Homologies Courses and Certifications

An introduction to biological systematics

This free course, An introduction to biological systematics, is concerned with macroevolution the patterns and processes of evolution above the species level. A crucial consideration in ...

• OpenLearn
• 5 hours
• On-Demand
• Free Certificate

Insights into Mathematics

An Introduction to Homology - Algebraic Topology

Explore the concept of homology and higher homotopy groups in less than an hour with Insights into Mathematics. Understand cycles, spanning trees, and zero-dimensional chains.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

The Fundamental Group of 2-Dimensional Random Cubical Complexes

Explore the fundamental group of random 2-dimensional cubical complexes with Applied Algebraic Topology Network. Less than 1-hour study on structure and free factorization.

• YouTube
• 27 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Modeling Shapes and Fields - A Sheaf Theoretic Perspective

Explore modeling shapes and fields via topological transforms with the Applied Algebraic Topology Network. Learn to use the Euler Characteristic Transform for statistical analysis in under 1 hour.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Homology of Graphs and Hypergraphs

Explore the topological structure of graphs and hypergraphs with Emilie Purvine's talk, offered by the Applied Algebraic Topology Network. Delve into recent results on homology, including persistent homology of metric graphs.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Antonio Rieser - Algebraic Topology for Graphs and Mesoscopic Spaces

Explore the algebraic topology of mesoscopic spaces and graphs in this less than 1-hour talk by Antonio Rieser, offered by the Applied Algebraic Topology Network.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Torsion Homology Growth and Related Topics

Explore torsion homology growth and related topics in less than an hour with the Applied Algebraic Topology Network. Dive into Betti numbers, amenable category, and minimal volume entropy.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Homology of Sliding-Squares Configuration Spaces

Explore the homology of sliding-squares configuration spaces in less than an hour with the Applied Algebraic Topology Network. Joint work with renowned mathematicians.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

QuantumTopology

Homology of Jucys Murphy Elements and the Flag Hilbert Scheme

Dive into QuantumTopology's brief study on E. Gorsky's Homology of Jucys Murphy elements and the flag Hilbert scheme.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

QuantumTopology

Homology of Yang-Baxter Operators and Search for (Co)Cycle Invariants of Knots

Explore the homology of Yang-Baxter operators and knot invariants in under an hour with QuantumTopology.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Computing Optimal Homotopies

Explore the measurement of curve similarity in various settings with the Applied Algebraic Topology Network. Understand homotopy-based measures, their properties, and computation complexities.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Žiga Virk - Information Encoded in Persistence Diagrams

Explore the interpretation of persistence diagrams in relation to underlying space properties with the Applied Algebraic Topology Network. Less than 1-hour workload.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Matthew Kahle - Topology of Configuration Spaces of Hard Spheres

Explore the topology of hard spheres configuration spaces with Matthew Kahle's material from the Applied Algebraic Topology Network. Expect 1-2 hours of study.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Data Complexes, Obstructions, Persistent Data Merging

Explore the mathematical foundation of data-alignment tools with the Applied Algebraic Topology Network. Learn about database JOIN operations, topological obstructions, and data complexes in under an hour.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Sanjeevi Krishnan - Homological Programming

Dive into Homological Programming with the Applied Algebraic Topology Network. In less than an hour, explore topics like positive cones in vector spaces, directed topology, and cubical sets.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course