Latest Articles for Geometry

This article explores the counting of geometric objects in various mathematical contexts.

This article explores the Grasshopper Problem on a sphere and its ties to quantum mechanics.

A look into methods of obtaining randomness from structured sources.

An overview of primitive points on curves in algebraic geometry.

A look into the relationship between isotopy, concordance, and minimal surfaces.

A study on curve behavior in smooth surfaces under reflections.

A look into K3 surfaces, their unique features, and automorphisms.

Explore the links between lattice path matroids and their applications in various fields.

Exploring left-orderable fundamental groups of 2-bridge knots through Dehn surgeries.

Exploring the connections between Lie superalgebras and Poisson cohomology in mathematics.

Explore the concept of integral closure and its importance in algebra.

Explore the intriguing properties and classifications of Legendrian links.

This research delves into the homological properties of convolution algebras on Lie groupoids.

An exploration of friezes formed by dissecting polygons into simpler shapes.

A look into the properties and complexities of Gaussian random polytopes.

A look at new inequalities relating Cauchy-Schwarz and triangle inequalities in metric spaces.

A clear overview of curvature and its significance in complex geometry.

A study of composition operators and reflections in Hardy spaces of the unit disk.

A look into the Dirac spectrum of hyperbolic surfaces and their geometric insights.

A look into the role of sheaves and Witt groups.

This article explores the mathematical framework behind origami shapes and their properties.

This article examines stability conditions in varieties under group actions and their geometric implications.

A look into orbifolds and defect TQFTs in mathematics and physics.

Research connects mass, geometry, and space through mass-capacity inequalities.

Exploring unique properties of ALE Kähler manifolds and their significance in geometry.

This paper examines how doodles and blobs interact in specific mathematical spaces.

Exploring inscribed and circumscribed polygons through geometry and billiard systems.

This article examines the relationship between lines and shapes in three-dimensional geometry.

Examining the Bach tensor's significance in gradient shrinking Ricci solitons.

Study of heat equations in geometric cones using fractional Laplacians.

Examining the interplay between curvature and dimension in various geometries.

Understanding derived Grassmannians and their applications in mathematics.

Learn about line congruences and their role in geometry and various applications.

Exploring the relationship between Fano manifolds, the Futaki invariant, and special metrics.

Exploring the connection between geometry and probability through geodesic random walks.

A look at the Mordell conjecture and its impact on rational points on curves.

Exploring the connections between surfaces and their properties in mathematics.

A method in mathematics for analyzing chip movements on graphs.

Study analyzes relationships between hyperbolic volume and knot complexity metrics.

A study on the structure and relationships of Lagrangian surfaces.