità continua. This was demonstrated through animations of Leonardo's drawings.

When he turned his attention to the heart, he brought his researches on the mathematics of vortices into his understanding of the action of the heart, in particular the valves. We explored his intention to make a model of the neck of an aorta to confirm his analyses of the flow of blood from the heart and through the valve. We finished with an animation of turbulent motion in water and blood.

About the speaker:

Martin Kemp was trained in Natural Sciences and Art History at Cambridge University and the Courtauld Institute, London. His books include, The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat (Yale), and The Human Animal in Western Art and Science (Chicago). He has published and broadcast extensively on Leonardo da Vinci, including the prize-winning Leonardo da Vinci: The marvellous works of nature and man, and Leonardo (both Oxford). His Christ to Coke: How image becomes icon (Oxford) looks at 11 representatives of types of icons across a wide range of public imagery. He wrote regularly for Nature, his essays for which have been published as Visualizations and developed in Seen and Unseen (both Oxford) in which his concept of "structural intuitions" is explored. More recently he has published Art in History (Profile Books) and Structural Intuitions: Seeing Shapes in Art and Science (Virginia). New books are Heavenly Visions: Dante and the Art of Divine Light, and Hockney's Eye, a volume of essays for the 2022 exhibition in Cambridge

He has been a Trustee of the National Galleries of Scotland, The Victoria and Albert Museum and British Museum. He has curated and co-curated a series of exhibitions on Leonardo and other themes, including Spectacular Bodies at the Hayward Gallery in London, Leonardo da Vinci: Experience, Experiment, Design at the Victoria and Albert Museum in 2006 and Seduced: Sex and Art from Antiquity to Now, Barbican Art Gallery London, 2007. He is now full-time speaking, writing and broadcasting.
Year(s) Of Engagement Activity 2022
URL https://www.icms.org.uk/events/2022/christmas-lecture-leonardo-da-vinci-and-mathematics-human-body
 
Description From Football to Infinity, How Alphabets and Shapes Impact Research 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact This public talk was part of the Diverse Voices of Maths series, to highlight the diversity of maths and mathematicians.

About the talk:

How geometry relates to algebra might seem difficult to picture, but this is not always the case. Using things like footballs, dictionaries, and infinity symbols, this talk tackled some current research in this area, and showed how the two areas do in fact relate!

About the speaker: Angela Tabiri (she/her) is a mathematics lecturer based in Ghana. She founded an NGO called Femafricamaths which aims to inspire girls to study mathematics. She is passionate about the study of maths and how it can open doors for women and girls.
Year(s) Of Engagement Activity 2022
URL https://www.icms.org.uk/events/2022/public-talk-football-infinity-how-alphabets-and-shapes-impact-re...
 
Description Hannah Fry: What numbers can (and can't) tell us about ourselves - Public Lecture 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Public/other audiences
Results and Impact It's often easy to become blinded by the power of data and believe that, with enough information, human behaviour is predictable. And in many ways, it is - there are no shortage of terrific stories where numbers have unlocked the answers to our biggest questions. But numbers can also lead us perilously astray.

In this Public Lecture, Prof Hannah Fry explores the lessons that science has learned about what parts of our future are truly forecastable and what happens when things go wrong. We'll have a look at the awesome power and potential of data, and find its limitations.

Hannah Fry is an Associate Professor in the Mathematics of Cities at the Centre for Advanced Spatial Analysis at University College London. She is also an experienced public speaker, award winning science presenter, and best-selling author, known for her joyful ability to bring maths to life for audiences of all interests and abilities.
Year(s) Of Engagement Activity 2021
URL https://www.icms.org.uk/events/2021/hannah-fry-what-numbers-can-and-cant-tell-us-about-ourselves-pub...
 
Description Heat pumps or hydrogen? 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact The 19th century science of thermodynamics was developed largely to design the heat engines which drove the industrial revolution: machines which burn fossil fuels to generate heat and turn it into useful work. Sustainable 21st century technologies for moving, keeping warm and making things rely on the same science of thermodynamics. In this talk we look at the role played by the laws of thermodynamics in sustainable energy technology. We apply the insights of the great Scottish engineers and physicists Watt, Kelvin and Maxwell to heat pumps and hydrogen technologies. Since a heat pump is essentially a heat engine run backwards we literally need to reverse parts of the industrial revolution to reach net-zero!
Year(s) Of Engagement Activity 2021
URL https://www.icms.org.uk/events/2021/bernd-schroers-heat-pumps-or-hydrogen-public-lecture
 
Description ICMS Christmas Lectures 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Public/other audiences
Results and Impact This is a new lecture series that investigates the interaction between mathematics and other domains of inquiry especially the arts, natural sciences, and history.
Year(s) Of Engagement Activity 2022,2023,2024
URL https://www.icms.org.uk/events/2022/christmas-lecture-leonardo-da-vinci-and-mathematics-human-body
 
Description Kit Yates: The Maths of Life and Death - Public Lecture 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact During September 2021, ICMS Edinburgh hosted an Early Career Workshop - Modelling Diffusive Systems: Theory & Biological Applications. This Public Lecture was part of the workshop.

Kit Yates will look at some of the basic models and mathematics underlying the understanding of disease spread, and pick apart the meanings behind some of the terms we hear about in the news: from exponential growth and R to critical immunisation threshold and herd immunity.
Kit Yates is a Senior Lecturer in the Department of Mathematical Sciences and co-director of the Centre for Mathematical Biology at the University of Bath. He completed his PhD in Mathematics at the University of Oxford in 2011.
Year(s) Of Engagement Activity 2021
URL https://www.icms.org.uk/events/2021/kit-yates-maths-life-and-death-public-lecture
 
Description Mary Somerville Lectures 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact This is a new lecture series that investigates the interaction between mathematics and other domains of inquiry.
Year(s) Of Engagement Activity 2022,2023,2024
URL https://www.icms.org.uk/events/2022/public-talk-why-we-must-rewrite-history-numbers-mary-somerville-...
 
Description Maths Week Scotland: ICMS School Workshop Competition 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Schools
Results and Impact The ICMS sponsored a puzzle for Scottish schools as part of Maths Week Scotland. The winning schools were awarded a visit and presentation by maths communicators Katie Steckles and Ben Sparks.
Year(s) Of Engagement Activity 2021
URL https://www.icms.org.uk/events/2021/maths-week-scotland-icms-school-workshop-competition
 
Description Mysteries of fundamental physics 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact This talk was the first of the Leverhulme Lectures, for the Leverhulme Visiting Professorship scheme.

In this century, progress in fundamental physics has been slow. The Large Hadron Collider hasn't yet found any surprises, attempts to directly detect dark matter have been unsuccessful, string theory hasn't made any successful predictions, and nobody really knows what to do about any of this. But there is no shortage of problems, and clues. After a quick review of our best theories of physics so far - general relativity and the Standard Model - Baez listed some of the main open problems.

The Speaker: John Baez (he/him)
Year(s) Of Engagement Activity 2022
URL https://www.icms.org.uk/events/2022/public-talk-mysteries-fundamental-physics
 
Description Public Lecture at the Congress of the Pacific Rim Mathematical Association 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Minhyong Kim gave a public lecture at this international event which happens once very four years.
Year(s) Of Engagement Activity 2022
URL https://www.pims.math.ca/scientific-event/221206-pplmk
 
Description Public Lectures and other Engagement activities in the Mathematical Sciences 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact ICMS ran 7 public lectures in 2021, on topics ranging from heat pumps to cosmology. These were mostly delivered purely online, but some were delivered both face-to-face and online. The lectures were followed by lively debates, often lasting longer than the lecture itself. ICMS also hosted a town hall meeting for the UK mathematical community to discuss the creation of a National Academy of Mathematical Sciences, and it hosted a short conference entitled `Black Heroes of Mathematics' to celebrate the inspirational contributions of black role models to the field of Mathematics and Mathematics Education. During Maths Week Scotland 2021, science communicators, Katie Steckles and Ben Sparks virtually joined secondary schools across the country for bespoke workshops run by the ICMS.
Year(s) Of Engagement Activity 2021
URL https://www.icms.org.uk/events/2021
 
Description Public engagement activities in the mathematical sciences. 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact As part of their activity in Edinburgh, many of our 15-20 workshops every year have associated Public Lectures. These are each attended by 80-100 people and make it possible for people in Edinburgh to appreciate achievements of modern mathematics. We also run ad hoc ICMS series, for example to mark our move into the new building. Every year ICMS supports Maths Week Scotland, and we have sponsored events at the Edinburgh International Science Festival. The current grant included an element of PE training, which had been intended to be part of the BAMC/BMC meeting in Glasgow 2020 and had to be postponed. ICMS are talking with Glasgow about an alternative online event. In 2018 and 2019 we partnered with INI/UK Maths Trust/IMA/KTN/OR Society to have a presence at New Scientist Live. For 2020 we had planned a public communication training event (PCTF) at the Bayes Centre, to be delivered by Katie Steckles and Ben Sparks. Participants were to be given the opportunity to practise skills at Maths Week Scotland, New Scientist Live and similar. We held this event online in September 2020.
Year(s) Of Engagement Activity 2018,2019,2020
 
Description Quantum Universe - 2021 ICMS Christmas Public Lecture 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact Ever since Galileo, observations of the physical world have confirmed the remarkable power of mathematical reasoning. In recent times, the range of our understanding has expanded to the largest cosmological scales and to tiny, subatomic scales. In both regimes, we find a surprising simplicity and economy in nature's laws. The observations provide clues to the solution of major puzzles: how are quantum theory and gravity reconciled? what happened at the big bang? what fixed time's arrow? what are the dark matter and dark energy? is there a complete mathematical theory of the universe?
Year(s) Of Engagement Activity 2020,2021
URL https://www.icms.org.uk/events/2021/neil-turok-quantum-universe-2021-icms-christmas-public-lecture
 
Description Tanniemola Liverpool: The Mathematics of Active Matter 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact A flock of birds, a shoal of fish, a swarm of robots, a colony of swimming bacteria...these are all examples of systems, composed of interacting units, that consume energy and collectively generate motion and mechanical forces on their environment. In recent years we have come to call such systems - which don't obey the laws of "normal" matter - active matter. Active matter shows a rich variety of collective behaviour, much of which remains mysterious.

In this Public Lecture, Tanniemola Liverpool will explain why we call these systems active matter, and will describe how statistical mechanics can help us to characterise them. He will then discuss some examples of experimental work studying active matter behaviour.
Year(s) Of Engagement Activity 2021
URL https://www.icms.org.uk/events/2021/tanniemola-liverpool-mathematics-active-matter-public-lecture
 
Description Why Not Maths? An LMS Girls in Maths Day 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Schools
Results and Impact An inspiring and exciting day of activity designed to encourage S4-S5 girls to pursue mathematics at university level and beyond. Through a varied programme of popular maths lectures, problem solving and group activities this event will show girls the benefits, beauty and joy of mathematics.
Using a range of engaging activities the girls will be introduced to the beauty of university mathematics, and shown some of the exciting applications of mathematics. In discussions with each other, the speakers and role models participants will be able to explore the many opportunities that come with a degree in the mathematical sciences.
Year(s) Of Engagement Activity 2018
URL https://www.icms.org.uk/events/2018/why-not-maths-lms-girls-maths-day