Latest Articles for Geometry

Explore A-infinity algebras and their applications in math and physics.

An overview of -finite algebras, cotorsion pairs, and thick subcategories in mathematics.

An overview of hyperpolygon spaces and their significance in mathematics.

This article examines sprays and their role in covering mathematical spaces.

A look into the structures and properties of quiver Grassmannians.

This article discusses methods to analyze square-triangle-rhombus tilings in higher dimensions.

Exploring the connections between ideals in algebraic geometry.

Discover the connection between flag manifolds and quantum cohomology in mathematics.

An overview of the Apollonian gasket’s structure and significance in mathematics.

An overview of complex structures in mathematics and their significance.

Examining the role of automorphisms in Cartan geometries for deeper insights.

A look at discrete calculus and its applications in understanding complex shapes.

Researchers make strides in understanding supergravity solutions and their implications for theoretical physics.

This article explores the complexities of the bosonic string effective action and its corrections.

Exploring the importance of low regularity metrics in geometry and physics.

Explore the role of symmetric tensor categories in mathematics and their applications.

Neural varifolds improve the analysis of 3D point clouds for various applications.

Exploring methods to determine if one shape can fit into another.

Explore the role of geodesic rays in the study of complex spaces.

A look into how tiles interact and form patterns without gaps.

An overview of translation surfaces and their intriguing properties.

Fano surfaces link geometry, algebra, and number theory in complex yet fascinating ways.

A study of unique surfaces shaped like caps in complex geometric spaces.

Exploring approximation of linear subspaces with rational numbers through Diophantine exponents.

This paper presents a new definition of Gaussian curvature in random surfaces.

Weighted projective spaces offer insights into geometry and algebra through varying point importance.

This paper discusses fractals, their properties, and significant conjectures in the field.

Discover the complexities of non-Hausdorff manifolds through the line with two origins.

An insight into Legendrian currents and their role in minimizing area in geometry.

A study of o-minimality and its implications for strongly minimal structures.

Exploring column sums and their impact on complexity and applications.

Analysis of Kropina spaces reveals insights into metrizability and curvature.

Exploring how groups interact with flag varieties through orbits and monoid actions.

Exploring the unique properties of CAT(0) spaces in geometry.

A deep look at the puzzle of fitting a sofa through a corner.

A detailed look at the Honeycomb Conjecture and its relevance across different geometric spaces.

This article introduces a geometrical framework for understanding quantum states and their changes.

This article discusses applying Steiner symmetrization to spherical shapes to enhance their properties.

Explore the relationship between metric structures and ultracategories in mathematics.

Exploring how light reflects in elliptical billiard tables and the significance of cusps.