Fields Institute Courses

Primes, Postdocs and Pretentiousness - 2021 CRM-Fields-PIMS Prize Lecture

Explore prime numbers, academic careers, and mathematical concepts in this engaging lecture by renowned mathematician Andrew Granville, offering insights into number theory and research.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Panel Discussion - 2022 Fields Medal Symposium

Experts discuss mathematical advancements and their implications in this engaging panel, exploring cutting-edge research and its impact on various fields of study.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Tacit Knowledge and Partial Automation in Mathematics

Explore the interplay between tacit mathematical knowledge and automation, examining how unspoken expertise influences computational advancements in mathematical research and practice.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Akshay Venkatesh: The Great Connector - Fields Medal Symposium 2022

Explore Akshay Venkatesh's groundbreaking work connecting diverse mathematical fields and his insights on the evolving nature of mathematical research in the digital age.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

How I Became Seduced by Univalent Foundations

Explore the captivating world of univalent foundations in mathematics, delving into its allure and significance through the personal journey of a renowned mathematician.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

What Makes a Proof Acceptable?

Explore the criteria for acceptable mathematical proofs, examining rigor, clarity, and convincing arguments in this thought-provoking lecture by Andrew Granville.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Is Mathematical Interest Just a Matter of Taste?

Explore the nature of mathematical interest with Fields Medalist Timothy Gowers, examining whether it's subjective or rooted in objective criteria.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

What Can the Working Mathematician Expect From Deep Learning?

Explore the potential impact of deep learning on mathematics, discussing its applications, limitations, and future prospects for researchers and practitioners in the field.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Prospects for AI Systems That Can Form Concepts and Abstractions

Explore the potential for AI to develop conceptual thinking and abstraction capabilities, examining current limitations and future possibilities in this cutting-edge field of research.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Abstract Formalities

Explore abstract formalities in mathematics with Johan Commelin, delving into advanced concepts and their applications in modern algebraic geometry and number theory.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Opening Remarks - 2022 Fields Medal Symposium

Renowned mathematicians discuss the significance of the Fields Medal and its impact on mathematical research, highlighting recent advancements and future directions in the field.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Quantum Ricci Curvature and Quantum Gravity

Explore quantum Ricci curvature's role in quantum gravity theories, examining its implications for spacetime structure and gravitational interactions at the quantum level.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

The Ground on Which We Stand

Explore the foundations of mathematical relativity, scalar curvature, and synthetic Lorentzian geometry in this thought-provoking lecture by Fay Dowker from Imperial College London.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Machine Learning and Dynamical Systems Meet in Reproducing Kernel Hilbert Spaces

Explore the intersection of machine learning and dynamical systems in Reproducing Kernel Hilbert Spaces, offering insights into advanced mathematical concepts and their applications.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Learning Dynamical Systems

Explore cutting-edge research on integrating machine learning with dynamical systems, presented by expert Sayan Mukherjee from University of Leipzig and MPI MiS.

• YouTube
• 36 minutes
• Self-Paced
• Free Video