Joint Mathematics Meetings Courses

Families

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

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

Mixing Surfaces, Algebra, and Geometry

Explore the interplay of surfaces, algebra, and geometry through Mirzakhani's theorem, taffy pullers, and mapping class groups in this engaging mathematical journey.

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

Extremal Singularities

Explore extremal singularities in algebraic geometry, focusing on hypersurface singularities, cone singularities, and their classification, with insights into cubic surfaces and characteristic p phenomena.

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

Understanding and Measuring Singularities in Algebraic Geometry

Explore algebraic geometry, focusing on singularities, smoothness, and resolution. Delve into key concepts like algebraic varieties, coordinate rings, and the Minimal Model Program.

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

Understanding Frameworks for Priority Arguments in Computability Theory

Explore frameworks for priority arguments in computability theory, focusing on partial computability, Turing reducibility, and infinite injury methods in mathematical logic.

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

Asymptotic and Multidimensional Asymptotic Classes of Finite Structures

Explore asymptotic classes in finite structures, from motivation to multidimensional applications, with insights on measurable structures and ultraproducts in this advanced mathematical lecture.

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

Descriptive Combinatorics and Distributed Algorithms

Explore connections between descriptive combinatorics and distributed algorithms, focusing on graph coloring problems and their applications in mathematics and computer science.

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

Codes from Polynomials Over Finite Fields

Explore polynomial-based coding theory, focusing on Reed-Solomon and Reed-Muller codes, their properties, and applications in error correction for reliable data transmission over noisy channels.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Groups with Bounded Geometry

Explore geometric groups, their properties, and connections to topology and transformation groups in this advanced mathematics lecture on groups with bounded geometry.

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

Computable Structure Theory with Noncomputable Structures

Explore computable structure theory, categoricity, and noncomputable structures in mathematics, focusing on fields and isomorphism types of subfields.

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