Isaac Newton Institute for Mathematical Sciences Courses

Bridging the Divide: From Matrix to Tensor Algebra for Optimal Approximation and Compression

Explore tensor algebra and its advantages over matrix-based approaches for data compression and analysis. Learn about novel tensor-tensor products and their applications in various fields.

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

When Data Driven Reduced Order Modeling Meets Full Waveform Inversion - Rothschild Lecture

Explore innovative approaches to velocity estimation in wave equation inverse problems, focusing on data-driven reduced order modeling and its application to full waveform inversion.

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

The Miracle of Tomography - Rothschild Lecture

Explore the diverse applications and mathematical techniques of tomography, from medical imaging to geophysics, with Professor Peter Kuchment's comprehensive overview of this fascinating field.

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

From Quantum Entanglement to Future Data-Driven Engineering - Rothschild Lecture

Explore high-dimensional Bayesian statistics in engineering, focusing on efficient data-physical model integration and uncertainty quantification. Learn about multilevel MCMC and measure-transport approaches.

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

Uncertainty Quantification for Bayesian Inverse Problems - Efficient Methods in the Small Noise Regime

Explore efficient methods for uncertainty quantification in Bayesian inverse problems, focusing on small noise regimes and data-driven engineering applications.

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

A Mathematical Toolkit for Pandemics

Explore mathematical tools for understanding and managing pandemics with Prof. Julia Gog. Gain insights into modeling, data analysis, and decision-making strategies for infectious disease outbreaks.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Control of Water Waves by Metamaterial-Based Devices

Explore innovative metamaterial-based devices for controlling water waves, presented by Dr. Agnes Maurel in this Kirk Lecture at the Isaac Newton Institute.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

From Newton's Law to Many-Particle Systems - Rothschild Lecture

Explore Newton's laws of motion and gravitation through examples, examining differential equations, many-particle systems, and their large-scale behavior from numerical and analytical perspectives.

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

Population Dynamics and Black Spots on the Sun - Rothschild Lecture

Explore population dynamics theory, analyzing KPP equations and moment equations to understand irregularities in real populations and magnetic fields of stars.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

The Mathematical Universe Behind Deep Neural Networks - Rothschild Lecture

Explore the mathematical foundations of deep neural networks, covering functional analysis, harmonic analysis, complex analysis, approximation theory, and more with Professor Helmut Bölcskei.

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

Cluster Algebras and Representation Theory - Rothschild Lecture

Explore cluster algebras' definition, impact on representation theory, and ongoing research. Gain insights into this influential mathematical concept and its wide-ranging applications.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Elliptic Curves Associated to Two-Loop Graphs and Feynman Diagrams - Rothschild Lecture

Explore elliptic curves in two-loop Feynman diagrams, examining their emergence in cubic hypersurfaces and potential connections to elliptic dilogarithms in quantum field theory amplitudes.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

What Do We Agree on When We Disagree? Forward Contracts with Private Forecasts - Rothschild Lecture

Explore forward contracts, risk aversion, and price forecasting in energy markets. Analyze negotiation methods and equilibrium concepts for bilateral agreements between firms with differing views.

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

Hamiltonian Monte Carlo and Geometric Integration

Explore Hamiltonian Monte Carlo sampling algorithm, its applications, and underlying concepts from statistical physics, geometric integration, Bayesian statistics, and Hamiltonian dynamics.

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

Optimality of Algorithms for Approximation and Computation - Rothschild Lecture

Explore optimality in approximation and computation algorithms with Prof. Ronald DeVore's in-depth analysis of mathematical techniques and their applications in data science.

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