Latest Articles for Geometry

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.

Explore the intriguing world of paths and their connections in a special park.

Explore the relationship between polynomials and two-variable valuations.

Discover how the Funk transform reveals hidden shapes using shadows.

Discover the balance between stability and wobbliness in twisted bundles.

A look into how shapes behave using differential forms and cohomology.

Explore the unique structures and significance of Bratteli diagrams in mathematical study.

A look into the structure and significance of spatial cube complexes.

A simple guide to Macías space and the concept of homeomorphisms.

Discover the connections between complex equations and unique geometric spaces.

A brief overview of Willmore surfaces and their key properties.

This paper discusses geometry challenges using minimal memory.

Discover how taxicab geometry influences isosceles triangles in a grid-like city.