Isaac Newton Institute for Mathematical Sciences Courses

Extraordinary Waves and Math: From Beaches to Photonics - Rothschild Lecture

Explore extraordinary waves, from historical solitary waves to modern solitons, and their applications in water, rogue waves, photonics, and cellular automata.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Metamaterials: Composite Materials with Striking Properties - Rothschild Lecture

Explore metamaterials with striking properties unlike their constituents, including negative thermal expansion and anisotropic mass density. Discover applications in stress guidance and cable networks.

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

The Legacy of Rudolph Kalman - Systematic Approaches to Data-Driven Predictive Modeling

Explore Rudolph Kalman's groundbreaking work on data-driven mathematical modeling and its impact on fields like space control, weather prediction, and AI. Gain insights into optimization and iteration concepts.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Random Rubber Bands: Evolution and Noise on Manifolds - Rothschild Lecture

Explore the evolution of random rubber bands on manifolds, delving into mathematical insights and algebraic structures arising from this intriguing model of noisy geodesic behavior.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Higher Algebra and Arithmetic - Rothschild Lecture

Explore higher algebra's impact on arithmetic, examining how counting processes influence number theory and cohomology, with applications in geometry and zeta functions.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Thomson's 5 Point Problem and Power-Law Potentials - Rothschild Lecture

Explore Thomson's 5 point problem and its phase transition constant through rigorous computer-assisted proof. Gain insights into electrostatic potential minimization and power-law potentials on spheres.

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

On Growth and Form and Mathematics: Reading D'Arcy Thompson 100 Years On - Rothschild Lecture

Explore the enduring impact of D'Arcy Thompson's "On Growth and Form" on modern science, examining its themes and relevance to understanding morphogenesis.

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

Large-scale Sea Ice Modeling: Societal Needs and Community Development

Explore large-scale sea ice modeling, its societal impact, and community development efforts. Learn about CICE model capabilities, analysis techniques, and addressing Earth's changing polar regions.

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

Image Compression with Differential Equations

Explore innovative image compression techniques using partial differential equations, combining mathematical modeling, optimization, and numerical methods for efficient data encoding and reconstruction.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Classification of von Neumann Algebras - Rothschild Lecture

Explore the dichotomy between amenability and non-amenability in von Neumann algebras, examining classification, rigidity theorems, and applications to group theory and probability spaces.

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

Left-orderability and 3-manifold Groups - Rothschild Lecture

Explore the connection between left-invariant total order in fundamental groups and geometric/analytic properties of 3-manifolds in this advanced topology lecture.

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

The Promise of Differential Privacy

Explore differential privacy's role in addressing false discoveries and privacy risks in big data analysis. Learn theoretical foundations and practical applications.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

The Hawaiian Plume: What Surface Observables Tell Us - Rothschild Lecture

Explore the Hawaiian plume's impact on surface observables through fluid mechanical models, revealing insights into mantle dynamics and intraplate volcanism.

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

Helping Doctors and Patients Make Sense of Health Statistics

Explore strategies for improving health numeracy among doctors and patients, enhancing informed decision-making in healthcare while potentially reducing costs.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Mathematics for Data-Driven Modeling - The Science of Crystal Balls

Explore data-driven modeling techniques that bypass traditional equation-based approaches, enabling direct analysis and prediction from observations in various scientific fields.

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