Mathematics - Algebraic Topology

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Algebraic Topology Understanding Digraphs and Path Homology

A look into how digraphs help analyze complex systems.

Jingyan Li, Yuri Muranov, Jie Wu

2025-04-25T01:37:18+00:00 ― 5 min read

Latest Articles

Algebraic Topology Transforming Data Analysis with Distilled Vietoris-Rips Filtration

A new method simplifies big data analysis using persistent homology.

Musashi Ayrton Koyama, Vanessa Robins, Katharine Turner

2025-03-25T02:20:00+00:00 ― 6 min read

General Topology The Intricacies of Shapes in Topology

Explore the fascinating world of shapes and their connections in topology.

Diego Mondéjar

2025-03-24T07:41:10+00:00 ― 5 min read

Algebraic Topology Unraveling Algebraic Topology: A Deep Dive

Explore the fascinating world of algebraic topology and its structures.

Rodrigo Santos Monteiro

2025-03-07T08:06:40+00:00 ― 6 min read

Algebraic Topology The Kervaire Invariant: A Milestone in Topology

New findings reveal smooth framed manifolds in dimension 126.

Weinan Lin, Guozhen Wang, Zhouli Xu

2025-03-07T00:07:10+00:00 ― 4 min read

Algebraic Topology Decoding the Last Kervaire Invariant Problem

Recent advancements shed light on a long-standing math mystery.

Weinan Lin, Guozhen Wang, Zhouli Xu

2025-03-06T21:27:20+00:00 ― 6 min read

Algebraic Topology Understanding Coarse Geometry: A Big Picture Perspective

Discover the fascinating world of coarse geometry and its key concepts.

Ulrich Bunke

2025-03-06T13:27:50+00:00 ― 7 min read

Quantum Physics Contextuality in Quantum Physics Explained

Discover how measurement context shapes outcomes in quantum mechanics.

Aziz Kharoof

2025-03-03T11:31:36+00:00 ― 7 min read

Algebraic Topology The Joy of Rational Excisive Functors

Discover the delightful world of rational excisive functors in mathematics.

David Barnes, Magdalena Kędziorek, Niall Taggart

2025-03-02T02:54:30+00:00 ― 7 min read

Algebraic Topology The World of Digital Topology: Connecting Pixels

Discover the fascinating connection between digital images and topology concepts.

Melih İs, İsmet Karaca

2025-03-01T21:34:50+00:00 ― 8 min read

Algebraic Topology Understanding Graded Frobenius Algebras

A look at graded Frobenius algebras and their mathematical connections.

Jonathan Clivio

2025-02-22T05:46:20+00:00 ― 7 min read

Geometric Topology Quadratic Bias and Manifolds Explained

Explore the intriguing connection between quadratic bias and manifolds in mathematics.

Ian Hambleton, John Nicholson

2025-02-19T00:31:10+00:00 ― 7 min read

Algebraic Topology The Intricacies of Diagram Algebras

A look into the fascinating world of diagram algebras and cohomology.

Andrew Fisher, Daniel Graves

2025-02-17T11:13:30+00:00 ― 5 min read

Group Theory The Fascinating World of Group Theory

Explore the connections between groups, chain complexes, and their properties.

Marco Linton

2025-02-08T16:46:40+00:00 ― 7 min read

Algebraic Topology The Art of Neural Networks in Computing

Neural networks learn from data, transforming how computers make decisions.

Robyn Brooks, Marissa Masden

2025-02-05T00:52:10+00:00 ― 7 min read

Machine Learning Transforming Graph Analysis with Edge Insights

Discover how edge filtration enhances graph neural networks for better data representation.

Jaesun Shin, Eunjoo Jeon, Taewon Cho

2025-02-03T16:54:10+00:00 ― 5 min read

Algebraic Topology The Challenge of Robot Movement

How robots navigate narrow spaces without collisions.

Nicholas Wawrykow

2025-01-28T14:23:20+00:00 ― 7 min read

Category Theory Untangling the World of Circuit Algebras

A deep dive into circuit algebras and their real-world applications.

Sophie Raynor

2025-01-25T01:08:40+00:00 ― 9 min read

Genomics K-mer Topology: A New Way to Analyze Genomes

K-mer topology simplifies genome analysis, revealing connections among species.

Yuta Hozumi, Guo-Wei Wei

2025-01-23T08:46:08+00:00 ― 7 min read

Representation Theory The Intrigue of Stiefel-Whitney Classes and Symplectic Groups

Unravel complex math concepts with Stiefel-Whitney classes and symplectic groups.

Neha Malik, Steven Spallone

2025-01-19T06:37:20+00:00 ― 6 min read