A chaotic system is one where the outcome is sensitively dependent on initial conditions. Small disturbances can take the system in new, unpredictable directions. Professor Jens Marklof has built a successful career understanding the mathematics that underpin the chaos of quantum systems. 

His career, or indeed any academic career, is a kind of chaotic system. You never know which meeting or conversation will send you off in a new direction.

In a fascinating conversation, we explore key moments and opportunities in his career, like introducing himself to Peter Sarnak or sharing an office with David Thouless, shaped the scientist he is today. 

Jens was the Rothschild Distinguished Visiting Fellow for the Isaac Newton Institute's programme on Geometric Spectral Theory. His public lecture, "The quantum centenary: from order to chaos"  celebrated the 100th anniversary of quantum mechanics.

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This episode was supported by the quantitative research firm G-Research, which has launched a new series of mathematical puzzles called G-Riddles. It's free to try and could win you a cash prize: https://www.gresearch.com/griddles/

Living Proof is the podcast of the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge. 

The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.

Produced by Jon Farrow.

Edited by Keerthi Raj.

Music: 'Origami' by Scott Buckley - released under CC-BY 4.0. www.scottbuckley.com.au

A father, two of his children, and a family friend — all mathematicians — made progress on a long-standing problem in group theory by coming together at the Isaac Newton Institute.

Listen as Plus Magazine editors Rachel Thomas and Marianne Freiberger interview Roman Sauer, and Uri, Saar, and Shaked Bader to find out more about their research and paths to mathematics.

The Operators, Groups, and Graphs programme was in residence at the INI from July to December 2025: https://www.newton.ac.uk/event/ogg/

The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.

newton.ac.uk

We talk with Professor Clemency Montelle all about her work decoding the mathematics of ancient manuscripts. In a wide-ranging discussion, we cover some of the concepts that first arose in India, hear about a mentor who hosted meals based on ancient recipes, and learn how important cultural and historical context is for the questions that mathematicians ask.

While she was at the INI, Professor Montelle delivered the Kirk Lecture for the Modern History of Mathematics Programme, which you can watch here: https://www.youtube.com/watch?v=sa2kN-li984 

---

This episode was supported by the quantitative research firm G-Research, which has launched a new series of mathematical puzzles called G-Riddles. It's free to try and could win you a cash prize: https://www.gresearch.com/griddles/

Living Proof is the podcast of the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge. 

The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.

Produced by Jon Farrow.

Edited by Keerthi Raj.

Music: 'Origami' by Scott Buckley - released under CC-BY 4.0. www.scottbuckley.com.au

----

**Correction** At 5:26, the date of the earliest numerical tables is the beginning of the second millenium before the Common Era.

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 models
• Maths in a Minute: Differential equations
• Maths in Minute: Machine learning

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.

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.

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.

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.

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: Topology
• The hypersphere in four dimensions
• Telescope topology

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 

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.

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.

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.

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

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

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

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’”

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

In this episode of Living Proof, Dan Aspel is joined by three guests: Daniel Gardham (Surrey), Katherine Benjamin (Oxford), and Francisco de Melo Virissimo (LSE), all of whom won medals as podium finishers at the 2024 STEM for Britain awards at the UK parliament in March. The conversation covers their success in the highly competitive poster exhibition, how it felt to present their mathematical research to politicians and the public, and what the future holds for each of them from this point onwards.

> https://stemforbritain.org.uk/
> https://www.newton.ac.uk/news/ini-news/stem-for-britain-winners-2024/

00:00 - Introduction
02:20 - How does it feel to have won medals at STEM for Britain?
04:40 - What attracted you to the event?
08:10 - What’s it like presenting mathematical research to MPs and politicians?
12:10 - Learning to communicate key information quickly and more efficiently, and comparisons with academic settings
16:40 - Could all academics benefit from this kind of experience?
19:00 - How would pure maths fare at en event such as STEM for Britain?
20:50 - A strong field of finalist posters, but little time to enjoy them
23:30 - The experience of visiting Parliament and the atmosphere of the event
27:27 - What does the future hold for each of you?

Now in its third year, 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 speak to Dr Swapnil Jaideo (SJ) Kole to learn about her journey through mathematics so far, and to find out what being awarded this Fellowship – which involves spending three months on the INI research programme "New statistical physics in living matter: non equilibrium states under adaptive control"  and nine months working with Professor Michael Cates at Cambridge University’s Department for Applied Maths and Theoretical Physics  – means to her personally.

From 8-12 January 2024, the "Equivariant methods in geometry" took place in INI's main seminar room in Cambridge, UK. So far, so routine procedure. However, this workshop had the unique twist of being run in parallel with a team at the University of Ibadan, Oyo State, Nigeria. Linked by audio-visual streaming connections, the two events were remotely connected and operated as one throughout the week.

Following successful interactions across continents (on top of the usual collaborations taking place at the Cambridge base), Dan Aspel caught up with organisers and participants: Victoria Hoskins, Praise Adeyemo, Joshua Jackson and Dominic Bunnett to find out how the partnership came about, and how others could do the same with their own research meetings.

In this short episode, Dan Aspel speaks to Professor Ben Allanach (Cambridge, CERN) about his talk "The Force Awakens: Quantum Collisions" which he'll be delivering in INI's main seminar room for this year's Cambridge Festival.

Taking place on Saturday 23 March at 11:00, the talk is in fact now sold out. However, if you'd like to join the waiting list for any cancelled tickets you can do so here: https://www.eventbrite.co.uk/e/the-force-awakens-quantum-collisions-tickets-810293639087

... and remember that even if you aren't able to attend in person, the talk will be streamed live on our site and made available to view after the event. So make sure to bookmark the following two links.

Live stream: newton.ac.uk/news/watch-live
Recording: newton.ac.uk/outreach/ongoing-initiatives/cambridge-festival

Episode published 30/01/24 

In February 2022, Olena Domanska and her family left their home in Ukraine. The ongoing Russian invasion has meant that they are yet to return to the world they left behind. However, through her engagement with INI's Solidarity for mathematicians programme, she and her family are currently based near the University of Manchester where she is continuing her work on neural networks "at the intercept of artificial intelligence and differential equations". 

In this podcast, Olena - mother to five children, including an eight-month-old daughter - talks through her experience of the Solidarity programme and how it has made the continuation of her career possible under trying circumstances.

Episode published: 20/11/23 

Thanks to the generous support of the Simons Foundation, the INI-Simons Postdoctoral Fellowships in Mathematics is now in its second year of enabling “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 speak to Dr Samuel Stark to learn about his journey through mathematics so far, and to find out what being awarded this Fellowship – which involves spending six months on an INI research programme and six months working at Cambridge University’s Faculty of Maths – means to him personally.

Episode published: 10/10/23 

Thanks to the generous support of the Simons Foundation, the INI-Simons Postdoctoral Fellowships in Mathematics is now in its second year of enabling “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 speak to Dr Zhao-He Watse Sybesma to learn about his journey through mathematics so far, and to find out what being awarded this Fellowship – which involves spending six months on an INI research programme and six months working at Cambridge University’s Faculty of Maths – means to him personally.

Episode published: 09/10/23 

Thanks to the generous support of the Simons Foundation, the INI-Simons Postdoctoral Fellowships in Mathematics is now in its second year of enabling “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 speak to Dr Paul Pruzina to learn about his journey through mathematics so far, and to find out what being awarded this Fellowship – which involves spending six months on an INI research programme and six months working at Cambridge University’s Faculty of Maths – means to him personally.

In the latest episode, Dan Aspel speaks to Simon Cox and Adil Mughal - organisers of the 2023 programme "GeomPack: Geometry and packing in material structure and biology". The second ever INI satellite programme, GeomPack is being held at Aberystwyth University in its 150th year. Simon and Adil explain the joys and challenges of organising such an event, as well as the fascinating research which has seen them and the participants tackle "some of the knottiest problems in mathematics for centuries”.

PMV programme: https://www.newton.ac.uk/event/pmv/

00:00 - Introduction
00:58 - Welcome and programme overview, life in Aberystwyth
03:40 - Comparing the experience to events at INI, origins of the GeomPack community
08:40 - Marbles and pint glasses: how to explain packing problems (the Kepler conjecture and "some of the knottiest problems in mathematics for centuries”)
17:00 - The fascination of the “Einstein tile”
19:10 - Learnings from running an INI satellite programme
25:45 - Looking ahead to the future

Episode recorded 04/09/23

Episode recorded: 17/07/23

In this episode of Living Proof, Dan Aspel speaks to Coralie Colmez, author of the young adult novel "The Irrational Diary of Clara Valentine" - recently chosen as one of Chalkdust magazine's "books of the year". A Cambridge maths graduate herself, it was Coralie's ambition to write a story rich in both mathematics and mystery - with the Chalkdust review highlighting that "the explanations of the solutions to these puzzles are blended into the story expertly". In this interview, Coralie explains further about the books origins, its intentions and what comes next.

Find out more about Coralie's writing, download a free PDF of the book, and find links to other online sellers here: https://www.coraliecolmez.com/books

Episode recorded: 07/07/23

In this episode of Living Proof, Dan Aspel and Marianne Freiberger are joined by Tomer Schlank (Hebrew University of Jerusalem) and Jeremy Hahn (MIT). Working alongside Robert Burklund and Ishan Levy, Tomer and Jeremy's recently announced a disproof of Ravenel's telescope conjecture at the June 2023 INI workshop "A panorama of homotopy theory".  Here, they explain why this was such a significant announcement, and what effect it has had on the field of homotopy theory.

2018 INI programme: https://www.newton.ac.uk/event/hhh/
2023 follow-on workshop: https://www.newton.ac.uk/event/hhhw05/

The 23rd of June 2023 marks exactly thirty years since Sir Andrew Wiles announced his historic first proof of Fermat’s Last Theorem. He did so at the Isaac Newton Institute, during the culmination of three days of special lectures, delivered as part of the June 1993 L-functions and arithmetic programme - one of the first research meetings to take place at the recently founded INI.

To mark this happy occasion, we - together with our colleagues at Plus magazine and the Maths on the move! podcast - present this short documentary. In it we speak not only to Wiles himself, but to others who were a part of this historic moment or whose work the proof continues to inspire.

Find more, including a video interview with Andrew Wiles and accompanying article, right here: https://www.newton.ac.uk/news/ini-news/wiles-flt-30/ 

This year, and more specifically during the week of 20 March, the Newton Gateway to Mathematics will be celebrating its 10th anniversary.

A "knowledge intermediary for the mathematical sciences" and the "impact initiative" of the Isaac Newton Institute for Mathematical Sciences, the Gateway has spent the past decade connecting mathematical research with industry, businesses, the public sector and other scientific disciplines.

To mark this happy occasion - and to look back at the past, and ahead to the future - Dan Aspel is joined by Newton Gateway manager Clare Merritt for a brief but insightful conversation.

In this 50th (!) episode of Living Proof, Dan Aspel speaks to Rachel Thomas and Marianne Freiberger of Plus magazine. Plus works closely with INI to help explain, celebrate and publicise the research that happens at the Institute. But what challenges does that present? And why should it happen in the first place?

00:00 - Introduction
00:44 - Welcome, discussing “Communicating Mathematics for the Public”, the importance of trustworthiness
05:30 - Who you’re speaking to vs what you’re saying
07:38 - Making higher mathematics accessible to audiences: “any bit of mathematics either comes from somewhere, or is going somewhere, or both”
14:20 - Are there incommunicable subjects?
16:55 - The rarity of maths “headlines”
19:25 - The partnership between INI and Plus magazine - why is it important?
23:25 - Are some topics inherently more interesting?
25:26 - What is the end goal of maths communication? “I would love it if people could see how maths is everywhere… that maths is a language of rhythms and patterns”
30:00 - Looking to the future

In episode #49 of Living Proof, Dan Aspel and Maha Kaouri are joined by presenter, writer and comedian Timandra Harkness. The author of Big Data: Does Size Matter? And Fellow of the Royal Statistical Society speaks about her current projects, how to make maths "funny", and how she came to fall in love with mathematics from an arts and humanities background.

> Visit timandraharkness.com or find Timandra on Twitter @TimandraHarknes

00:00 - Introduction
00:44 - Welcome, discussing “Communicating Mathematics for the Public”
03:38 - Origins of Timandra’s interest in maths, understanding “enough to ask the right questions”
07:50 - Discussing the book “Big Data - Does Size Matter?”
11:10 - Other current projects and shows, writing another book about “why everything is personalised”
13:13 - Mingling an arts background with a mathematics focus, “coming out as a closet mathematician”
17:10 - How do you make maths funny as a comedian? ... “What’s a statistician’s favourite sandwich filling?”
21:10 - Future projects

Episode published 15/02/23

In episode #48 of Living Proof, Dan Aspel and Maha Kaouri speak to Hannah Thomas of Government Analysis Function (analysisfunction.civilservice.gov.uk). Hannah's role at this "network for civil servants", is that of "Lead Support for Communicating Data, Statistics and Analysis" - making her the perfect person to discuss how to make data accessible.

This conversation was inspired by the Newton Gateway event  "Communicating Mathematics for the Public" at which Hannah delivered the talk "Data Visualisation and Digital Accessibility: What We Can Do to Help".

00:00 - Introduction
00:44 - Welcome, discussing "Communicating Mathematics for the Public" ("as entertaining as Disneyland Paris and definitely more inspiring")
04:20 - All about Government Analysis Function, a love of data journalism, career history
13:35 - Visualising data and making digital information accessible
21:40 - Common accessibility pitfalls
24:20 - Plans for the future... e-learning resources

Thanks to the generous support of the Simons Foundation, the INI-Simons Postdoctoral Fellowships in Mathematics is now in its second year of enabling “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 speak to Dr Nicolas Boulle to learn about his journey through mathematics so far, and to find out what being awarded this Fellowship – which involves spending six months on an INI research programme and six months working at Cambridge University’s Faculty of Maths – means to him personally.

Thanks to the generous support of the Simons Foundation, the INI-Simons Postdoctoral Fellowships in Mathematics are enabling “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 speak to Dr Patrick Sprenger to learn about his journey through mathematics so far, and to find out what being awarded this Fellowship – which involves spending six months on an INI research programme and six months working at Cambridge University’s Faculty of Maths – means to him personally.

Forced to leave Ukraine, and his work at the Institute of Hydromechanics at the National Academy of Sciences, due to the Russian invasion of February 2022, Yuriy Semenov found sanctuary in Britain at the University of East Anglia. This was in part thanks to support from INI's "Solidarity for mathematicians" programme.

This episode of the podcast tells Yuriy's story in his own words.

00:00 - Introduction
00:43 - Welcome
01:20 - Discovering the Solidarity for mathematicians programme, career history
05:20 - Leaving Ukraine following the Russian invasion: "Life changed in one day... each day started with reading the news and tracking down the front line... war reminders were frequent"
07:30 - "From time to time rockets struck the town and killed people."
08:30 - "The work of a mathematician is always possible."
09:20 - Joining INI activities, maintaining links with Ukraine
15:00 - Words for others applying to "Solidary for mathematicians": "I strongly suggest to apply for this programme."

Professor Nataliya Vaisfel’d was until recently Head of the Chair of methods of mathematical physics at Odesa I. I. Mechnykov National University. She is currently a Senior Lecturer at King’s College London. Forced to flee Ukraine after the Russian invasion of her home country in February of this year, Nataliya has since travelled across Europe with her wheelchair-bound mother and their dogs, eventually finding sanctuary in Britain in part thanks to INI’s "Solidarity for mathematicians" programme.

This podcast tells Nataliya’s story in her own words.

00:00 - Introduction
01:00 - Travelling across Europe, finding a place to live and work
13:30 - Fleeing Ukraine as a refugee ("our generation... we only saw this in some films, movies about the second World War")
18:20 - "If now it is terrible, and it seems to you absolutely dark around you, and you can't see something ahead... believe. You should trust. It will return and you will see some light. Sure. Absolutely. Never, never, never surrender."

Episode published 20/09/22

In episode #45 of Living Proof, Dan Aspel and Christie Marr are thrilled to meet Ben Sparks and Katie Steckles. Ben is a mathematician, musician and speaker based at the University of Bath who works with groups as diverse as the Advanced Mathematics Support Programme and the hugely popular Numberphile YouTube channel. Katie, meanwhile, is a mathematician and communicator who lectures at Sheffield Hallam University and is regularly found presenting entertaining and insightful talks everywhere from science festivals to schools and theatres to BBC radio and TV.

As they often work together, these two experienced explainers and explorers of mathematics have much advice and insight to offer to the listener.

00:00 - Introduction
00:47 - Welcome
01:23 - About Katie
02:48 - About Ben
04:40 - Their work together
09:44 - Working remotely as a speaker and communicator, the pros and cons
14:20 - Specific advice on kit and equipment for communicating maths
22:40 - Is there something unique about communicating maths?
36:10 - Personal highlights of current work
46:00 - What to do when things go wrong: a mathematician's "emergency toolkit"
53:00 - What does the future hold?

Find out more about Ben Sparks and Katie Steckles via...
> www.bensparks.co.uk
> katiesteckles.co.uk

Episode published 31/08/22

In episode #44 of Living Proof, Dan Aspel and Christie Marr speak to both Don Zagier and Silke Zagier. Don is a widely respected number theorist and currently and currently "Retired Scientific Member and Director" of the Max Planck Institute for Mathematics in Bonn. This summer he has been involved in two INI programmes: K-theory, algebraic cycles and motivic homotopy theory and New connections in number theory and physics. Silke, meanwhile, is an experienced administrator and historian of mathematics. Topics covered include their individual life stories, as well as the realities of being a married, travelling couple within the world of academia.

00:00 - Introduction
00:48 - Welcome
01:20 - Involvement in two consecutive INI programmes, travelling together as part of an academic career
06:30 - Being the partner of an INI visitor, the potential for bringing young children
12:20 - How to earn a significant academic reputation ("I just kept getting older and older... and people look up to you because you're still there!")
14:20: Enthusiasm, and the motto "modular forms are everywhere"
16:35: Adjusting to post-pandemic working, the challenges of delayed programmes at INI
18:20: Highlight of an INI visit: to work with such a variety of people, and to visit other institutions (see Talks elsewhere)
24:58: Silke's research into the history of Japanese mathematics during the country's "sakoku" period.

Episode published 06/07/22

In episode #43 of Living Proof, Maha Kaouri and Christie Marr speak to Tom Whipple, Science Editor at The Times. Tom read Maths at Cambridge and has been covering science for the Times since 2011. He was recently involved in a Newton Gateway/V-KEMS/RAMP Virtual Study Group on The Public Perception of Science, where he presented a challenge on Communicating Mathematics. Tom was then invited to the Institute to learn more about all the mathematics programmes and activities INI hosts.

00:20 – Welcome
00:50 – The journey from a mathematics undergraduate to a scientific journalist
03:36 – The challenge of communicating mathematics
07:57 – The public perception of mathematics
10:46 – Reflecting on the benefits of a mathematics degree
13:59 – What makes a great maths story? How to persuade an editor?
20:32 – The impact of COVID-19 on scientific journalism & the public understanding of mathematics
26:01 – Maths-related topics & engaging the audience

In episode #42 of Living Proof, Dan Aspel and Christie Marr speak to Prof Parimala Raman of Emory University. Parimala, the Kirk Distinguished Visiting Fellow for K-theory, algebraic cycles and motivic homotopy theory programme, has extensive experience of research in her home country of India, where she represents a significant role model for younger women beginning their careers in mathematics. Not only this, but she also has some uplifting thoughts to share on the "two-body problem" often faced by couples simultaneously pursuing academic careers in a job market where geography is a significant factor.

00:00 - Introduction
00:49 - Welcome
01:30 - First discovering mathematics, encouragement by Parimala's father
03:20 - Gender and mathematics, pursuing a PHD as a woman
05:20 - Choosing Emory University, being close to her son
07:50 - Becoming a role model for younger women, "I feel very honoured to have this kind of impact"
09:10 - Solving "the two-body problem" of following a partner's career around the globe, from Tanzania to Switzerland to India, "If he had not followed me, I would have given up mathematics at that point"
13:10 - Reconnecting with peers at INI's "K-theory, algebraic cycles and motivic homotopy theory" programme, "it has been a very, very enjoyable and fruitful trip"
17:30 - "Grab the opportunity!"

Dan Aspel speaks to Dr Anagha Madhusudanan, one of the first three recipients of the new Simons Postdoctoral Fellowships in Mathematics.

Dan Aspel speaks to Dr Antoine Remond-Tiedrez, one of the first five recipients of the new Simons Postdoctoral Fellowships in Mathematics.

Dan Aspel speaks to Dr Aluna Rizzoli, one of the first three recipients of the new Simons Postdoctoral Fellowships in Mathematics.

Dan Aspel speaks to Dr Avi Mayorcas, one of the first three recipients of the new Simons Postdoctoral Fellowships in Mathematics.

Dan Aspel speaks to Dr Emine Yildirim, one of the first three recipients of the new Simons Postdoctoral Fellowships in Mathematics.

In this inaugural podcast, INI Director David Abrahams speaks about his role at the Institute, reflects on his first two-and-a-half years in the post and looks forward to the remainder of his tenure. Hosted by: Dan Aspel (INI Communications Manager)