Latest Articles for Geometry

Exploring the relationship between polyhedral maps and their symmetrical properties.

This article explores the link between torsion and skein modules in compact oriented manifolds.

A study of tropical curves and their unibranch points in geometry.

Exploring geometric properties of Right-Angled Coxeter Groups through finite-state machines.

Explore how surfaces change over time with mean curvature flow.

An exploration of the complexities in Snake Cube puzzles and their variations.

Exploring the relationship between horocycles and surfaces of genus 2.

A look at the significance and properties of Siegel cusp forms.

Explore how weight structures simplify complex mathematical objects and their applications.

Examining the role and significance of quantum homogeneous spaces in modern mathematics and physics.

Examining energy efficiency of liquid droplets on convex surfaces.

A deep dive into the intricate world of Grassmannian optimization.

Mathematicians seek the largest shape that fits through an L-shaped corridor.

A simplified overview of Lie groupoids, algebroids, and their cohomological properties.

A look into dg-algebras, their structures, and significance in mathematics.

Explore the connections between curves and their properties in Brill-Noether theory.

Explore lattice spectra, their types, and significance in number theory and beyond.

A look into measures, bifiltered spaces, and their implications in mathematics.

An overview of regular Lagrangians and their role in mathematics and physics.

A simple overview of algebra and topology and their connections.

A look into contact geometry, Reeb orbits, and their significance in various fields.

This article discusses the challenges of smoothing stable maps in projective varieties.

A study of how integer points relate to smooth curves in mathematics.

An overview of cohomology and its implications for algebraic groups over local fields.

A look at how maximal representations connect surfaces and geometric properties.

An overview of thick subcategories and their significance in mathematical structures.

This study examines weak conjugacy in homeomorphisms, focusing on compact surfaces and invariants.

Examining how knot theory relates to algebraic structures through representation theory.

A closer look at convex shapes and the role of reflections.

A look into how Pachner moves shape polygon equations.

Explore how shapes change over time through mean curvature flow and self-shrinkers.

Examining Sard's conjecture in the context of Carnot groups and endpoint maps.

An approach to reduce complex PDEs into simpler ODEs using transnormal functions.

Calabi-Yau threefolds bridge mathematics and physics, impacting our grasp of forces and dimensions.

Researchers enhance metric approximations on Calabi-Yau manifolds using machine learning techniques.

This article explores a geometric approach to intelligence and consciousness.

A study on Kodaira fibrations and their algebraic sections in geometry.

A study on the classification and significance of planar functions in cryptography.

An overview of metric extensions and their significance in topology.

Examining the unique features of the Iwasawa manifold and its deformations.