Sphere Packing Courses and Certifications

International Centre for Theoretical Sciences

Introduction to Sphere Packing Problems by Abhinav Kumar

Explore sphere packing in geometry, covering its history, applications, and recent advances. Learn about lattices, codes, bounds, and energy minimization in various dimensions.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

PixelAffair

Cinema 4D Non-Intersecting Clones with Surface Scale Blue Noise - Circle and Sphere Packing

Master Cinema 4D's surface scale blue noise distribution to create non-intersecting clones, apply materials, and render professional results using Redshift and scene nodes.

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

BIMSA

The Sphere Packing Problem

Discover the mathematical elegance of sphere packing through Maryna Viazovska's groundbreaking work on optimal arrangements in high-dimensional spaces.

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

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days

Explore advanced discrete mathematics and number theory applications in theoretical physics through expert lectures on combinatorial structures, algebraic geometry, and computational methods.

• YouTube
• 16 hours 14 minutes
• On-Demand
• Free Video

Grasshopper Tutorials

GRASSHOPPER - Learn Kangaroo Physics and Meshes

Master Kangaroo Physics and mesh geometries in Grasshopper through hands-on tutorials covering patterns, collisions, sphere packing, and wind simulations.

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

Fields Institute

Maximally Dense Sphere Packings

Explore optimal arrangements of disks in 2D and higher dimensions, focusing on recent findings for multiple disk sizes. Survey of results accessible to a broad audience.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

International Mathematical Union

Oded Regev: The Reverse Minkowski Theorem

Explore the Reverse Minkowski Theorem, its applications, and open questions in lattice theory with mathematician Oded Regev in this insightful mathematical lecture.

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

International Centre for Theoretical Sciences

Modular Forms by Mahesh Kakde

Comprehensive exploration of modular forms, covering definitions, properties, and applications. Delves into Eisenstein series, theta functions, and related mathematical concepts for advanced learners in number theory.

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

International Centre for Theoretical Sciences

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

Explores techniques for computing densest lattice packings, including quadratic forms, Hermite constants, and reduction theory. Covers perfect forms, eutactic lattices, and Voronoi's algorithm for listing perfect forms.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Linear Programming Bounds for Hyperbolic Surfaces

Explore new upper bounds on geometric and spectral invariants of closed hyperbolic surfaces using the Selberg trace formula and linear programming techniques.

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

Isaac Newton Institute for Mathematical Sciences

Thomson's 5 Point Problem and Power-Law Potentials - Rothschild Lecture

Explore Thomson's 5 point problem and its phase transition constant through rigorous computer-assisted proof. Gain insights into electrostatic potential minimization and power-law potentials on spheres.

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

Institut des Hautes Etudes Scientifiques (IHES)

Random Lattices as Sphere Packings

Explore lattice-sum functions and their applications in sphere packing density, including Siegel's mean value theorem and recent advancements in optimal packing bounds.

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

Simons Institute

Back to the Future: The Evolution of Coding Theory Through Reed Muller Codes

Explore the evolution of coding theory through Reed Muller codes, from sphere packing to iterative algorithms and quantum computing applications.

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

Applied Algebraic Topology Network

Polytopal Crystallographic Sphere Packings for Geometric Knot Theory and Fractal Modeling

Explore polytopal crystallographic sphere packings and their applications in geometric knot theory and fractal modeling with customizable lacunar polygons.

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

Isaac Newton Institute for Mathematical Sciences

Mathematical Art and Anomalous Diffusion Patterns - Episode 70

Discover how mathematics, nature and art intertwine through anomalous diffusion patterns, exploring winning sci-art competition entries from coffee to quantum mechanics with researcher Codina Cotar.

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