Latest Articles for Geometry

An overview of tau-functions, their significance, and applications in mathematics.

Discover the unusual properties of exotic surfaces within four-dimensional shapes.

A look into the geometry and topology of foliated projective structures.

Exploring the connections between quantum modular forms and three-dimensional shapes.

This article explores hyper-Kähler varieties and their connections to mathematical conjectures.

Explore the relationship between torus actions and the structure of manifolds.

A look at local systems and equivariant algebras in complex spaces.

A look into the structure and properties of principal toric fibrations.

An examination of 1-flows featuring singular points and their structures.

Explore the dynamics and properties of interval exchange transformations and their implications.

Exploring the link between scattering amplitudes and geometric structures.

A study of how special geometry informs supersymmetric theories.

A look into the interplay between representations, orbits, and mathematical structures.

Exploring the relationship between curves and surfaces in geometry.

A look into flag varieties and their connection with algebraic structures.

Explore solutions to boundary value problems in geometry and physics.

A look at mean curvature and its significance in mathematics and related fields.

Explore the connection between shapes and physical properties through topological invariants.

An overview of random hyperbolic surfaces and their geometric properties.

An analysis of crease-free folding in convex polygons and its implications.

Exploring the significance of lambda-operations in the study of hermitian forms.

Introducing hyperbolic quadtrees for efficient data organization in unique geometries.

A look into category-colored operads and their role in algebraic operations.

An examination of triharmonic hypersurfaces and their stability across various spaces.

Examining the evolution of harmonic maps and the significance of singular points.

Examining relationships and structures between Kac-Moody groups and flag varieties.

A look into the structures and applications of non-commutative Poisson algebras.

This article examines the behavior of curves in Carnot groups.

A look into local analytic representations and their significance in various mathematical fields.

A look into the structure and applications of Fermat curves in mathematics.

Discover the intriguing behavior of geodesics near singularities in geometry.

Exploring convex sets and their significance in high-dimensional spaces.

An overview of lattice tetrahedra and their classification through multi-width and affine equivalence.

Examining how curvature affects crystal behavior and properties.

Explore the complex world of hypersurfaces and their mathematical implications.

An insight into the behavior of geodesics on hyperbolic surfaces.

An overview of C*-algebras in quantum mechanics and their mathematical significance.

Discover the connection between dancing polygons and rolling movements.

A concise overview of foliations, their stability, and singular points in mathematics.

A look at the visual angle metric and its significance in geometry studies.