Fields Institute Courses

Optimal and Differentially Private Data Acquisition: Central and Local Mechanisms

Explore central and local mechanisms for optimal and differentially private data acquisition, focusing on theoretical foundations and practical applications in statistical analysis.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Mathematical Models of Infectious Diseases - Consequences of Underlying Assumption

Explore the impact of underlying assumptions in mathematical models of infectious diseases, examining their consequences for disease dynamics and control strategies.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Differentially Private Simple Linear Regression

Explore advanced techniques for protecting data privacy in statistical analysis, focusing on simple linear regression methods and their applications.

• YouTube
• 37 minutes
• On-Demand
• Free Video

On the Complexity of Two-Party Differential Privacy

Explore the intricacies of two-party differential privacy, examining its complexity and implications for data analysis and privacy protection in collaborative settings.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Efficient Mean Estimation with Pure Differential Privacy via a Sum-of-Squares Exponential Mechanism

Explore efficient mean estimation techniques using pure differential privacy and sum-of-squares exponential mechanism, advancing statistical data analysis with privacy considerations.

• YouTube
• 30 minutes
• On-Demand
• Free Video

The Sum-of-Squares Method

Explore advanced techniques in polynomial optimization and algorithm design, focusing on the powerful Sum-of-Squares method and its applications in various mathematical fields.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Introduction to Cosmological Perturbation Theory

Explore the foundations of cosmological perturbation theory, examining how small fluctuations in the early universe evolved into large-scale structures we observe today.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

A Nonsmooth Approach to Einstein's Theory of Gravity

Explore a novel nonsmooth approach to Einstein's theory of gravity, delving into advanced concepts in physics and geometry with expert Robert McCann.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Timelike Curvature-Dimension Conditions for Lorentzian Spaces via Rényi's Entropy

Explore timelike curvature-dimension conditions in Lorentzian spaces using Rényi's entropy, advancing understanding of low regularity physics and geometry in spacetime.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Monomial Ideals Arising from Graph Theory and Coding Theory

Explore connections between monomial ideals, graph theory, and coding theory in this advanced mathematics talk by Keri Sather-Wagstaff from Clemson University.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Embedding DM Stacks into GIT Quotient Stacks of Linear Representations

Explore the embedding of Deligne-Mumford stacks into geometric invariant theory quotient stacks, focusing on linear representations in algebraic geometry.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Recent Advances on Variants of the F-Signature

Explore recent developments in F-signature variants, focusing on mathematical advancements and their implications in algebraic geometry and commutative algebra.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Moduli Spaces in Tropical Geometry

Explore moduli spaces in tropical geometry, examining their structure and applications in algebraic geometry, with insights from Brown University expert Melody Chan.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Stochastic Modeling and Analysis for Epidemic Models With Loss of Immunity

Explore stochastic modeling techniques for epidemic analysis, focusing on scenarios involving loss of immunity. Gain insights into advanced mathematical approaches for disease spread prediction.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Motivic Hochschild Homology Over Algebraically Closed Fields

Explore Hochschild homology in motivic spectra, uncovering torsion classes and connections to Steenrod algebra. Gain insights into algebraic geometry and homotopy theory applications.

• YouTube
• 33 minutes
• On-Demand
• Free Video