Latest Articles for Geometry

Discoveries of exotic shapes deepen our grasp of geometry.

An overview of Legendrian structures and their role in topology research.

Exploring the links between polynomial rings and various number systems.

A deep dive into the representation theory of rational Cherednik algebras.

A guide to accurately representing envelopes formed by straight lines.

This article explores non-Kähler geometries and their significance in mathematics and physics.

A look into the Barker-Larman and Montejano conditions for convex shapes.

A look into Ulrich sheaves and their significance in geometric studies.

Exploring the interactions of groups in binary spaces through orbits and bi-invariant sets.

An exploration of higher-dimensional knots and their fascinating properties.

A look into the complexities of uniquely complemented nondistributive lattices in mathematics.

Research uncovers new methods for signed tiling using parallelepipeds.

Explore the geometric relationship between deltoids and triangles in this insightful article.

Explore how Lorentzian geometry shapes our understanding of space, time, and the universe.

Tangent categories connect geometry, algebra, and more through systematic study of change.

This article explores singular hypersurfaces and their connection to mirror symmetry.

A look at polytopes, lattice points, and their mathematical significance.

Exploring the link between knots and quantum invariants.

Explore the unique properties and applications of Cantor sets in mathematics.

Examining shapes that minimize area within complex hyperbolic geometries.

This study examines ergodic behavior in modified flows on unique surfaces.

Exploring unique properties of non-geodesic hyperbolic spaces reveals new mathematical insights.

Analysis of configuration spaces and their homology involving odd prime surfaces.

Exploring the unique properties and applications of discrete harmonic surfaces in geometry.

A study of 2-bridge knots, focusing on genus and crossing numbers.

A study on classifying three-component link maps in four-dimensional space.

Examining Laurent coefficients of modular forms and their significance in number theory.

A look into the relationships between algebraic groups and function fields.

Explore how dominoes can be arranged in unique patterns on toroidal grids.

This article examines the motion of linkages through the no-slip condition.

An overview of twist knots and their related quantum invariants.

Exploring the significance of generalized Calabi-Gray manifolds in mathematics and physics.

This article examines the complexity of counting the Brouwer degree in polynomials.

Exploring how modular surfaces relate to arithmetic groups and geodesics.

Leibniz algebras offer unique insights into algebraic structures and their applications in mathematics and physics.

A look into unique geometrical shapes and their shared sound properties.

This note explores how curves reveal the relationships between surface covers.

Grasstopes connect geometry and physics through complex structures and properties.

Examining the properties and significance of convex shapes in geometry.

Examining polynomial vector fields and their relationship with algebraic hypersurfaces.