Latest Articles for Geometry

Uncover the fascinating properties of exotic spheres in mathematics.

This article reveals methods to determine obstacle shapes using wave data.

Exploring particle motion and chaotic behavior in unique curved shapes.

Examining Picard groups through profinite descent and stable homotopy theory.

Explore methods for analyzing curvature in surfaces with unique geometric features.

This article presents an efficient method for generating complex shapes in string theory.

An overview of Legendrian knots and their classification challenges.

Explore the classification of hyperbolic links within three-dimensional spaces.

A brief look into pseudodifferential operators and their significance in various fields.

A look into ergodic averages and their role in prime number patterns.

Study reveals properties of mapping class groups tied to unique maximal ends.

An overview of line bundles and their significance in geometry and algebra.

A study on how quadrilateral shapes affect eigenvalues in boundary conditions.

A look into how geodesics behave on various 3D shapes.

Research reveals complex behaviors of critical points on large hyperbolic surfaces.

Explore the key concepts and applications of random matrix theory in various fields.

This article discusses how to find the smallest round area covering points in a polygon.

Research combines Fano varieties and machine learning for geometric classification.

A look into octonions and their impact on mathematics and physics.

Explore the relationship between point processes and critical faces in topology.

A deep dive into expanders, hyperbolicity, and their significance in topology.

A look at Young diagrams and their role in understanding symmetric groups.

Exploring the properties and applications of directional segment graphs in mathematics.

An overview of key concepts in metric spaces and their interrelations.

A look into centralizer rigidity and Weyl chamber flow in mathematics.

A look into Nöbeling's theorem and its significance in solid abelian groups.

Explore the significance and applications of spherical perverse sheaves in advanced mathematics.

A look into translation-invariant smooth valuations and their applications.

An overview of spreads and their classification under cyclic group actions.

A look into root stacks and their significance in algebraic geometry.

An overview of non-Archimedean valued fields and their significance in mathematics.

An examination of general position sets and their significance in mathematics.

Exploring connections between geometry, eigenfunctions, and fluid behavior in bounded domains.

Exploring character varieties and algebra in hyperbolic knot complements.

Examining the Kummer group's ties to projective structures and differential equations.

A simpler view of higher-dimensional topology and its algebraic connections.

Exploring curvature conditions on compact surfaces with boundaries in mathematics.

Exploring the connections between elliptic curves, integrable systems, and quantum mechanics.

Explore the interaction of time and space in Lorentzian length spaces.

An exploration of translation-dilation groups within number theory and algebraic geometry.