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The Series Finale of Online Education: Coursera Acquires Udemy

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Explore algebraic topology through homology theory, learning to analyze shapes, knots, and geometric structures using mathematical invariants. Access advanced mathematics lectures from Oxford, Cambridge, and research institutes on YouTube, covering applications from graph theory to quantum physics and computational topology.

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Applied Algebraic Topology Network
Applied Topology - Topological Data Analysis 2021

Explore topological data analysis through homology, persistent homology, clustering methods, and dimensionality reduction techniques for understanding dataset shapes and structures.
- YouTube
- 4 hours 12 minutes
- On-Demand
- Free Video
Applied Algebraic Topology Network
Applied Topology - Introduction to Topological Data Analysis - 2020

Explore topological data analysis fundamentals through whiteboard lectures covering simplicial complexes, persistence diagrams, and statistical applications for undergraduates.
- YouTube
- 2 hours 35 minutes
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ICTP Mathematics
Algebraic Topology

Master algebraic topology fundamentals through comprehensive lectures covering topological spaces, homotopy theory, and homological methods in this ICTP diploma program.
- YouTube
- 15 hours 42 minutes
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- Free Video
Algebraic Topology - Algebraic Invariants of Spaces

Explore algebraic invariants of topological spaces including fundamental groups, higher homotopy groups, homology, and cohomology with their homotopy invariance properties.
- YouTube
- 55 minutes
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- Free Video
Algebraic Topology - Chains, Cycles, and Homology Classes

Explore homology fundamentals through chains, cycles, and homology classes with intuitive examples and visual demonstrations from Oxford's advanced topology curriculum.
- YouTube
- 57 minutes
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ICTP Mathematics
Topology - Lecture 10

Explore advanced concepts in topology, including complex geometric structures and their properties, in this comprehensive lecture by mathematician Bruno Zimmerman.
- YouTube
- 1 hour 29 minutes
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ICTP Mathematics
Topology - Lecture 12

Explore advanced concepts in topology, including complex geometric structures and their properties, in this comprehensive lecture by mathematician Bruno Zimmerman.
- YouTube
- 1 hour 40 minutes
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ICTP Mathematics
Topology - Lecture 8

Explore fundamental concepts and advanced techniques in topological spaces, manifolds, and algebraic topology with expert guidance from Bruno Zimmerman.
- YouTube
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Discover AI
Mathematical Shape of AI Thoughts - Topology and Homology

Discover how topological data analysis reveals the geometric structure of AI reasoning, distinguishing accurate logic from hallucinations through mathematical manifolds and homology.
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- 21 minutes
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- Free Video
Fields Institute
Correspondences, K-Theory and Homology for Étale Groupoids

Explore advanced mathematical concepts in étale groupoids, focusing on correspondences, K-theory, and homology. Gain insights from expert Alistair Miller in this specialized seminar.
- YouTube
- 49 minutes
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Applied Algebraic Topology Network
Data Complexes, Obstructions, Persistent Data Merging

Explore data complexes, topological obstructions in database JOIN operations, and persistence levels in data alignment. Learn about measure theory, homotopy, and homology in the context of data integration.
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- 54 minutes
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Applied Algebraic Topology Network
Antonio Rieser - Algebraic Topology for Graphs and Mesoscopic Spaces

Explore algebraic topology for graphs and mesoscopic spaces, covering homotopy, homology, and metric cohomology. Learn about pseudotopological spaces and their applications in various mathematical categories.
- YouTube
- 54 minutes
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- Free Video
Applied Algebraic Topology Network
Torsion Homology Growth and Related Topics

Explore torsion homology growth in compact CW complexes, examining Betti number growth in finite covers and connections to amenable category and minimal volume entropy.
- YouTube
- 52 minutes
- On-Demand
- Free Video
Applied Algebraic Topology Network
Homology of Sliding-Squares Configuration Spaces

Explore homology of sliding-squares configuration spaces, comparing point and square configurations in planes and rectangles. Discover surprising growth patterns in homology group ranks.
- YouTube
- 51 minutes
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Applied Algebraic Topology Network
The Fundamental Group of 2-Dimensional Random Cubical Complexes

Explores fundamental groups in random 2D cubical complexes, analyzing their behavior and structure at different probability thresholds. Insights into topology and percolation theory.
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- 27 minutes
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