Latest Articles for Geometry

Exploring Dijkgraaf-Witten invariants and their role in understanding mapping tori.

Tropicalization offers a clearer way to analyze complicated mathematical equations and structures.

Exploring the behavior of vector bundles influenced by surface modifications.

Exploring the importance of the fundamental gap in understanding shapes and curvature.

A guide to free factor complexes and their significance in understanding free groups.

A look at the trimming process in finite subsets of the Manhattan plane.

Discover the unique properties and arrangements of the hat monotile in tiling theory.

Examining the properties and models of the Funk disc in geometry.

This article explores singularities in hypersurfaces and their mathematical implications.

Study reveals insights into shapes and colors in polygons.

Explore the structure and properties of quivers in mathematics.

This article presents fresh insights into formal moduli problems using operadic methods.

This article explores the significance of valuations in geometry and their applications.

A look into random curves and their applications in mathematical physics.

Exploring the role of invariants in understanding 3-manifolds.

A look into cyclic and cocyclic objects and their significance in mathematics.

Examining the Glasner property in relation to linear maps and tori dimensions.

A look into complex hyperbolic geometry, toroidal compactifications, and Kähler metrics.

Harder's conjecture links modular forms and number theory through Hecke eigenforms.

Examining hyperplanes' role in covering hypercubes with a focus on almost k-covers.

Explore the intriguing behavior of points outside convex curves in outer billiards.

Exploring the link between magnetic quivers and Drinfeld centers in modern physics.

Elliptic curves play a key role in number theory and cryptography.

A study of Hurwitz continued fractions and their significance in approximating complex numbers.

Exploring the role of filling curves in understanding surface geometry.

Study surfaces with folded singularities and their significance in geometry.

A look into maximal maps and maxfaces in geometry.

A look into unique shapes in higher-dimensional spaces with special properties.

This study examines NMS-flows and their connection to 4-manifolds with unique saddle orbits.

Explore the roles of non-blockers and blocked sets in mathematical continua.

Exploring the unique structures and properties of Margulis spacetimes.

Examining the connection between fractional Sobolev spaces and boundary representations in mathematics.

A look into reductive groups, their properties, and applications.

Exploring connections in algebra and geometry via Hurwitz spaces.

A look into the properties and behaviors of paths in the Engel group.

Exploring the intersection of minimal surfaces and the Dirichlet problem in mathematics.

A look into manifolds, links, and the concept of left-orderability in mathematics.

An overview of Haken manifolds, key theorems, and their implications in topology.

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

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