Solving PDEs in Domains with Complex Evolving Morphology - Rothschild Lecture
Explore mathematical challenges in solving PDEs on evolving domains, focusing on biological applications. Learn abstract frameworks, well-posedness theory, and numerical methods for complex geometries.
Random Maps and Random 2-Dimensional Geometries
Explore random maps and 2D geometries, examining scaling limits, combinatorial tools, and connections to conformal random fields. Gain insights into discrete random metric surfaces and their convergence properties.
Disordered Systems and Related Spectra - Rothschild Lecture
Explore disordered systems and spectral theory, focusing on Schrodinger operators with random potential and large random matrices.
Beyond the Infinite: Exploring Set Theory and the Continuum Hypothesis - Rothschild Lecture
Explore the evolution of Set Theory, from Cantor's foundational work to modern challenges, and discover recent developments suggesting a resolution to fundamental dilemmas in infinity.
What Makes a Surface "Optimal" - Rothschild Lecture
Explore the concept of optimal surfaces in mathematics, examining stability, regularity, and propagation properties across various applications like minimal surfaces and game theory.
Admitting Uncertainty: On the Role of Probability in Finance - Rothschild Lecture
Explore the role of probability in finance, focusing on model uncertainty and its impact on risk assessment. Gain insights into advanced probabilistic methods and their implications for the financial industry.
Nonlocal Evolution Equations - Rothschild Lecture
Explore nonlocal evolution equations, focusing on Surface Quasi-Geostrophic equation and its generalizations. Examine regularity, long-term dynamics, and dissipation in 2D SQG.
Non-Local Differential Operators in Probability - Kirk Lecture
Explore non-local differential operators in probability theory, focusing on fractional-order operators and their applications in stochastic processes, anomalous diffusions, and renewal theory.
Hasse Principle for Simply Connected Groups - Kirk Lecture
Explore the Hasse principle for simply connected groups, its significance in number fields, and recent progress in function fields of curves over p-adic fields.
Cluster Algebras and Related Notions - Kirk Lecture
Explore cluster algebras and related mathematical concepts through a single illustrative picture, connecting various fields and interpretations in this comprehensive lecture.
The Mathematics of Shuffling - Kirk Lecture
Explore the mathematics behind card shuffling, from perfect shuffles to generalized models, and their implications for permutations and group theory in this engaging lecture.
Variational Methods in Image Processing and Advanced Materials Analysis - Kirk Lecture
Explore variational methods in image processing and advanced materials analysis, focusing on density measures, image denoising, and quantum dot formation in semiconductors.
Three Character Archetypes in Energy Optimization - Kirk Lecture
Explore the intersection of pure and applied mathematics in energy optimization through three key figures: Newton, Lagrange, and Moreau. Gain insights into sustainable electricity management.
Managing Bottlenecks Using Diffusion and Reflection
Explore bottleneck management through diffusion and reflection in this lecture by Professor Ruth Williams, addressing stochastic systems and anomalous diffusion.
On Archimedes' Principle - Rothschild Public Lecture
Explore Archimedes' Principle with Professor Krzysztof Burdzy in this Rothschild Public Lecture. Gain insights into stochastic systems and anomalous diffusion in mathematical sciences.
Counting Curves: Which, How and Why - Kirk Public Lecture
Explore enumerative geometry's evolution, from classical problems to modern developments influenced by string theory, highlighting connections to various mathematical fields.
Moduli Problems and Abelianization in Algebraic and Differential Geometry
Explore moduli spaces in algebraic and differential geometry, focusing on abelianization processes for parametrizing structures with internal symmetries. Gain insights into classical moduli problems.
Data-Driven Modelling of Collective Cell Motility - Kirk Lecture
Explore data-driven modeling techniques for collective cell motility with Prof. Ruth Baker. Gain insights into interdisciplinary approaches in animal ecology and cell biology.
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.
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.
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.