Mathematics - K-Theory and Homology

Operator AlgebrasK-Theory for Operator Systems: A New Perspective

This article explores the generalization of K-theory to operator systems.

2025-06-12T06:15:58+00:00 ― 7 min read

K-Theory and HomologyWitt Vectors and Their Derived Structures

A look at Witt vectors, their properties, and connections to derived structures.

2025-06-11T18:28:07+00:00 ― 6 min read

Symplectic GeometryConnections in Liouville Manifolds and Symplectic Geometry

An exploration of Liouville manifolds and their role in symplectic geometry.

2025-06-03T05:32:30+00:00 ― 4 min read

Algebraic GeometryAdvancements in Motivic Homotopy Theory

Discover how motivic homotopy theory deepens our understanding of algebraic geometry.

2025-05-30T12:56:38+00:00 ― 6 min read

Operator AlgebrasUnderstanding Operator Systems: A Simple Guide

A straightforward overview of operator systems and their unique features.

2025-05-26T06:30:24+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.

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

Algebraic GeometryChow Polylogarithms and Their Mathematical Journey

Explore the intriguing world of Chow polylogarithms and their connections in math.

2025-05-25T04:32:12+00:00 ― 6 min read

Category TheoryOrganizing Game Night: A Mathematical Approach

Learn to arrange game night with concepts from monoidal bicategories.

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

K-Theory and HomologyMagnetic Equivariant K-Theory: A Deep Dive

Explore the intriguing world of magnetic equivariant K-theory and its real-world applications.

2025-04-03T14:16:44+00:00 ― 8 min read

K-Theory and HomologyThe Smooth Path of Algebra

Discover the importance of homological smoothness in algebraic structures.

2025-04-01T15:28:40+00:00 ― 5 min read

Algebraic GeometryDemystifying Deligne-Mumford Stacks and Motivic Cohomology

A friendly guide to complex math concepts in algebraic geometry.

2025-03-29T23:32:40+00:00 ― 6 min read

Operator AlgebrasUnderstanding the Rapid Decay Property in Groups

Explore how rapid decay properties influence group behavior in mathematics.

2025-03-21T13:05:20+00:00 ― 6 min read

Algebraic TopologyUnderstanding Coarse Geometry: A Big Picture Perspective

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

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

Representation TheoryConnecting Tempiric Representations and Operator K-Theory

Explore the connections between tempiric representations and operator K-theory in mathematics.

2025-01-31T00:59:40+00:00 ― 6 min read

Algebraic GeometryThe Six-Functor Formalism in Mathematics

A look at the six functors and their impact on geometry and algebra.

2025-01-22T01:13:10+00:00 ― 5 min read