Higher Dimensions Courses and Certifications

Hausdorff Center for Mathematics

Louis Theran: Rigidity of Random Graphs in Higher Dimensions

Explore rigidity properties of random graphs in higher dimensions and their connection to matrix completion, with insights on thresholds and optimal conditions.

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

IMSA

Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions

Explore the connection between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories, leading to a correspondence between Donaldson-Thomas invariants and rational curve counts in higher dimensions.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

A Chabauty-Coleman-Caro-Pasten Bound in Higher Dimensions by Netan Dogra

Explore advanced techniques in arithmetic geometry, focusing on rational points on modular curves and higher-dimensional varieties using Chabauty-Coleman-Caro-Pasten methods.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

The Support of Semiclassical Measures in Higher Dimensions

Delve into semiclassical measures for Laplace eigenfunctions on hyperbolic manifolds, exploring support properties using fractal uncertainty principles and quantum cat maps as a model system.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Nash Blowup Fails to Resolve Singularities in Dimensions Four and Higher

Delve into groundbreaking research demonstrating why Nash blowups cannot resolve singularities in algebraic varieties of dimension 4+ over algebraically closed fields of arbitrary characteristic.

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

MUNI Seminar Series

Expanders in Higher Dimensions: From Local to Global Properties and Applications

Explore high-dimensional expanders, their local-to-global properties, and applications in coding theory, networking, and computational complexity.

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

Centrum Fizyki Teoretycznej PAN

Dynamical Monitoring in Higher Dimensions and the Emergence of Physical Realism

Explore dynamical monitoring in higher dimensions and its impact on physical realism in quantum systems. Gain insights into weak and strong measurements for qudits using Heisenberg-Weyl operators.

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

Institute for Quantum Computing

Optimizing Control of Quantum Information in Higher Dimensions

Explore optimal control of quantum information in higher dimensions, focusing on qutrit control and speed limits for two-qubit gates with weakly anharmonic qubits.

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

L'Institut Agro Rennes-Angers

Analyse des données multidimensionnelles

1 rating

Ce cours vise à comprendre, mettre en oeuvre et interpréter les résultats des méthodes fondamentales d'analyse exploratoire multidimensionnelle des données : ACP, AFC, ACM, classification et AFM

• France Université Numerique
• 25 hours
• Self-Paced
• Free Online Course

Stanford Seminar 2022 - DeepMind's Perceiver and Perceiver IO: New Data Family Architecture

Exploring DeepMind's Perceiver architecture for flexible AI processing across diverse data types, offering domain-general solutions comparable to specialized models in various tasks.

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

Stanford Seminar - Computing with High-Dimensional Vectors

Explore high-dimensional vector computing as a complement to traditional methods, bridging symbolic AI and neural nets. Learn about its operations, applications, and potential in machine learning and nanotechnology.

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

Mathologer

The Iron Man Hyperspace Formula Really Works - Hypercube Visualising, Euler's N-D Polyhedron Formula

Explore higher-dimensional spaces through mathematical miracles, Euler's polyhedron formula, hypercube visualization, and shadow play. Uncover connections to Iron Man and discover the power of (x+2) in geometry.

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

Numberphile

G-Conjecture - Numberphile

Explore h-vectors and the g-conjecture with mathematician June Huh, delving into higher-dimensional shapes, triangulation, and Euler's formula. Gain insights into complex mathematical concepts.

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

University of Tübingen

Mathematics for Machine Learning

Comprehensive exploration of linear algebra, calculus, probability theory, and statistics essential for machine learning, covering fundamental concepts to advanced applications.

• YouTube
• 1 day 17 hours
• Self-Paced
• Free Online Course

TED-Ed

Symmetry, Reality's Riddle

Explore the hidden mathematical beauty of symmetry in nature, art, and science with Oxford mathematician Marcus du Sautoy in this mind-expanding TED-Ed talk.

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