Latest Articles for Geometry

Discover the surprising mathematics of Minkowski billiards and its unique behaviors.

Exploring how information behaves in twisted realms of quantum mechanics and geometry.

Explore the fascinating world of closed geodesics on bumpy spheres.

Can a square perfectly fit on a round surface? Discover the intriguing challenges.

Explore the intriguing patterns and systems in automatic sequences of mathematics.

Discover the fascinating properties of hyperbolicity in algebraic geometry.

Explore the essence of Adiabatic Fredholm Theory and its applications in mathematics.

Discover the fascinating world of affine log Calabi-Yau varieties in mathematics.

Uncover the fascinating world of quantum geometry and structure factors.

Dive into the intriguing world of perverse sheaves and their role in mathematics.

Discover how polytopes help us understand the universe's mysteries.

Explore the fascinating world of minimal surfaces and their structures.

Discover the fascinating world of planar radial mean bodies in geometry.

Discover methods used to find rational points on complex varieties.

Discover the interplay of shapes and spaces in topology.

An overview of semi-Pfaffian sets and their practical applications.

Discover the intriguing world of biautomaticity in geometry and group dynamics.

Explore the fascinating world of triangles on curved surfaces and their balance.

Tropical geometry blends geometry and combinatorics for fresh insights.

Discover the intriguing shapes and their mathematical significance.

Discover how geometric shapes can be retrieved from their projections.

Discover the fascinating world of genus 4 real algebraic curves and their properties.

Discover the intriguing link between friezes and curve singularities in mathematics.

Discover the captivating world of geometry through dance-like movements and transformations.

Explore the elegance and complexity of ternary quartics in mathematics.

Discover how MVOP influence complex tiling arrangements and random patterns.

Uncover the basics and applications of symmetric functions in mathematics.

Explore how median-dual regions simplify complex geometry in fluid dynamics.

Explore the fascinating world of Dudeney's triangle and square puzzle.

Discover the fascinating world of graph manifolds and the Thurston norm.

Dive into the captivating world of polynomials and Julia sets.

Explore the vibrant interplay of matrices and patterns in mathematics.

Discover the intriguing relationship between different shapes and spaces in mathematics.

Explore the thrilling twists of mathematical singularities and their secret lives.

Discover how mass centers function in different geometries, from flat to curved spaces.

Discover the complexities of knots and links in mathematics.

Dive into the fascinating world of four-dimensional shapes and their classification.

Discover the intriguing world of topology through compactness and finiteness.

Discover how geometry shapes learning processes in statistics and neural networks.

Discover the importance of homological smoothness in algebraic structures.