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AI is fundamentally mathematical, and AI systems are changing what is possible in mathematics. This is a turbulent time for the field.

We spoke with Professor Gitta Kutyniok, who visited the INI in August as part of the Operator methods for dynamical systems programme. An expert in the mathematics underpinning AI, she had a fascinating take on the impact of AI on research, education, and society more widely.

Professor Kutyniok holds the Chair for Mathematical Foundations of Artificial Intelligence at LMU Munich, where she focuses on "the intersection of mathematics and artificial intelligence, aiming for both a mathematical understanding of artificial intelligence and artificial intelligence for mathematical problems."

The episode was recorded on August 6, 2026.

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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