Maths: Contribution to the UK

Ian Sollom Excerpts

Thursday 5th June 2025 Westminster Hall

[Ian Sollom (St Neots and Mid Cambridgeshire) (LD)]

I beg to move,

That this House has considered the contribution of maths to the UK.

It is a pleasure, as always, to serve under you in the Chair, Mr Vickers. I thank the Backbench Business Committee for granting time for this debate, the Members who put their names to the application and those present today. I look forward to hearing their contributions.

A mathematician often begins with a conjecture—a statement that they believe to be true, a theory that is perhaps well informed by evidence but has yet to be widely accepted, thoroughly proven and fully implemented. If I had a blackboard, this is the theory that I would write up: that a thriving maths ecosystem is fundamental to the Government’s growth ambitions.

I have a deep affection for mathematics, and that may have led me to prepare rather more material than is customary for a Westminster Hall debate, but given the numbers in attendance I hope that Members will indulge me. There is something profoundly satisfying—to me, at least—about how mathematical problems yield to patient reasoning and how seemingly unrelated concepts can connect in unexpected ways. While my days of wrestling with differential equations are largely behind me, the habits of mind that mathematics taught me—breaking down complex problems, testing assumptions and seeking elegant solutions—remain with me in every aspect of my work, including in Parliament.

There is compelling evidence for my opening conjecture. In 2023, mathematical sciences contributed £495 billion to our economy: that is 20% of the UK’s total gross value added. To put that in context, mathematical sciences contribute more to our economy than the entire manufacturing sector. That figure is almost certainly an underestimate, as it does not capture the many downstream benefits of mathematics. The algorithms and encryption that empower and enable safe access to the internet, which are so fundamental to nearly every business across the country, are all built from mathematical foundations.

The impact is accelerating. According to research from the Campaign for Mathematical Sciences, between 2019 and 2023 there was a 6.2% increase in the proportion of jobs requiring undergraduate-level mathematics skills across all sectors, and 94% of employers anticipate placing at least as much emphasis on these skills, if not more, when hiring in the next couple of years. Whether it is the artificial intelligence revolution that will have an impact on healthcare, the quantum computing that will transform cybersecurity or the climate models guiding our path to net zero, mathematics is not just contributing to our present economy—it is building our future.

There is every reason to be optimistic about the next generation. Mathematics remains the most popular A-level subject, with over 100,000 students choosing it last year. That is more than ever before. Those young people clearly see mathematics as part of the future, and rightly so.

Britain has always been a mathematical powerhouse. We may be small by population on the global stage, but we are mighty—particularly in our research activity. The UK is home to 4% of the world’s mathematical sciences researchers, but their output represents 14% of highly cited articles. We are a global centre of excellence for mathematical sciences research, with top-ranked universities and research institutes, and some of the fastest-growing tech companies. In fact, according to the global innovation index, the UK is home to the world’s No. 1 science and technology cluster by intensity, in relation to its size: Cambridge. It is a privilege to represent part of that cluster.

From Newton’s laws to Turing’s machines, from Bayes’s theorem—a personal favourite to mine—to Hawking’s insights into black holes, which are possibly a personal favourite of the Chancellor’s, British mathematicians have repeatedly changed how we understand and interact with our world. Today, that tradition continues. Our cryptographers protect national security: GCHQ remains one of the UK’s largest recruiters of pure mathematicians. Our financial modellers help manage trillions in global assets, and our data scientists are revolutionising everything from drug discovery to climate science.

However, despite that remarkable heritage and current strength, we risk undermining our mathematical future through policies that, I accept, reflect difficult choices but seem to work against our mathematical advantages on the global stage. In their plan for change, the Government promised growth. They promised to raise living standards, revive our NHS, drive research and innovation, and deliver economic stability. Yet if mathematics underlies so much of the innovation that will be key to delivering those aims, some of the recent policy decisions represent what Marcus du Sautoy, Simonyi professor for the public understanding of science at the University of Oxford, has called a “national miscalculation”.

The cuts to the advanced mathematics support programme, universities across the country shrinking and closing mathematics departments, the cancellation of the exascale supercomputer in Edinburgh and real-terms cuts to the UK Research and Innovation budget for 2025-26 are just some of the concerning decisions. I acknowledge that they span multiple Governments, but cumulatively they risk creating a mathematical recession just when the global economy is becoming increasingly mathematical.

My asks for our mathematical future break down into three strands: research funding, higher education and mathematics in schools. The Government have ambitious and admirable aims, but real growth is simply not possible without an adequate pipeline of mathematicians and advanced mathematical skills. Continuing to attract the extremely productive researchers who bring so much economic benefit and soft power to our country should be a national priority. To that end, in 2020 the previous Government announced a welcome additional £300 million in Engineering and Physical Sciences Research Council funding for the mathematical sciences to be deployed over five years, but only about 40% of that total was ultimately allocated.

At a glance, to the casual observer, it may not be obvious what £300 million of funding for PhD and postdoctoral study in such seemingly abstract disciplines as geometry, topology, algebra, combinatorics and number theory might mean for our country, but the impact of those studies is often much more long-term than successive Governments seem to realise. Once-abstract domains often become integral to new technologies in ways that have not been predicted. To name just one crucial example, computer scientists are increasingly looking to pure mathematicians to help them understand their own machine learning models.

Despite the Government’s determination that AI is vital to turbocharge every mission in its plan for change, from driving down NHS waiting lists to speeding up cancer diagnoses and saving time across the civil service, there appears to be a disconnect between that ambition and the long-term investment needed in the mathematical sciences to achieve those goals. The number of UK centres for doctoral training in the mathematical sciences has fallen from 11 to five, and the latest allocation of UKRI funding represents a real-terms funding cut, which will constrain the UK’s research output. Rather than continuing to pull the rug from under those who are constructing the backbone of our future technologies, would the Government consider exploring a new funding settlement that better reflects the value of the mathematical sciences and what they bring to the UK? Investment in mathematical sciences to fuel the UK’s growth needs to be far longer term than simply increasing postgraduate research funding contracts in the near term. That leads me to the second strand that I want to pick up: higher and post-16 education.

Ensuring the best possible mathematics education for students post 16 is crucial to strengthening the wider graduate pipeline. Boosting progression to mathematics degrees should be a key part of the Government’s growth strategy, I would suggest. With a sharp drop in UK mathematics undergraduate entrants expected over the next 10 years, from just under 7,100 to just over 5,600 by 2035—that is the forecast difference between 2030 and 2035—we seem to face a crisis in the mathematical pipeline, and that trend particularly affects mid and lower tariff institutions, where it is over three times more likely that students will go on to become teachers post-graduation.

When universities close maths departments, we do not just lose degree places; we lose the next generation of mathematics teachers. Specialist post-16 institutions, such as the Cambridge maths school, which serves many young people in my constituency, are fighting to increase access to science, technology, engineering and maths degrees. They recognise that investment in STEM education is vital to the UK’s future workforce. Through nurturing ambition, particularly among students from disadvantaged or underrepresented backgrounds, they are seeing impressive results, and I would like to share some of those: students with special educational needs and disabilities at the school represent double the national proportion of A-level further mathematics students; 8% of students have an autism spectrum disorder diagnosis compared with around 1% nationally, and those students are predicted to achieve an average grade of A*; and 46% of current year 12 students are female, which is remarkable given the national underrepresentation of women in advanced mathematics.

It is through not just excellent teaching that these young people are excelling, but targeted initiatives for inclusion. Cambridge maths school runs an access and application support programme that funds travel bursaries, test preparation support and interview coaching to remove barriers for disadvantaged students from across the east of England, but that support is precarious without solid Government backing. The disappearance of the pupil premium post 16, the school reports, is a significant oversight at a critical stage of education, particularly in specialist settings. On that basis, might the Government consider the merits of providing some ringfenced funding for access and outreach initiatives to recognise and protect the role of specialist post-16 institutions in driving social mobility and mathematical excellence?

The Campaign for Mathematical Sciences is also working to boost uptake of university mathematics courses through its maths degrees for the future scheme, which is rewarding universities that show genuine commitment to increasing the accessibility of their mathematics courses and those that commit to equipping undergraduates with the flexibility and foundational skills to move into a wide range of future careers. There are grants of up to £500,000, but that on its own will not be enough to support the sector. I hope that the Government will show the same commitment to the future of mathematical sciences that the universities winning those grants are demonstrating.

To move further back in the pipeline, to mathematics in schools, the Government have significantly scaled back the advanced mathematics support programme. In response to my written question, the Minister confirmed that with reduced funding of £8.2 million for 2025-26, the programme must now focus on narrower areas:

“supporting schools with low girls’ progression to level 3 mathematics”,

helping “disadvantaged students” and artificial intelligence-related skills. Although those priorities are extremely important, that nevertheless represents a fundamental reduction from the comprehensive programme that, since 2009, has increased A-level mathematics entries by nearly 40,000. The programme can no longer provide the broad-based support that it once did, and with funding beyond 2026 subject to spending review, there is ongoing uncertainty about its future. Although I understand that it makes the best of difficult circumstances, will the Minister acknowledge that that refocusing represents a significant reduction in our national commitment to mathematics education at precisely the time that we need to be expanding it?

Mathematics teaching is another pressing concern and the forecast decline in undergraduate numbers that I mentioned is even more rapid at mid and lower-tariff institutions. As I have said, those are the ones where it is far more likely that their students will become teachers post-graduation. I declare an interest as a governor of the Cambridge Maths Hub, a group that fosters professional dialogue about mathematics teaching between schools in Cambridgeshire, Peterborough, Norfolk and Suffolk. To quote the hub

“quality teaching is led by expert questioning, predicting, exposing and correcting misconceptions, and designing work that challenges students so they experience success when they apply their knowledge and think mathematically.”

To me and many others, that could be reframed by saying that mathematics teaching is best performed by mathematics graduates.

How will the Government work with universities to ensure that strong mathematics provision continues in every region? Could the Minister outline how mathematics teachers might be prioritised in the strategy to recruit 6,500 new teachers? Beyond that, I hope that the Government will examine what is being studied, as well as schools’ capacity to deliver the education. The current pass rate for GCSE mathematics retakes is one area of concern, with only just over 17% of nearly 200,000 post-16 entrants achieving grade 4 or above.

The Maths Horizons project recently found that 82% of polled teachers think that there is too much content on the national curriculum, and that that is impeding the success of many students. It argues the national curriculum still does not appropriately prioritise “teaching for mastery” and rigour, despite the efforts of the 2014 reforms to key stage 4 mathematics. On that basis, I hope that the Government will consider taking on board the findings of that Maths Horizons project research in its curriculum and assessment review and to find ways to rebalance—not cut down—the mathematics curriculum in schools.

If the UK is to remain a world-beating hub for research, innovation and growth, we must nurture mathematical excellence right from the beginning. The skills of logical reasoning, problem solving and analytical thinking that mathematics develops are not just useful for future mathematicians, but essential for all citizens in an increasingly complex world.

Mathematics is too important to be left to chance or to be treated piecemeal. We need a national strategy for mathematics with a comprehensive approach that recognises the fundamental role of mathematical thinking in everything from personal finance right through to national security, and from healthcare innovation to other areas of science. Such a strategy would co-ordinate efforts across the three areas I have outlined. It would ensure that our research base remains world leading, support our universities to maintain and expand mathematics provision, and give every child the mathematical foundation they need to thrive. It would recognise that mathematical skills are not just about producing more mathematicians, though we do desperately need them, but about maintaining our competitive edge in an increasingly quantitative world.

My asks have been multiple, from strengthening foundational mathematical knowledge in primary and secondary schools and widening access to mathematical sciences courses in universities to funding our research sector for the years to come. The Government must urgently examine every stage of the mathematical skills pipeline in detail and introduce a national strategy for mathematics to secure our future.

The Government have set out ambitious goals for growth, innovation and improved living standards. Mathematics is not just relevant to these aims; it is absolutely integral to them, as I have argued. To achieve growth, we need mathematicians, and for the UK to develop the best mathematicians, the sector needs strategy, investment and sustained attention. That is my conjecture on my imaginary blackboard. I hope I have gone some way to providing the supporting evidence for it, and I hope the Government will take up the challenge of providing the proof.

--- Later in debate ---

[Ian Sollom]

I thank the Minister for the Government’s response to this debate and I also thank all the Members who contributed.

The hon. Member for Harlow (Chris Vince) rightly pulled me up on engineering, which I will squeeze into the mathematical sciences, and I apologise. He also shared his love of teaching maths. It was so wonderful to hear his excitement, for example, about communicating the idea of the golden ratio, the beauty of which is everywhere to be seen.

The hon. Member for Dulwich and West Norwood (Helen Hayes) touched on an aspect of financial education that I did not get to, although I would have liked to. She also spoke about those who do not achieve grade 4 and have to go through endless rounds of resits. I could not agree more that getting the teaching of mathematics skills into vocational training will be a much better way forward.

My hon. Friend the Member for Thornbury and Yate (Claire Young) spoke eloquently about how we are bombarded with information in the modern world. Understanding numbers is critical for decision making and understanding the world around us. She also touched on dyscalculia, which requires specialist understanding in schools. I look forward to hearing more about the Government’s plans for SEND in the future.

My hon. Friend the Member for Harpenden and Berkhamsted (Victoria Collins) responded for the Lib Dems today. I, too, congratulate her on being a maths champion. I was not—I never achieved that particular accolade—but I hope that we are all maths champions today.

The spokesperson for the official Opposition, the hon. Member for Harborough, Oadby and Wigston (Neil O'Brien), shared possibly the most obscure mathematics joke that the House has ever heard. However, his description of Hilbert space was totally apt.

I will wrap up my comments now, so as not to go on infinitely. We have had a really good debate today. It reflects the importance of mathematics to the UK, and long may that contribution continue. I am reassured by some of what the Minister said, but we will continue to scrutinise the Government’s plans as we see them being put into action.

Question put and agreed to.

Resolved,

That this House has considered the contribution of maths to the UK.