Mathematics - Differential Geometry

Symplectic GeometryThe Dance of Geometry: Hamiltonian Manifolds and Cohomology

Unraveling the relationship between shapes and group actions in mathematics.

2025-02-23T03:05:00+00:00 ― 8 min read

Mathematical PhysicsDancing with Supersymmetry: Unraveling Yang-Mills Theory

Discover the intricate world of Supersymmetric Yang-Mills Theory and its connections.

2025-02-21T08:42:46+00:00 ― 7 min read

Metric GeometryUnderstanding Metric Spaces: A Simple Guide

Learn about metric spaces and their role in measuring distances.

2025-02-12T19:20:30+00:00 ― 6 min read

Differential GeometryCurvature and the Dance of Space

Explore the fascinating world of space curvature and its implications.

2025-02-08T14:06:50+00:00 ― 8 min read

Differential GeometryCurves in Motion: The Art of Flow

Discover how curves change over time through unique flows.

2025-02-07T00:49:10+00:00 ― 6 min read

Analysis of PDEsEfficient Data Clustering with Volume Constraints

Discover how the volume-constrained MBO scheme improves data organization and analysis.

2025-02-04T06:13:20+00:00 ― 5 min read

Differential GeometryThe Geometry of Bicycle Motion

Discover how curves shape bicycle stability and movement.

2025-02-02T22:15:20+00:00 ― 6 min read

Symplectic GeometryGromov's Non-Squeezing Theorem: A Deeper Look

Discover how Gromov's theorem challenges our understanding of shapes and spaces.

2025-02-02T03:36:30+00:00 ― 7 min read

Differential GeometryThe Enigma of Special Lagrangian Pants

Discover the unique geometric shapes behind the Donaldson-Scaduto conjecture.

2025-01-30T01:01:10+00:00 ― 6 min read

Mathematical PhysicsThermodynamics: The Dance of Energy and Geometry

Explore how geometry helps us understand thermodynamics and energy flow.

2025-01-27T19:35:26+00:00 ― 7 min read

Differential GeometryDiscovering the Secrets of Metric Spaces

An overview of metric spaces, curvature, and their fascinating properties.

2025-01-25T06:28:20+00:00 ― 6 min read

Spectral TheoryThe Page Metric: Revealing Black Hole Mysteries

Discover how the Page metric helps us understand black holes and their behavior.

2025-01-22T16:59:22+00:00 ― 6 min read

Differential GeometryUnraveling Ideals in Lie Algebras

A light-hearted look at ideals in Lie algebras and their significance.

2025-01-22T09:12:40+00:00 ― 6 min read

High Energy Physics - TheoryUnlocking the Secrets of Ricci-Flat Metrics

Discover how machine learning aids in understanding complex geometrical shapes.

2025-01-22T08:13:56+00:00 ― 6 min read

Differential GeometryUnraveling the Wonders of Parabolic Geometries

Discover the intriguing world of parabolic geometries and their unique shapes.

2025-01-21T17:13:40+00:00 ― 8 min read

Differential GeometryThe Secrets of Yang-Mills Theory

Discover the complex world of Yang-Mills theory and its significance in physics.

2025-01-20T03:56:00+00:00 ― 7 min read

Analysis of PDEsUnderstanding Differential Inequalities and Their Applications

Explore how differential inequalities relate to shapes and real-world applications.

2025-01-19T22:36:20+00:00 ― 5 min read

Differential GeometryThe Geometry of Four Dimensions: A Dance of Shapes

Exploring four-dimensional shapes and the role of Weyl tensors in geometry.

2025-01-17T21:33:12+00:00 ― 7 min read