Latest Articles for Geometry

Explore the essentials of tropical geometry and its impact on mathematics.

A look into hyperbolic surfaces and the mathematics behind their unique characteristics.

A clear look at Hadamard's inequality and its implications for functions.

An overview of gravitational instantons and their significance in geometry and black hole studies.

An overview of period maps, compactification, and Hodge theory advancements.

Exploring ALF family instantons and their unique geometric properties.

This article examines recent developments in Brill-Noether Theory and its implications.

An overview of homogeneous varieties, focusing on the spinor tenfold and exceptional collections.

An overview of chainmail links and their significance in mathematics.

A look at the shapes formed by random polynomials and their connections.

Examining the link between geometry and quantum mechanics through mathematical structures.

A look into unique shapes and their transformations in geometry.

This article examines mirror symmetry in 4D SCFTs and related concepts.

This article examines the classification and properties of hexagonal circular 3-webs.

Study reveals behaviors and rigidities of surfaces in geometric spaces.

This article discusses arithmetic degrees in geometry, focusing on varieties and rational self-maps.

A look into frame polyominoes and their unique properties.

Discover the connections and concepts behind cluster algebras in mathematics.

A deep dive into Jacobi Ensemble and Hurwitz numbers.

Explore the significance of Hofer-Zehnder capacity in symplectic manifolds.

Exploring mathematical concepts of colorings and coverings applied to the cube.

Exploring concepts related to Hopf algebroids, stable comodule categories, and Picard groups.

An overview of Brascamp-Lieb forms and their properties in weighted spaces.

Discover the relation between billiards and geometry through Birkhoff's conjecture.

Exploring the role of the Poincaré metric in holomorphic foliations and their properties.

New insights into smooth surfaces that minimize area and their singularities.

Explores connections between representation theory and division algebras in mathematics.

A simplified look at rectifiability and its role in metric spaces.

An overview of generalized geometric representations and their implications in mathematics.

Exploring spectral projectors on hyperbolic surfaces and their operator norms.

This article examines the stability of piecewise flat Ricci flow and strategies to improve numerical accuracy.

Research reveals connections between scattering amplitudes and geometric structures.

A look at visualizing graphs on complex surfaces, focusing on the Klein bottle.

Investigating how dimensions affect efficiency in online chasing tasks.

A look into the behaviors of circle maps and their intriguing properties.

A look at homological mirror symmetry and its implications in multiple fields.

An insight into how shapes change while retaining their volume.

A study on elliptic curves, Galois groups, and their interactions.

An overview of Fukaya categories and their role in modern mathematics.

This article explores how to estimate set sizes using point samples and polynomial volume functions.