Latest Articles for Geometry

Proof of two unique loops based on any point on a sphere.

Research reveals efficient embeddings for complex mathematical spaces.

Learn how graph embedding can improve analysis of complex networks.

A concise look at nilpotent Lie algebras and their significance.

An overview of convex bodies, their properties, and significance in mathematics.

An overview of the interactions between loops and manifolds through various mathematical tools.

Discover the unique structures and significance of gentle algebras in mathematics.

Exploring how symmetry affects the stability of frameworks in various fields.

Exploring mirror symmetry in Calabi-Yau varieties and its implications in geometry.

Explore the connections between Whittaker-Fourier coefficients and Petersson inner products in number theory.

This article explores the significance of coherent sheaves in the study of geometry.

Exploring the relationship between quasi-transitive graphs and planar Cayley graphs.

Analyzing BV functions using the Fourier transform reveals critical mathematical insights.

An overview of generalized connections and their relevance in gauge theories and gravity.

Explore key concepts of Grassmann, flag, and Stiefel manifolds and their applications.

A look at systoles and their calculation on combinatorial surfaces.

An overview of character sheaves and their role in modern mathematics.

Explore the role of Hall-Littlewood polynomials in mathematics and their connections.

Examining how mapping class groups can be structured and ordered.

Exploring geometry's role in understanding biological dynamics and limit cycles.

Investigating the impact of singularities on complex surfaces.

This article explores surjective Galois representations linked to Drinfeld modules and elliptic curves.

A look into the study of gravity in a two-dimensional quantum space.

Investigating the interaction between rational maps and Hecke groups through mating.

Discover the role of affine semigroups and their lifts in mathematics.

A look into the distribution and importance of polynomial zeros.

An overview of hyperbolic geometry and its connections to algebra.

A new method for estimating high density regions in complex datasets.

A look into Riemann surfaces and their properties via Bergman kernels.

Exploring the transformations and properties of rational surfaces in mathematics.

Learn how decoupling principles simplify complex mathematical shapes.

This article examines the links between polytopes and Weyl groups in mathematics.

Vietoris-Rips complexes reveal data patterns through geometric relationships between points.

This article examines random points in Orlicz balls and their intersections.

Examining the role and effects of conformal submersions in geometric structures.

This article discusses symmetries in superintegrable systems via factorization in curved spaces.

This article examines distance functions and their significance as topological Morse functions.

An overview of Kähler metrics and their significance in geometry and physics.

An overview of parabolic Higgs bundles and their role in mathematics and physics.

Dimer models reveal intriguing patterns through arrangements on grids.