Wall-Crossing in Algebraic Geometry
Explore applications of Bridgeland stability conditions and wall-crossing techniques in algebraic geometry, advancing understanding of complex mathematical structures.
Efficient Approximation of Infinite-Dimensional Dynamical Systems in Finance
Explore advanced techniques for approximating complex dynamical systems in finance, focusing on efficient methods for infinite-dimensional problems and their applications.
Modelling of Disease Spread Through Heterogeneous Population
Explore spatial variability in disease spread using PDEs with state-dependent diffusion. Examine density-dependent infection rates and super-diffusive propagation, with a case study on coronavirus in Nova Scotia.
Advanced Course I: Schramm Loewner Evolution and Lattice Models - Lecture 2, Part 2
Explore advanced concepts in Schramm Loewner Evolution and lattice models, focusing on theoretical foundations and applications in mathematical physics and probability theory.
Schramm Loewner Evolution and Lattice Models - Advanced Course Lecture 1, Part 1
Explore Schramm Loewner Evolution and its connections to lattice models in this advanced mathematics lecture, delving into complex analysis and probability theory.
Felix Klein Lectures 2020: Quiver Moduli and Applications
Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
Quiver Moduli and Applications
Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.
Felix Klein Lectures 2020- Quiver Moduli and Applications
Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.
Basic Calculus for Engineers, Scientists and Economists
Comprehensive overview of calculus fundamentals, covering integration, derivatives, limits, sequences, and functions, tailored for professionals in engineering, science, and economics.
What Is Jacobian - The Right Way of Thinking Derivatives and Integrals
Explore the Jacobian matrix and determinant in multivariable calculus, rethinking derivatives and integrals for a deeper understanding of changing variables in higher dimensions.
Enriching Latent Class Models With Counterfactual Prediction - Mark Gilthorpe
Exploring counterfactual prediction in AI: enhancing prediction algorithms with 'what if' capabilities for improved decision-making and fairness in healthcare, insurance, and beyond.
Master the Product Rule - Calculus 1 Exercises
Comprehensive tutorial on mastering the product rule in calculus, featuring 20 practice problems of increasing difficulty covering various mathematical concepts and applications.
Linear Regression with One X-Variable - Lecture 21
Explore simple linear regression using R, learning its powerful applications and detailed implementation in data analysis.
Wall Crossing for Moduli of Stable Pairs
Explore wall crossing phenomena in moduli spaces of stable pairs, examining their geometric and algebraic properties and implications for birational geometry.
Numerical Integration Methods in Jupyter Notebook - Development Vlog 4
Explore numerical integration methods using Jupyter Notebook, comparing results and enhancing computational skills for physics research and problem-solving.
A Simple Microstructural Explanation of the Concavity of Price Impact
Explore a microstructural model explaining price impact concavity in financial markets, with insights on order flow, fundamental pricing, and meta-order execution dynamics.
John M. Keynes and Treatise on Probability - Prof. Simon Blackburn
Explore Keynes's Treatise on Probability, its scholarly depth, Russell's influence, and skepticism about mathematical applications. Examine Ramsey's critique and Keynes's response.
Dependence, Uncertainty, and Risk - Prof. Paul Embrechts
Explore quantitative risk management through extremal bounds for risk measures, focusing on uncertainty in interdependence between risk factors and its impact on portfolio analysis.
Robustness of G-Expectation under Knightian Uncertainty - Prof. Shige Peng
Explore G-Expectation's robustness in Knightian uncertainty, examining its applications in economics and probability theory. Gain insights into handling unpredictable outcomes in complex systems.
Probabilistic Numerical Computation - A New Concept?
Explore probabilistic numerics, a new field combining mathematics, statistics, and computer science to quantify uncertainty in numerical methods for complex data analysis and modeling.
The Perfect Bet - Mathematics of Gambling
Mathematician Adam Kucharski explores the mathematics, economics, and physics behind gambling, challenging the notion that the house always wins in this insightful Ri Science podcast.