Joint Mathematics Meetings Courses

Ideals and Varieties of the Pinhole Camera

Explore the mathematics behind pinhole cameras, from historical context to modern applications in reconstruction and invariant theory, with insights into projective geometry and cubic surfaces.

• YouTube
• 49 minutes
• On-Demand
• Conference Talk

Sharp Inequalities in Probability and Harmonic Analysis

Explore sharp inequalities in probability and harmonic analysis, covering motivations, history, proofs, and applications in stochastic integrals and numerical approximations.

• YouTube
• 59 minutes
• On-Demand
• Conference Talk

Metric Representations - Algorithms and Geometry

Explore metric representations, algorithms, and geometry in this lecture covering multidimensional scaling, metric repair, optimization techniques, and dimensionality reduction.

• YouTube
• 56 minutes
• On-Demand
• Conference Talk

Spatial Data Analysis for Public Health

Explore spatial data analysis techniques for public health, focusing on disease surveillance, outbreak detection, and global patterns in health data.

• YouTube
• 55 minutes
• On-Demand
• Conference Talk

Tame Geometry for Hodge Theory

Explore tame geometry's role in Hodge Theory, covering major advances, definable structures, and key theorems. Gain insights into geometric variation and functional transcendence in this advanced mathematics lecture.

• YouTube
• 52 minutes
• On-Demand
• Conference Talk

Interest Convergence - An Analytical Viewpoint for Examining How Power Dictates Policies and Reforms in Mathematics

Explore how power dynamics shape mathematics policies and reforms through an analytical lens of interest convergence, examining historical perspectives and social conditions.

• YouTube
• 55 minutes
• On-Demand
• Conference Talk

The Kakeya Needle Problem for Rectifiable Sets

Explore the Kakeya needle problem for rectifiable sets, covering basic theorems, discrete sets, differential structures, and dimensions, with insights from mathematician Marianna Csőrnyei.

• YouTube
• 54 minutes
• On-Demand
• Conference Talk

The Stability of Black Holes with Matter

Explore the stability of black holes with matter in this advanced mathematics lecture, covering spacetime, light cones, and gravitational electromagnetic radiation.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

Mathematics and the Quest for Vaccine-Induced Herd Immunity Threshold

Explore mathematical models for vaccine-induced herd immunity, analyzing factors like R0, vaccine efficacy, and population heterogeneity to understand COVID-19 implications and future research directions.

• YouTube
• 57 minutes
• On-Demand
• Conference Talk

Families

Explore hyperbolic geometry, from asteroids to higher dimensions, in this engaging lecture on mathematical families and their fascinating properties.

• YouTube
• 54 minutes
• On-Demand
• Conference Talk

Euclidean Lines on Hyperbolic Manifolds

Explore Euclidean lines on hyperbolic manifolds, from basic models to complex surfaces, with insights on rigidity theorems and dynamical systems in this advanced mathematics lecture.

• YouTube
• 46 minutes
• On-Demand
• Conference Talk

Emergent Behavior in Collective Dynamics

Explore emergent behavior in collective dynamics, from opinion formation to flocking. Learn about alignment, communication kernels, and hydrodynamic descriptions in various fields like biology and crowd dynamics.

• YouTube
• 48 minutes
• On-Demand
• Conference Talk

Field Patching and Algebraic Structures

Explore field patching techniques and their applications in algebraic structures, number fields, and algebraic groups, with insights on local-to-global principles and modern developments.

• YouTube
• 43 minutes
• On-Demand
• Conference Talk

Interacting Stochastic Processes on Random Graphs

Explore interacting stochastic processes on random graphs, covering models like voter and neuronal hox, and examining challenges in sparse regimes and local convergence.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Conference Talk

Analysis and Applications of Nonlocal Models

Explore nonlocal models in mathematics, their analysis, and applications. Learn about nonlocal vector calculus, operators, and numerical solutions for finite-range interactions.

• YouTube
• 44 minutes
• On-Demand
• Conference Talk