Topology Courses and Certifications

mario @ elementza

7 Tips to Master 3D Modeling Skills - From Basics to Advanced Techniques

Master essential 3D modeling techniques with practical tips on hotkeys, topology, proportions, and workflow optimization. Build a reference library and gain confidence through hands-on practice and case studies.

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

mario @ elementza

Complex Shapes in 3D Modeling - A Beginner's Guide

Master essential techniques for breaking down and modeling complex 3D shapes, from initial analysis to practical implementation, helping you tackle challenging geometric structures with confidence.

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

Mathologer

Archimedes' Claw and Carousel - Upgrading Ancient Discoveries

Explore Archimedes' mathematical discoveries upgraded after 2000 years, including the baggage carousel concept, inside-out animations, and the fascinating Archimedes' claw.

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

Domain of Science

A New Kind of Quantum Computer - The Map of Topological Quantum Computing

Explore Microsoft's innovative topological quantum computing approach, featuring Majorana quasiparticles and exotic superconductivity. Learn about noise reduction, chip fabrication, and the potential for groundbreaking advancements in quantum technology.

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

Numberphile

Mathematical Knot Surfaces and Their Properties

Explore the fascinating intersection of mathematics and crochet as experts Sophie Maclean and Ayliean MacDonald demonstrate how knot theory relates to surfaces and topology through hands-on examples.

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

NPTEL-NOC IITM

Limits and Continuity - Lecture 3

Explore limits and continuity concepts in calculus, enhancing mathematical understanding and problem-solving skills.

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

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - Lecture 2

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.

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

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - Lecture 1/24

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.

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

Discover AI

DeepSeek's New Topological Transformer - Manifold-Constrained Hyper-Connections

Explore DeepSeek's revolutionary topological transformer featuring Manifold-Constrained Hyper-Connections and the Sinkhorn-Knopp algorithm for advanced AI architecture.

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

Institute for Advanced Study

Workshop on the H-Principle and Beyond

Explore advanced mathematical concepts through expert lectures on h-principle theory, differential geometry, fluid dynamics, and symplectic structures in this comprehensive workshop.

• YouTube
• 19 hours 32 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Virtual Workshop on Recent Developments in Geometric Representation Theory

Explore cutting-edge research in geometric representation theory through expert lectures on quantum groups, perverse sheaves, and algebraic structures.

• YouTube
• 19 hours 37 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Motivic Homotopy Theory

Explore advanced mathematical concepts connecting algebraic geometry, topology, and arithmetic through motivic homotopy theory with leading experts in this specialized field.

• YouTube
• 1 day 23 hours 16 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Introduction to Gauge Theory

Dive into gauge theory fundamentals through comprehensive mathematical lectures covering connections, curvature, and applications in modern geometry and physics.

• YouTube
• 4 hours 46 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Between Geometry and Relativity - Summer School

Explore advanced mathematical physics connecting differential geometry with Einstein's general relativity through expert lectures on initial data construction, energy theorems, and spacetime dynamics.

• YouTube
• 14 hours 42 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (2025)

Explore cutting-edge developments in hyperbolic geometry and group theory through expert lectures and hands-on minicourses from leading mathematicians worldwide.

• YouTube
• 1 day 6 hours 39 minutes
• On-Demand
• Free Video