Advertise on podcast: Living Proof: the Isaac Newton Institute podcast

Send us a text Imagine if your doctor had a digital model of your heart, personalised to you and updated with your latest medical information. This isn't science fiction – this revolutionary healthcare is being tested now. In this podcast we speak to Steven Niederer, who leads the CVDNet project developing and testing these ideas, and his colleague Richard Wilkinson, from the University of Nottingham. Richard is one of the organisers of the long research programme, Representing, calibrating & leveraging prediction uncertainty from statistics to machine learning (RCL), held earlier this year at the Isaac Newton Institute for the Mathematical Sciences (INI). We first spoke to Steven back in 2019 when he helped organise the Fickle Heart programme at the INI. In this podcast, Richard and Steven tell us about digital twins, digital hearts, and how the RCL programme and CVDNet build on the work started back in 2019 with the Fickle Heart programme. You can find out more about some of the ideas discussed in this podcast in these short introductions: Maths in a Minute: Mathematical modelsMaths in a Minute: Differential equationsMaths in Minute: Machine learning

Send us a text In this episode of Living Proof, we speak with Céline and Frank about their book: Why nobody understands quantum physics - and everyone needs to know something about it. They share insights into their writing journey and how each of their backgrounds contributed to the final project. We met Céline and Frank at the Isaac Newton Institute for Mathematical Sciences in Cambridge, where Frank is co-organising the research programme Quantum field theory with boundaries, impurities, and defects. "I have learnt that even if you are not a master in mathematics and science you are still able to grasp the essence." This is Céline Broeckaert talking, believe it or not, about the famously difficult theory of quantum mechanics. Céline knows what she's talking about. She's not a physicist, in fact she's a Romance languages scholar, author and playwright. Yet she's written a book about quantum mechanics together with her physicist husband Frank Verstraete, Leigh Trapnell Professor of Quantum Physics at the University of Cambridge. The book is called Why nobody understands quantum physics - and everyone needs to know something about it. And it's good timing: quantum mechanics celebrates its 100th birthday this year. See here for an article Plus Magazine published previously about Frank's work. For a brief introduction to quantum mechanics see A ridiculously short introduction to some very basic quantum mechanics. To find out more about the overlap of maths and art, see here.

Send us a text In this episode of the Living Proof podcast we're delighted to meet Moustapha Fall. Moustapha is the Center President of the African Institute for Mathematical Sciences (AIMS) in Senegal and winner of a prestigious Ramanujan Prize for Young Mathematicians from Developing Countries. He also plays an important role on the international stage as Member-at-Large of the Executive Committee of the International Mathematical Union. Moustapha talks to us about about the amazing institution that is AIMS, about his outreach activities and advice for budding mathematicians, and about the challenges that face mathematicians in sub-Saharan Africa. You can find the IMU-ICIAM report on fraudulent publishing, which Moustapha mentions in the podcast, here. The same team of authors has also drawn up recommendations on how to fight fraudulent publishing. We met Moustapha when he visited the Isaac Newton Institute for Mathematical Sciences in Cambridge.

Send us a text Earlier this year the the anomalous mathematical patterns sci-art competition attracted some jaw-dropping entries. The competition was held in connection to the Stochastic systems for anomalous diffusion research programme which took place at the Isaac Newton Institute for Mathematical Sciences (INI) in Cambridge last year.  In this episode of Living Proof, we talk to Codina Cotar, who co-organised the INI programme and helped put on the competition. Codina explains the maths which served as inspiration and discusses some of the winning entries. From coffee to quantum mechanics and from dance to diffusion, find out how mathematics, nature and art are inextricably linked. Note that the in-person exhibition at the INI is now scheduled for March 2026. The entries discusses in this podcast are shown below. To find out more about some of the mathematical topics mentioned in this podcast see: The Sci-art competition - This article explores some of the mathematics behind the competition, including randomness, diffusion, and many particle systems.The Fields Medals 2022: Maryna Viazovska - This article looks at the mathematics of sphere packings, which won a Fields Medal for the mathematician Maryna Viazovska.Maths in a Minute: Fluid dynamics - A very bried introduction to the mathematics of liquids and gases.A ridiculously short introduction to some very basic quantum mechanics - This article does what the title suggests.A brief history of quantum field theory - A deeper look at the theory that arose from quantum mechanics.

Send us a text In this episode of Living Proof, we speak with renowned filmmaker Ekaterina Eremenko about her film "Portrait of Olga Ladyzhenskaya", which tells the story of the legendary Russian mathematician celebrated for her groundbreaking work in partial differential equations and fluid dynamics. Ekaterina shares what inspired her to bring Ladyzhenskaya’s life to the screen, explores the creative process behind the film, and reflects on the powerful intersection of art and science. The film was screened at the Isaac Newton Institute for Mathematical Sciences to celebrate International Women in Mathematics Day 2025.

Send us a text Welcome to the latest episode of Living Proof, our podcast produced in collaboration with Plus.maths.org– you can find all the content from the collaboration here. On May 30th 2024 seminar goers at Princeton University witnessed a thrilling moment. The mathematician Zhouli Xu of the University of California, LA, announced that, together with colleagues he had sorted out the 126th dimension. Not in general, but in regards to a problem that has taunted mathematicians since the 1960s. The problem involves strange shapes and is called the Kervaire invariant problem, after the mathematician Michel Kervaire. In this episode, Zhouli takes us on a trip into higher dimensions, giving us a gist of what this long-standing problem is all about and retracing some of the long, and sometimes arduous, journey towards a proof. We met Zhouli when he visited the Isaac Newton institute for Mathematical Sciences (INI) in Cambridge to take part in a research programme called Equivariant homotopy theory in Context. To find out more abut the topics discussed in this podcast see: Maths in a minute: TopologyThe hypersphere in four dimensionsTelescope topology

Send us a text Welcome to the latest episode of Living Proof, our podcast produced in collaboration with Plus.maths.org In this podcast we hope to give you some interesting information.  This information is encoded in terms of 0s and 1s – the classical bits in your computer or phone.  But what if instead we were using a quantum computer?  Then we'd be dealing with quantum bits, or qubits, opening up exciting new possibilities. And quantum information theory is the area of mathematics that explores how we can do that.  Adina Goldberg was one of the participants at a recent research programme in this area at the Isaac Newton Institute for Mathematical Sciences. In this episode we speak to Adina about her work and how her intriguing motto – "the meaning is in the arrows" – applies to her research, her career path, and the way she looks at life. You can find out more about quantum information in this short introduction and delve into the details of information theory in this collection of content.   Make sure you visit

Send us a text Welcome to the latest episode of Living Proof, our podcast produced in collaboration with Plus.maths.org In this episode we spoke to Sarah Hart, a mathematician interested in not just the maths itself, but also its connections to other areas of literature and art. She's done an amazing number of things throughout her career — from research in pure mathematics and heading up a maths department, to being the first woman Gresham Professor of Geometry and President of the British Society for the History of Mathematics.  Sarah has also written a fascinating book, called Once upon a prime: The wondrous connections between mathematics and literature, and she gave a talk at this year's Cambridge Festival, with the intriguing title Life in Lilliput – The Mathematics of Fictional Realms that was held at the INI. Sarah also participates in the Modern History of Mathematics research programme that is currently taking place at the INI. In this episode, Sarah tells us many things she has done and how they all fit together, and gives some advice for budding mathematicians of all ages: "keep pursuing all the things you love doing, and one day it may turn out that they all fit together." To find out more about some of the things mentioned in this podcast see the following links: Sarah Hart: Once upon a prime — In this episode of Maths on the Move podcast Sarah talks about her book and the connections between maths and literature.Maths in three minutes: Groups — This article gives a brief introduction to Sarah's research area.Life in Lilliput – The Mathematics of Fictional Realms — Click this link to watch a recording of Sarah's Cambridge Festival talk at the INI.

Send us a text Welcome to the latest episode of Living Proof, our podcast produced in collaboration with Plus.maths.org In this episode, we dive into the importance of communicating mathematics to a broader audience, a growing priority within the maths community. Sara Khan, Communications Manager at the Isaac Newton Institute, shares how the INI is championing mathematics communication. Then, Rachel Thomas and Marianne Freiberger, editors of Plus.maths.org, revisit their conversation with Hannah Fry, who has recently taken on the role of Professor of the Public Understanding of Mathematics at the University of Cambridge.  To learn more about the organizations and events mentioned in this episode that support mathematics communication, check out the following links: The Mathsci-comm network, funded by an INI Network grant, connects individuals working in or with an interest in communicating complex mathematics and data science to non-expert audiences. The network is managed by Plus.maths.org editors Marianne Freiberger and Rachel Thomas, alongside Maha Kaouri from the Newton Gateway to Mathematics.The Communicating Mathematical and Data Sciences — What Does Success Look Like? workshop, organized by the Mathsci-comm network, was held at the INI in November 2024. It was at this event that Hannah Fry announced her move to Cambridge.The Graduate Training Workshop for the Mathematical Sciences, hosted by the Newton Gateway to Mathematics, took place at the INI in February 2025, with a key focus on communication. This session was led by Plus.maths.org editors Marianne Freiberger and Rachel Thomas, along with Alison Kiddle and Katie Steckles, and followed a pilot event in October 2024.The Talking Maths in Public (TMiP) conference, held biennially in the UK, brings together those who work in or contribute to communicating mathematics to the public. TMiP 2025 will be held at the University of Warwick from 28th to 30th August 2025, with an option to attend online.

Send us a text Welcome to the latest episode of Living Proof, our podcast produced in collaboration with Plus.maths.org In this episode, we talked to famous Maths historian, David E. Rowe, who provided scientific advice for the play Diving into math with Emmy Noether, which was staged as  part of the Modern History of Mathematics research programme and the Inclusivity in the Mathematical Sciences workshop at the INI. We dive deep into the life and work of Emmy Noether, and about what it's like putting mathematics on stage. The play is produced by Portrait Theater Vienna in co-operation with Freie Universität Berlin, directed by Sandra Schueddekopf, and features Anita Zieher as Emmy Noether. Read article Emmy Noether: a creative mathematical genius produced by Plus magazine as part of their collaboration with INI.

Send us a text In the latest episode of Living Proof, Dan Aspel speaks to Aleks Mijatovic (Warwick, Alan Turing Institute) and Codina Cotar (UCL) about the Stochastic systems for anomalous diffusion programme. They’ll be speaking about the theme and challenges of their highly interdisciplinary six-month research project, but the conversation starts with comments on some truly remarkable headwear… Stochastic systems for anomalous diffusion programme: https://www.newton.ac.uk/event/ssd/ Submit a proposal for an INI programme: https://www.newton.ac.uk/events/submit-a-proposal/ 00:00 - Introduction 00:41 - Welcome, an insight into “flamboyant” hat designs 03:53 - Explaining the concept of anomalous diffusion  07:05 - Connections to physics, biology, statistical mechanics and more 10:00 - The logistical support at INI in Cambridge: “I’ve never been so relaxed in my life!” 13:20 - “The freedom this place affords us is great, and fertile ground for such things to happen” 17:52 - Solutions vs questions 20:44 - Personal highlights of the programme

Send us a text In the latest episode of Living Proof, Dan Aspel speaks to Professors Lionel Mason (Oxford) and Maciej Dunajski (Cambridge) of the Twistor Theory programme (https://www.newton.ac.uk/event/twt). Over the 30 minutes, they share their experiences of the scale and challenges of this far-reaching topic that - amongst other things - aims to unify general relativity and quantum mechanics. 00:00 - Introduction 00:42 - Welcome 01:48 - “I have been excited about this programme for 40 years”, introducing the topic 05:18 - Successes of the programme, the attendance of Roger Penrose 06:30 - Connecting Twistor Theory with the Kennedy assassination, a short history of the field 10:28 - The many languages of mathematics 13:45 - Periods of acceleration within the field, “… the 70s must have been truly exciting”, the collaboration between Penrose and Michael Atiyah 17:50 - “Roger makes no secret of the fact that he disapproved of String Theory” 19:48 - What applications can one expect from Twistor Theory? 27:14 - Personal highlights of the month-long programme, celebrating 30 years of collaboration

Send us a text In the latest episode of Living Proof, Dan Aspel speaks to Professors Mark Blyth and Sasha Korobkin, organisers of the INI Satellite Programme “The mathematics of multiphase flows with applications” (https://www.newton.ac.uk/event/mfa/). In the conversation, Mark and Sasha explain the programme’s research themes and share their insights into the challenges and rewards of organising an INI programme at your home institution - in their case the University of East Anglia in Norwich. 00:00 - Introduction 00:49 - Welcome, overview of the programme, UEA and Norwich as a venue 07:22 -  Social aspect of INI programmes 09:20 - Structure of the programme, starting with a summer school 13:02 - Central workshop of the programme: “New directions in multiphase flows” (https://www.newton.ac.uk/event/mfaw02/), connections with industry 16:30 - The challenges of running a satellite programme, without the infrastructure provided in Cambridge 20:50 - Discussing the two-year lead time from proposal to preparation to hosting the month-long programme, the importance of planning far in advance  22:45 - Success of the science during a month-long programme 26:38 - Personal highlights: “I was amazed we made it through the month without any catastrophes”, lecture on beer tapping 29:25 - Final thoughts, looking to the future

Send us a text In the latest episode of Living Proof, Dan Aspel speaks to Professor Kevin Buzzard of Imperial College London. Inspired by a lecture given by Thomas Hales at INI’s Big Proof (https://www.newton.ac.uk/event/bpr/) programme in 2017, Kevin has spent the past seven years working alongside fellow enthusiasts on the “Maths Library” project. In this conversation he explains the project in detail, touching on why the programming language of Lean was chosen, and how it interacts with his recent five-year grant to check the proof of Fermat’s Last Theorem. If you have been inspired by Kevin’s story, make sure to visit the October 2024 INI research programme Big Specification (https://www.newton.ac.uk/event/bsp/), much of which will be available to watch via live stream on newton.ac.uk 00:00 - Introduction 00:48 - Welcome, explaining the concept behind the “Maths Library”, digitising mathematics 04:20 - “It’s like asking if a submarine can swim” 07:55 - Harnessing the involvement of undergraduates 09:45 - Discussing the motivation, end goals and challenges of the project 17:28 - “The other question is: how far is it going to go? This is an ongoing topic of debate” 20:21 - A minimal, pessimistic prediction of expected progress in 10 years’ time 29:30 - A five-year grant to prove Fermat’s Last Theorem 36:55 - “I’d like to think I’m making the proof of Fermat’s Last Theorem more beautiful” 38:48 - “The goal is to make tools that, together with AI techniques, will turn mathematics on its head” 40:10 - Discussing “Lean” as a functional programming language 44:50 - “The INI Big Proof programme (2017) changed my life completely” (https://www.newton.ac.uk/event/bpr/) 52:50 - “If you hadn’t streamed it, I never would have seen it”, a transformation from a “second-rate number theorist” to business class flights, four-star hotels and chauffeur-driven cars on an international lecture tour 54:48 - “I still wake up every morning thinking ‘I want to prove Fermat’s Last Theorem’”

Send us a text Established in 2021, the INI Postdoctoral Fellowships in Mathematics scheme enables “exceptional early career researchers in the mathematical sciences” to gain “experience, independence and new connections on their way to a successful academic career”. In this episode of Living Proof, Dan Aspel speaks to Dr Luke Davis to learn about his journey through mathematics so far, and to find out what being awarded this Fellowship – which involves spending six months on the INI research programme “Stochastic systems for anomalous diffusion” – means to him personally. 00:00 - Introduction 00:38 - Welcome 01:55 - Taking part in “Stochastic systems for anomalous diffusion” (https://www.newton.ac.uk/event/ssd/) 05:54 - What does an early career researcher bring to an INI research programme? And what can they gain? 10:50 - Why transition from physics to mathematics? 13:40 - The experience of working at INI, “a place engineered for people to think, to talk” 15:04 - The future, the University of Edinburgh