Equilibrium Existence in a Limited Participation Economy - BQE Lecture Series
Explore equilibrium existence in limited participation economies with Kim Weston. Learn about logarithmic preferences, exponential investors, and key assumptions in this advanced mathematical finance lecture.
PHYS 5531 - Midterm Review
Comprehensive review covering integration techniques, series analysis, and Fourier transforms, preparing students for advanced physics concepts and problem-solving.
Differential Equations
Explore advanced mathematical concepts including differential equations, focusing on specific sections like polar coordinates and complex analysis techniques.
A p-adic Approach to Differential Equations - Part II
Explore advanced mathematical concepts in this lecture on p-adic approaches to differential equations. Delve into the second part of Daniel Vargas-Montoya's presentation, delivered as part of the Workshop on "Algebraicity and Transcendence for Singular D…
A p-adic Approach to Differential Equations - Lecture 1
Explore a mathematical lecture on p-adic approaches to differential equations in this first installment of a series presented by Masha Vlasenko. Delivered as part of the Workshop on "Algebraicity and Transcendence for Singular Differential Equations" at…
QSS: A Solver for Large Sparse Stiff Discontinuous Systems
Explore a conference talk on QSS (Quantized State System), a solver designed for large sparse stiff discontinuous systems. Delve into the fundamental differences between classic methods and QSS algorithms, focusing on the concept of quantum Δ and its rol…
Diffusion Models and Score-Based Generative Models Explained - From Scratch
Dive into a comprehensive 38-minute video lecture on Diffusion Models, exploring them through the lens of Score-Based Generative Models. Gain a deeper intuition for diffusion models, visualize key concepts, and understand the connections between differen…
Mathematical Modelling of Oncolytic Virotherapy
Explore the intricacies of mathematical modeling in oncolytic virotherapy through this 48-minute lecture by Thomas Hillen from the University of Alberta. Delve into advanced concepts at the intersection of computational and mathematical medicine, with a…
Curing Cancer with Calculus - Lecture 3
Explore the intersection of mathematics and cancer research in this 58-minute distinguished lecture by Helen Byrne from the University of Nottingham and University of Oxford. Delve into the innovative application of calculus in oncology as part of the Fr…
Modelling Cancer Radiotherapy: Fractional vs Ordinary Differential Equations
Explore a 19-minute conference talk on modeling cancer radiotherapy, comparing fractional and ordinary differential equations. Delivered by Kathleen Wilkie from Toronto Metropolitan University on September 23, 2024, as part of the Frontiers in Computatio…
Insights into B Cell and Antibody Kinetics Against SARS-CoV-2 Variants Using Mathematical Modelling
Explore the dynamics of B cell and antibody responses to SARS-CoV-2 variants through mathematical modeling in this 18-minute conference talk. Gain valuable insights as speaker Suzan Farhang-Sardroodi from the University of Toronto presents her research f…
A Mathematical Model of Evolution of Drug-Induced Resistance
Explore a 55-minute lecture on the mathematical modeling of drug-induced resistance evolution, presented by Eduardo Sontag from Northeastern University. Delve into the complex interplay between cancer treatment and the development of drug resistance, as…
Mathematical Modeling of Blood Cancer and Premalignancy
Explore a 33-minute lecture on mathematical modeling of blood cancer and premalignancy presented by Morten Andersen and Jordan Snyder from Roskilde University. Delivered on October 3, 2024, as part of the Ecology and Evolution of Cancer series and the Th…
Fighting Drug Resistance with Math
Explore a compelling lecture on combating drug resistance through mathematical approaches. Delve into the innovative research presented by Doron Levy from the University of Maryland College Park as part of the Thematic Program on Mathematical Oncology. G…
Differential Equations, Geometry and Arithmetic - Lecture 2
Explore advanced concepts in differential equations, geometry, and arithmetic with a focus on algebraicity and transcendence in singular differential equations.
Differential Equations, Geometry and Arithmetic - Lecture 1
Explore connections between differential equations, geometry, and arithmetic in this advanced mathematics lecture by Duco van Straten.
Closure of Orbits of the Pure Mapping Class Group on the Character Variety
Explore the pure mapping class group's action on character varieties, examining orbit closures and their implications for various mathematical contexts and applications.
Serrin's Overdetermined Problem in Rough Domains
Explore Serrin's overdetermined theorem extension to rough domains, including Lipschitz and finite perimeter sets, with insights on slit discontinuities and density bounds.
Dimension-Free Sobolev-Type Embeddings in the Gauss Space
Explore dimension-free Sobolev-type embeddings in Gauss space, extending Gross' logarithmic Sobolev inequality and examining Orlicz spaces, higher-order derivatives, and Gaussian isoperimetric inequality.
Sensitivity, Spatial Models, and Fokker-Planck Equations in Mathematical Oncology - Graduate Course
Dive into advanced mathematical concepts in oncology, exploring sensitivity analysis, spatial modeling, and Fokker-Planck equations with Dr. Thomas Hillen.
A Short but Up-to-Date Introduction to Partially Parabolic or Dissipative Systems - Lecture 3
Delve into partially parabolic or dissipative systems in fluid mechanics. Explore recent developments, mathematical techniques, and applications in this advanced lecture on fluid flow equations.