Mathematics - Category Theory

Category TheoryConnecting Topology and Algebra: The Gelfand-Naimark Theorem

A look at the Gelfand-Naimark Theorem linking topology and algebra.

Sebastian Alvarez Avendaño, Breitner Ocampo, Pedro Rizzo

2025-06-03T15:35:29+00:00 ― 6 min read

Category TheoryUnderstanding Giry Algebras in Polish Spaces

This article explains Giry algebras and their role in probability and Polish spaces.

Kirk Sturtz

2025-06-03T02:55:12+00:00 ― 5 min read

General EconomicsInnovation Through Combination: A Simple Approach

Combining existing ideas leads to effective business innovation.

Jürgen Jost, Massimo Warglien

2025-06-02T01:04:54+00:00 ― 7 min read

Category TheoryUnderstanding the Quillen Negation Monoid in Category Theory

A look at how the Quillen negation monoid shapes morphism properties in category theory.

Misha Gavrilovich, Misha Rabinovich

2025-05-31T18:59:28+00:00 ― 5 min read

Mathematical PhysicsThe Intricacies of Symmetry in Quantum Physics

An overview of how symmetries and observables interact in quantum mechanics.

Thomas Bartsch

2025-05-26T07:51:36+00:00 ― 8 min read

Algebraic TopologyExploring the Dynamics of Modules in Algebra

A look into modules, their types, and how they interact in algebra.

Alex Elchesen, Amit Patel

2025-05-25T13:11:36+00:00 ― 7 min read

Category TheoryUnderstanding Ghosts in Mathematics

Explore the intriguing concepts of ghost maps and ideals in algebra.

S. Estrada, X. H. Fu, I. Herzog

2025-05-24T14:49:49+00:00 ― 6 min read

Category TheoryUsing Computers to Understand Category Theory

A look at computational methods in category theory and their applications.

Simon Forest

2025-05-23T02:45:39+00:00 ― 7 min read

Rings and AlgebrasUnderstanding DRC-Semigroups: A Guide

Learn about DRC-semigroups and their importance in mathematics and technology.

James East, Matthias Fresacher, P. A. Azeef Muhammed

2025-05-22T13:03:16+00:00 ― 4 min read

Category TheoryUnderstanding Modest Sets and Partial Equivalence Relations

A simple guide to modest sets and partial equivalence relations.

Rahul Chhabra

2025-05-18T04:21:20+00:00 ― 4 min read

Category TheoryOrganizing Game Night: A Mathematical Approach

Learn to arrange game night with concepts from monoidal bicategories.

Ettore Aldrovandi, Milind Gunjal

2025-05-15T16:06:28+00:00 ― 6 min read

Algebraic TopologyUnderstanding Homotopy Theory Through Model and Diagram Categories

A look into model categories, diagram categories, and their applications in mathematics.

Boris Chorny, David White

2025-05-15T04:53:56+00:00 ― 5 min read

General TopologyThe Connection Between Compact Spaces and Lattices

Discover how compact spaces and lattices interact in mathematics.

Elena Pozzan, Matteo Viale

2025-05-09T18:35:44+00:00 ― 9 min read

Category TheoryUnderstanding Independence in Mathematics

A simple look at the concept of independence in math.

Mark Kamsma, Jiří Rosický

2025-05-05T12:18:52+00:00 ― 7 min read

Logic in Computer ScienceConnecting Shapes: The Role of Colimits

A friendly exploration of colimits and their connections in homotopy type theory.

Perry Hart, Kuen-Bang Hou

2025-05-05T06:42:36+00:00 ― 5 min read

Representation TheoryWeyl Modules: An Insightful Look into Representation Theory

Discover Weyl modules and their significance in algebraic structures.

Vladimir Dotsenko, Sergey Mozgovoy

2025-04-30T18:49:28+00:00 ― 4 min read

Category TheoryUnderstanding Commutative Diagrams and Extensions in Mathematics

Explore the basics of commutative diagrams and their extensions in math.

Sébastien Mattenet, Tim Van der Linden, Raphaël M. Jungers

2025-04-30T07:36:56+00:00 ― 7 min read

Representation TheoryUnlocking the Secrets of Perverse Sheaves

Dive into the intriguing world of perverse sheaves and their role in mathematics.

Mikhail Kapranov, Vadim Schechtman, Olivier Schiffmann

2025-04-13T17:50:30+00:00 ― 6 min read

Logic in Computer ScienceUnlocking the Secrets of Type Theory

Explore higher identity proofs and their impact on programming and mathematics.

Thibaut Benjamin

2025-04-11T23:13:10+00:00 ― 6 min read

Algebraic GeometryDemystifying Commutative Diagrams and Functors

Discover how commutative diagrams and functors simplify complex mathematical concepts.

Chirantan Chowdhury

2025-04-04T10:04:30+00:00 ― 4 min read

Algebraic TopologyUnpacking Topology: Compactness and Finiteness

Discover the intriguing world of topology through compactness and finiteness.

Marco Volpe

2025-04-02T10:07:30+00:00 ― 6 min read

Computer Vision and Pattern RecognitionPoset Filters: Enhancing Neural Network Performance

Uncover how poset filters improve neural networks by organizing data efficiently.

Eric Dolores-Cuenca, Aldo Guzman-Saenz, Sangil Kim

2025-03-25T15:39:10+00:00 ― 7 min read

Category TheoryExploring Two-Dimensional Category Theory

Discover the fascinating interactions in two-dimensional category theory.

Nathanael Arkor, John Bourke, Joanna Ko

2025-03-19T23:47:40+00:00 ― 5 min read

Category TheoryUnlocking the Secrets of Relational Doctrines

Discover how relational doctrines simplify complex relationships in math and life.

Francesco Dagnino, Fabio Pasquali

2025-03-03T13:32:20+00:00 ― 5 min read

Quantum AlgebraA Culinary Journey Through Mathematics

Explore the delicious world of compact semisimple tensor categories.

Thibault D. Décoppet, Sean Sanford

2025-02-18T11:12:00+00:00 ― 5 min read

Dynamical SystemsUnderstanding Dynamical Systems Through Data

Discover how data helps us interpret the changes in dynamical systems.

Suddhasattwa Das, Tomoharu Suda

2025-01-27T14:24:50+00:00 ― 8 min read

Category TheoryUntangling 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

Quantum AlgebraDecoding Circuit Algebras: The Math Behind Complexity

Explore circuit algebras and their role in understanding knots and technology.

Sophie Raynor

2025-01-24T22:28:50+00:00 ― 5 min read

High Energy Physics - TheoryUnlocking the Secrets of Conformal Field Theories and Topological Matter

Discover how CFTs and topological matter shape modern technology and physics.

Yoshiki Fukusumi

2025-01-22T12:12:46+00:00 ― 6 min read

Quantum AlgebraUnderstanding Non-Split Tambara-Yamagami Categories

A look into the fascinating world of mathematical braidings.

David Green, Yoyo Jiang, Sean Sanford

2025-01-19T17:16:40+00:00 ― 5 min read

General TopologyCover Spaces: A Simple Guide to Complex Ideas

Learn the basics of cover spaces and their significance in mathematics.

Valery Isaev

2025-01-19T01:17:40+00:00 ― 5 min read

Category TheoryUnderstanding the Intricacies of Operator Spaces

Operator spaces reshape our view of mathematics, especially in quantum theories.

Bert Lindenhovius, Vladimir Zamdzhiev

2025-01-18T03:59:00+00:00 ― 6 min read