Joint Mathematics Meetings Courses

Proving Algebraic Identities

Explore algebraic identities, complexity, and invariant theory with Avi Wigderson in this advanced mathematics lecture on proving and understanding polynomial relationships.

• YouTube
• 54 minutes
• Self-Paced
• Conference Talk

Searching for Hyperbolicity

Explore geometric group theory and hyperbolicity in mathematics with Ruth Charney's insightful lecture, covering key concepts and their applications in various geometric spaces.

• YouTube
• 52 minutes
• Self-Paced
• Conference Talk

Algebraic Structures on Polytopes

Explore algebraic structures on polytopes, delving into combinatorics, Hopf monoids, and generalized permutahedra. Gain insights into mathematical applications and current research directions.

• YouTube
• 58 minutes
• Self-Paced
• Conference Talk

Topological Modeling of Complex Data

Explore topological modeling for complex data analysis, covering hierarchical clustering, network building, and applications in diabetes, cancer research, and finance.

• YouTube
• 55 minutes
• Self-Paced
• Conference Talk

Groups, Graphs and Algorithms

Explore the intersection of group theory, graph theory, and algorithms with László Babai, delving into topics like graph irregularity, canonical coloring, and string isomorphism.

• YouTube
• 50 minutes
• Self-Paced
• Conference Talk

Alternate Minimization and Scaling Algorithms - Theory, Applications and Connections Across Mathematics and Computer Science

Explore alternate minimization and scaling algorithms, their applications, and connections across mathematics and computer science with Avi Wigderson's in-depth lecture.

• YouTube
• 52 minutes
• Self-Paced
• Conference Talk

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Conference Talk