Latest Articles for Geometry

A look into tropical geometry and its role in counting curves.

Explore key concepts of manifolds and their geometric structures in mathematics.

A look at the principles and concepts of projective geometry.

A look into moduli spaces, parabolic bundles, and their mathematical significance.

A method for reconstructing maps from their branching curves in geometry.

An overview of thick irreducible spherical twin buildings and their significance in mathematics.

This article introduces -divergence in topological dynamics and its implications for lattice theory.

A look into the properties and applications of convex bodies within lattice structures.

An exploration of geometric shapes defined by polynomial equations and their complexities.

A simplified look at root stacks and spherical functors in algebraic geometry.

Examining the intriguing properties and stability of klt singularities in geometry.

An overview of commutative rings, unital rings, and their connections.

A study on shapes with constant mean curvature, focusing on singular points.

A clear guide to extriangulated categories and their significance in various fields.

A look into the Haydys-Witten equations and their role in geometry and physics.

Explore various aspects of tiling problems in mathematics and computer science.

Study reveals fixed points in Steinberg group actions on Banach spaces.

Examining the role of cut locus and geodesics in Finsler geometry.

Learn how to estimate scalar curvature using a new intrinsic method.

This study connects Floer cohomology and indicator functions within symplectic manifolds.

Discover the Heawood graph's role in map coloring and its mathematical implications.

This study examines optimal shapes using Blaschke-Santaló diagrams in engineering and design.

This study investigates properties of the Monge-Ampère equation in ring-shaped domains.

Discover the significance of Fourier analysis in understanding geometric measures and structures.

Learn about chiral polytopes and their fascinating properties.

Examining isoperimetric problems and their real-world applications in geometry.

Exploring coloring techniques in hypergraphs and their mathematical implications.

Investigating dense orbits in groups with infinitely many connected components.

This article analyzes the Simple Loop Conjecture and its validity across various representations.

A look into four-manifolds and their unique properties.

A look into mapping class groups and their impact on surfaces.

A fresh billiards game combining symplectic and tiling elements for unique gameplay.

Explore the importance and impact of differentially large fields in modern mathematics.

Einstein manifolds reveal insights into geometry and physics through their unique properties.

A look into how numbers can be approximated by rational values.

An overview of vector partition functions and their applications in mathematics.

This article discusses the properties of width in geometric curves.

Exploring the behavior of shapes through Neumann and Steklov eigenvalues.

A look into the properties of degenerate almost complex surfaces in nearly Kähler manifolds.

An overview of contact manifolds and their essential properties in topology.