Themes and summary (AI-generated based on podcaster-provided show and episode descriptions):
➤ maths research news, interviews • mathematical modelling: health, digital twins, epidemics, uncertainty • AI/deep learning, proof assistants • quantum physics, black holes • topology, data analysis, networks • maths communication, history, prizes, maths–art links
This podcast covers current ideas and events in mathematics and the mathematical sciences, with an emphasis on how mathematical thinking connects to research, technology, and society. Episodes typically feature interviews with mathematicians, physicists, statisticians, and other researchers, alongside accessible explanations of the concepts behind their work.
A recurring theme is mathematical modelling: how differential equations and computational simulations are used to describe real-world processes such as physiology and disease spread, and how models can mislead when their simplifications are overlooked. The podcast also explores efforts to make modelling more transparent and socially grounded, including involving the public in model design and grappling with how to represent human behaviour in epidemiology.
Another major strand is the mathematics underpinning modern computation, including machine learning, physics-informed neural networks, and the role of uncertainty, bias, and policy in AI deployment. Related discussions look at tools that make advanced mathematics usable—such as proof assistants for verifying arguments—and the evolving relationship between human reasoning, automation, and collaboration in research.
The show frequently moves between applied and pure topics, with accessible entry points into areas like topology and topological data analysis, graph theory, representation theory, dynamical systems, and number theory. It also marks milestones and community life in mathematics through coverage of major prizes, research programmes, and the work of influential figures, as well as conversations about communicating mathematics and its connections to art, literature, theatre, and history.
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Episodes:
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Living Proof: Building digital hearts
2025-Nov-20
29 minutes
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Living Proof: Céline Broeckaert and Frank Verstraete
2025-Nov-12
26 minutes
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Adventures in Model Land
2025-Nov-05
28 minutes
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Living Proof: Kevin Buzzard and proof assistants
2025-Oct-29
37 minutes
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Living Proof: Moustapha Fall
2025-Oct-22
24 minutes
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Living proof: Codina Cotar and some amazing mathematical art
2025-Oct-15
23 minutes
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Topological data analysis with Michael Hill
2025-Oct-08
22 minutes
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David Tong and 100 years of quantum mechanics
2025-Oct-01
31 minutes
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Liz Fearon: Co-producing mathematics with the public
2025-Jul-09
27 minutes
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Living proof: Hunting through higher dimensions with Zhouli Xu
2025-Jul-01
34 minutes
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Brainstorming AI with Maths4DL
2025-Jun-25
23 minutes
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Meet your digital twin
2025-Jun-18
21 minutes
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Living proof: The meaning is in the arrows with Adina Goldberg
2025-Jun-11
22 minutes
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Postcard from Oslo: Masaki Kashiwara and the 2025 Abel Prize
2025-Jun-04
21 minutes
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Living proof: A conversation with Sarah Hart
2025-Apr-22
24 minutes
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Rob Eastaway: Shakespeare's mathematical life and times
2025-Apr-15
23 minutes
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Living proof: Diving into maths with Emmy Noether
2025-Apr-07
29 minutes
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The Abel Prize 2025
2025-Mar-31
29 minutes
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Evidence week: Shaping the future of AI
2025-Mar-25
24 minutes
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Living proof: Communicating mathematics with the INI and Hannah Fry
2025-Mar-18
28 minutes
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Euromaths: Reinhard Siegmund-Schultze
2024-Dec-24
15 minutes
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Playing with VisualPDE
2024-Dec-17
29 minutes
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Solve for X and the Martingale Foundation
2024-Dec-10
25 minutes
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Yolanne Lee: Cats, dogs and AI
2024-Dec-03
23 minutes
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Hannah Fry: Mathematics for the people
2024-Nov-26
26 minutes
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Euromaths: Heather Harrington
2024-Nov-19
28 minutes
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Euromaths: Giovanni Forni
2024-Nov-12
26 minutes
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Euromaths: Jessica Fintzen
2024-Nov-05
14 minutes
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Euromaths: Richard Montgomery
2024-Oct-29
16 minutes
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David Spiegelhalter and the art of uncertainty
2024-Oct-22
24 minutes
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Meet the multiverse
2024-Oct-08
14 minutes
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The Gömböc revisited
2024-Oct-01
22 minutes
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What are groups and what are they good for?
2024-Sep-24
25 minutes
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Euromaths: Avi Wigderson
2024-Sep-17
19 minutes
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The origin of life: On Earth and elsewhere
2024-Sep-10
27 minutes
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The secret to a happy summer: Seville, causality and staircases!
2024-Jul-24
19 minutes
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On the mathematical frontline: Modelling behaviour
2024-Jul-16
24 minutes
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Euromaths: Maryna Viazovska
2024-Jun-26
11 minutes
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Euromaths: Artur Avila
2024-Jun-19
12 minutes
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Euromaths: Alessio Figalli
2024-Jun-11
8 minutes
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Euromaths: James Maynard
2024-Jun-04
16 minutes
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Euromaths: Hugo Duminil-Copin
2024-May-21
16 minutes
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The murmuration conjecture: finding new maths with AI
2024-May-15
17 minutes
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Tying together black holes, quantum gravity and number theory
2024-May-07
21 minutes
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The art of maths and the maths of art
2024-Apr-30
33 minutes
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Ramanujan: Dream of the possible
2024-Apr-23
12 minutes
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Celebrating spring with new shoots of mathematics
2024-Apr-16
24 minutes
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How physics can help AI learn about the real world
2024-Apr-09
23 minutes
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The force awakens: Quantum collisions
2024-Mar-26
24 minutes
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How does AI work?
2024-Mar-19
26 minutes
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It's all connected – climate change and the spread of diseases
2024-Mar-12
19 minutes
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Reduce, remove, refreeze: Repairing the Earth's climate
2024-Mar-05
27 minutes
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Bye bye 23, hello 24!
2023-Dec-12
25 minutes
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Can we build a low carbon energy network
2023-Dec-05
25 minutes
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The travelling salesman
2023-Nov-28
22 minutes
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The universal machine: Putting Alan Turing on the stage
2023-Nov-21
30 minutes
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A disappearing number
2023-Nov-14
25 minutes
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Have physicists discovered a fifth force of nature?
2023-Nov-07
22 minutes
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Victoria Gould: Combining mathematics and acting
2023-Nov-07
21 minutes
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How many dimensions are there?
2023-Oct-24
18 minutes
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Telescope topology
2023-Oct-17
32 minutes
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From clicks to chords
2023-Oct-03
25 minutes
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How does human noise impact whales?
2023-Sep-26
28 minutes
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Living Proof: The irrational diary of Clara Valentine
2023-Sep-19
16 minutes
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Mathematical summer fun
2023-Sep-12
24 minutes
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Gravitational waves reveal cosmic hum
2023-Jul-25
25 minutes
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Sarah Hart: Once upon a prime
2023-Jul-18
21 minutes
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A very old problem turns 30!
2023-Jun-23
25 minutes
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Chocolate and mayonnaise
2023-May-23
17 minutes
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From clicks to chords
2023-May-16
25 minutes
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A new map of dark matter
2023-May-09
21 minutes
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SBIDER Presents: Shining a light on COVID modelling
2023-May-03
20 minutes
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Synchronised swimming
2023-Apr-25
19 minutes
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Does infinity exist?
2023-Apr-18
22 minutes
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Climate change and ready meals: Challenges for epidemiologists
2023-Apr-04
14 minutes
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Living Proof: Timandra Harkness – How to make maths funny
2023-Mar-28
28 minutes
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Living Proof: Hannah Thomas – Making data accessible
2023-Mar-21
31 minutes
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Living Proof: Communicating from the frontiers of mathematics
2023-Mar-14
31 minutes
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On the mathematical frontline: Tom Irving
2023-Mar-07
29 minutes
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Sexual statistics
2023-Feb-28
22 minutes
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What are liquid metal batteries
2022-Dec-13
22 minutes
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A 60% chance of rain: Weather, climate, and how to deal with uncertainty
2022-Dec-06
21 minutes
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Are the constants of nature really constant?
2022-Nov-29
23 minutes
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Stadium maths
2022-Nov-23
15 minutes
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Voices from Ukraine: Yuriy Semenov
2022-Nov-15
20 minutes
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Voices from Ukraine: Nataliya Vaisfel’d
2022-Nov-08
24 minutes
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Women of Mathematics: Carola-Bibiane Schönlieb
2022-Oct-11
13 minutes
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Women of Mathematics: Holly Krieger
2022-Sep-20
9 minutes
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Women of Mathematics: Julia Gog
2022-Sep-14
9 minutes
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Women of mathematics: Anne-Christine Davis
2022-Sep-06
16 minutes
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Women of Mathematics: Nilanjana Datta
2022-Aug-31
10 minutes
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Women of Mathematics: Natalia Berloff
2022-Aug-24
8 minutes
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AI, babies, and agency
2022-Aug-16
22 minutes
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Machine learning and artificial intelligence
2022-Aug-09
31 minutes
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How the velodrome found its form
2022-Aug-03
19 minutes
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Maths on the red carpet - Fields Medallist June Huh
2022-Jul-26
14 minutes
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Maths on the red carpet – Fields Medallist Hugo Duminil-Copin
2022-Jul-19
14 minutes
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Maths on the red carpet - Fields Medallist James Maynard
2022-Jul-12
16 minutes
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Maths on the red carpet – Fields Medallist Maryna Viazovska
2022-Jul-05
21 minutes
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Maths on the red carpet –Revisiting the 2018 International Congress of Mathematicians
2022-Jun-28
15 minutes
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