Latest Articles for Geometry

A look at how points connect in space and what we can learn.

Explore the relationships between curves, line bundles, and their mathematical significance.

Explore the world of rational points on circles and their applications.

A look into the basics of cobordisms and their significance in mathematics.

A look at the complexities of cubic surfaces and quartic curves in geometry.

Explore the unique aspects of Finsler geometry and its implications.

A deep dive into holographic codes and their connection to fractals.

A look into the behavior of damped waves in specific geometric spaces.

An overview of ideals and their powers in mathematics.

Explore convex floating bodies and how they can simplify complex data analysis.

Explore the relationships between tiles, groups, and spectral sets in mathematics.

A closer look at number fields, lattice points, and their significance.

An overview of elliptic curves and their interactions with number fields.

Explore the fascinating world of higher Teichmüller spaces and their intricate structures.

A look into the layers and dynamics of foliations.

An engaging look at mathematical operators and their connection to averages.

Exploring the connection between rolling balls and advanced mathematical concepts.

Exploring the relationship between artistic expression and mathematical spaces.

A look into large fields and their relation to diophantine sets.

A look into the fascinating connections of elliptic curves and their isogenies.

An overview of Born structures and their role in algebra and geometry.

Discover how connections and curvature help us understand mathematical singularities.

A look into constant scalar curvature metrics and their challenges.

Learn about Wachspress coordinates and their applications in shaping our world.

Exploring the relationship between Kazhdan-Lusztig and Gelfand-Tsetlin bases.

A look at how groups interact within mathematical frameworks.

Discover how loop-decorated maps connect math and physics in understanding complex behaviors.

An overview of algebraic stacks and the significance of S-equivalence.

A look into the world of foliations and their significant extensions.

Discover the wonders of random walks in cubes and hypercubes.

Discover the role of essential dimensions in algebraic groups.

A look into hyperplane arrangements and their role in mathematics.

A look into the role of spinorial superspaces in modern physics.

Discover the fascinating world of del Pezzo surfaces and their unique properties.

Discover the fascinating connections between knots and surfaces in mathematics.

This article examines why some dots remain hidden in projections.

Learn about a unique way to create and analyze surfaces.

A look into Kakeya sets, regulus strips, and their significance in mathematics.

Discover the connections within Symplectic Hodge Theory and its structures.

Explore the concepts of spaces and locales in mathematical topology.