Latest Articles for Geometry

An exploration of tetrahedron instantons in mathematics and physics.

A look at elliptic curves and their significance in mathematics and cryptography.

A look into hyperbolic groups, their boundaries, and the equivalence relations they create.

Exploring continuous measures for assessing convexity in shapes and functions.

Examining regularity theorems and their significance in minimal surfaces and mean curvature flows.

Learn how configuration spaces influence geometry, topology, and algebra.

A look into the connections of mathematics and physics through inter-universal Teichmuller Theory.

Explore the significance of scalar curvature in geometry and its applications in physics.

A look into the Hitchin component and its significance in geometry.

Explore the role of proalgebraic fundamental groups in understanding space and structure.

A look into the study and properties of curves in mathematics.

Explore the links between mapping tori, surfaces, and homeomorphisms in geometry.

An overview of gaskets, their structures, and the quest to understand their dimensions.

A look into how representation theory connects various mathematical fields.

A look into Morse-Smale diffeomorphisms and their impact on manifold topology.

An overview of representation theory and its applications in math and physics.

An analysis of rational points on geometric varieties.

A look into the properties and measurements of nearly spherical sets.

Exploring scalar curvature's role in warped product metrics reveals vital geometric insights.

An insight into complex shapes and their relationships in mathematics.

Explore how hyperbolic geometry influences string theory and fundamental physics.

Darboux theorems shed light on manifold structures in mathematics and physics.

This article examines visibility and distance in quasihyperbolic spaces.

An analysis of canonical coordinates and their integrality in differential equations.

This study reveals how shapes behave under Gaussian measures and their implications.

Explore the grading aspects of affine Weyl semi-groups in algebra and geometry.

This article examines the relationship between two important types of polynomials.

Examining energy functions in the context of Cartan-Hadamard manifolds and their minimizers.

Examining the properties and existence of closed curves on Riemannian surfaces.

Exploring eigenvalue behavior in ring shapes through mathematical analysis.

A look at how surfaces bend and change shape.

Explore the significance and properties of power-closed ideals in polynomial rings.

An exploration of helices and their significance in geometry and curvature.

This article examines wave behavior in hyperbolic space using the defocusing cubic nonlinear wave equation.

Exploring the complexities of integer packing within geometric shapes.

Exploring key properties of incidence geometries in rigidity theory.

An overview of complex projective hypersurfaces and their significance in mathematics.

This study focuses on minimizing network lengths connecting specific points in geometry.

Exploring the connections between polynomial equations and geometric structures.

This article explores the relationship between curves, scrollar invariants, and symmetry.