Latest Articles for Geometry

Examine the properties of cusp forms and their successive minima.

Explore the concepts of Grassmannians and their implications in modern mathematics.

Discover how to transform regular polygons into rectangles through clever dissections.

A look into how codes reveal relationships between sets.

Examines the ultrahyperbolic equation's significance in medical imaging and geometry.

Exploring the structure and properties of CAT(spaces) and their acting groups.

Explore how GINNs reshape design through geometric principles and diverse solutions.

Examining how groups influence subspaces through relational complexity in mathematics.

Explore the significance and properties of cube complexes in geometry and group theory.

A look into the relationships of curves on surfaces through fine 1-curve graphs.

A look at transforming shapes within higher dimensions.

An overview of free-by-cyclic groups and their fascinating properties.

Analyzing how 2-complexes fit into three-dimensional space without overlap.

An overview of nonlinear equations, their properties, and applications across various fields.

A look into quasi-isometry and its relationship with different manifolds.

Exploring optimal light angles to maximize illumination of flat shapes.

Exploring the connections between cube complexes and hyperbolic spaces in mathematics.

This research investigates inequalities for anticanonical divisors over perfect fields.

Curvature reveals insights into graph behavior and structures.

An overview of mixed volumes and their significance in geometry.

Explore the role of polynomial rings in mathematics and their real-world uses.

Exploring the effects of group actions on hyperbolic geometry and their mathematical significance.

A look into the complex world of quantum geometry and its implications.

An overview of the unique properties of 3-Sasakian manifolds and their spinors.

Examining the role of harmonic maps in geometry and their behavior over time.

Exploring the effects of curvature on shapes over time.

This article uncovers the importance of torsional rigidity in triangles and pentagons.

Explore the role of invariant algebraic curves in polynomial mathematics.

An introduction to the properties and applications of anchored configuration spaces.

Explore the structures and behaviors of dilation surfaces and their fascinating foliations.

This study examines Brownian motion behavior on geometric shapes with boundaries.

Analyzing infinite groups through Floyd boundaries and graphs of groups.

A study on methods to cover points with geometric shapes efficiently.

A look into the key concepts of symplectic geometry and its applications.

Exploring the connections between the Whitehead complex and group theory.

Exploring cut-and-project sets and their role in understanding aperiodic structures.

Exploring metrics in compact Kahler manifolds and their implications in various fields.

An overview of fusion categories and their implications in various fields.

A look into the reconstruction of genus 6 and 7 complex curves.

This article explores the relationship between coarse and boundedly supported cohomology.