Mathematics and the Future of AI

Intellectual leadership through deep foundations

In a new University of Oxford Expert Comment article, Erlangen AI Hub Co-Investigator Professor Peter Grindrod CBE, argues that mathematics is not peripheral to artificial intelligence, but central to solving its core challenges.

As AI systems increase in scale and complexity, concerns around reliability, bias, interpretability, and formal guarantees cannot be addressed by engineering alone. Mathematics provides the structure to reason rigorously about uncertainty, optimisation, stability, and limits. Through probability, geometry, topology, dynamical systems, and information theory, maths enables AI systems that are interpretable by design and grounded in provable principles.

At the Erlangen AI Hub, Professor Grindrod and colleagues are working precisely in this space: bringing deep mathematical ideas into direct engagement with real-world AI challenges. Maths provides the foundation to build systems that are more robust, transparent, and intellectually grounded, helping position the UK as a leader through intellectual depth rather than scale. Read the full article below.

Expert Comment: How and why mathematics will both underpin and lead the next generation of AI | University of Oxford

Mathematical Foundations of AI:
The Erlangen Hub Conference 2026

Artificial intelligence has achieved remarkable success, yet we still lack a rigorous mathematical understanding of why modern AI systems work, and when they fail. Closing this gap is one of the defining scientific challenges at the intersection of mathematics and computer science. The Mathematical Foundations of AI: Erlangen Hub Conference 2026 will bring together leading researchers in geometry, algebra, topology, probability, dynamical systems, machine learning and related fields for an interdisciplinary exploration of the mathematical principles underlying modern AI. The conference aims to foster new connections across disciplines and advance the mathematical foundations needed to build more reliable, robust, and trustworthy AI systems.

Confirmed speakers 

For further details of speakers click here.

Ticket prices

  • Conference: £120
  • Conference + Dinner on 1st September: £190

Tickets include refreshments and lunch across all three days. The optional conference dinner will be held at an Oxford College, Lady Margaret Hall, on the first evening.

The programme includes:

  • Plenary talks from leading researchers
  • Short talks and industry perspectives
  • Poster sessions and lightning talks
  • A panel discussion on future directions

Participants are invited to submit a poster showcasing a research project or collaboration (A0 size). You may also opt to present a lightning talk prior to lunch break. Indicate your interest when registering.

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