Latest Articles for Geometry

A look into unique line arrangements and their properties.

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

Discover the basics of knot theory and Khovanov homology.

An overview of generalized braids and their role in knot theory.

A look into the structure and significance of generalized snake posets in mathematics.

Discover the fascinating world of induced cycles in Levi graphs.

Researchers find new lattices improving quantization in dimensions 13 and 14.

A look into how orthogonal sets and sublattices interact.

Dive into the unique world of signotopes and their geometric relationships.

A look into rational polygons and how they can be classified.

Discover how angles and equations interact in the fascinating world of mathematics.

Discover the fascinating relationship between shapes and surfaces in geometry.

Examining how shapes interact when they come together under pressure.

Explore the unique relationship of squircle and lemniscate in geometry.

Discover how curves interact with various surfaces and their applications.

A look into the fascinating world of intrinsic rotational surfaces.

Discover the dynamics of curves in dual space and their real-life applications.

Researchers develop methods to analyze shapes using limited data samples.

Discover the curious properties of Moebius bands and their real-world applications.

Discover the intriguing connections between geometry, polytopes, and stabbing sets.

Explore the fascinating world of transversal structures and their significance in graph theory.

Explore the interplay between circle bundles and manifolds in mathematics.

Explore the intriguing world of weakly convex and weakly semiconvex sets in mathematics.

Explore the links between Mahler measure, polynomials, and surfaces in mathematics.

Explore the world of random shapes and patterns in mathematics.

Discover the unique geometry of Calabi-Yau manifolds and their role in physics.

Discover the surprising mathematics of Minkowski billiards and its unique behaviors.

Exploring how information behaves in twisted realms of quantum mechanics and geometry.

Explore the fascinating world of closed geodesics on bumpy spheres.

Can a square perfectly fit on a round surface? Discover the intriguing challenges.

Explore the intriguing patterns and systems in automatic sequences of mathematics.

Discover the fascinating properties of hyperbolicity in algebraic geometry.

Explore the essence of Adiabatic Fredholm Theory and its applications in mathematics.

Discover the fascinating world of affine log Calabi-Yau varieties in mathematics.

Uncover the fascinating world of quantum geometry and structure factors.

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

Discover how polytopes help us understand the universe's mysteries.

Explore the fascinating world of minimal surfaces and their structures.

Discover the fascinating world of planar radial mean bodies in geometry.

Discover methods used to find rational points on complex varieties.