Latest Articles for Geometry

This article examines the relationship between networks and linear partitions in BPS states.

Explore the fascinating world of Wang tiles and their significance in tiling and computation.

This study connects directed isoperimetry with efficient monotonicity testing methods.

A deep dive into the interplay of geometry and algebra through advanced concepts.

An overview of Feigin-Odesskii Poisson structures and their role in mathematics.

This article discusses geometric functional analysis and its connection to probability.

Exploring the links between shapes, mass, and geometry.

Exploring the links between matroid quotients and tropical geometry.

Examining the relationships between symplectic structures and their singularities.

A look into fractal trees, their length functions, and complexity.

A look into unexpected behaviors affecting gravitational models and their implications.

A study on geodesics, injectivity radius, and cut points within the Stiefel manifold.

Exploring the unique features of surface Houghton groups and their BNSR-invariants.

A look into differential complexes and their applications in science and math.

Modular forms connect number theory, geometry, and various mathematical fields.

Exploring analytic torsion and its significance in geometry and topology.

Explore the intriguing transformations of polygons through the pentagram map.

Exploring the properties and applications of symplectic forms in four-dimensional geometry.

Discover the unique properties and dynamics of infinite translation surfaces.

Convex sets play a crucial role in various mathematical fields and applications.

Explore foams in mathematics and their role in shapes and relationships.

This article reviews the blowing up process in minimal toric surfaces.

An overview of shellable complexes and their significance in various mathematical fields.

A look into symplectic geometry's role in magnetic billiards and shape capacities.

Explore the basics of log motives and their significance in modern mathematics.

This article examines tropical covers and their impact on moduli spaces.

Discover the exciting connections in geometry and algebra through Higgs bundles.

A deep dive into the structure of twisted simplicial distributions and their relevance to quantum mechanics.

Exploring string algebras and their importance in various mathematical fields.

A clear look at categories, functors, and modules in math.

Exploring methods for tiling unique hexagonal shapes using two types of tiles.

Exploring the role and applications of log schemes in modern mathematics.

A look into parking functions and their geometric representations.

Exploring the behavior of heat kernels in complex mathematical spaces.

A look into torsion pairs and their significance in mathematical structures.

Exploring the absence of generic chains in important topological spaces.

Exploring the behavior of random groups through fixed-point properties and density models.

A look into methods for classifying isotopy types of hypersurfaces in real algebraic geometry.

Examining solid modules in algebraic geometry for deeper insights.

A look into plane curves and their intersections, focusing on exceptional sets.