Latest Articles for Geometry

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.

Examining the link between geometry and physical theories through Calabi-Yau manifolds.

Explore how circles can cover darts on a hexagonal board.

Explore the role and applications of Simon-Łojasiewicz inequalities in various mathematical fields.

This study analyzes the chromatic numbers of four-dimensional lattices through Voronoi graphs.

An overview of knots, surfaces, and their mathematical relationships.

Exploring the unique properties and applications of antinorms in mathematics.

A deep dive into the smoothing of algebraic cycles in geometry.

A look into the connections and properties of mathematical spaces.

This article highlights the role of gluing invariants in symplectic geometry.

Exploring the localization of exotic diffeomorphisms in four-dimensional shapes.

This article explores the affine-additive group's structure and properties.

A look into the structure and importance of posets in mathematics.

Exploring the behavior of nonlinear Vlasov equations in chaotic geometrical spaces.

A look at gentle algebras and their significance in mathematics.

An overview of flat sub-Lorentzian structures and the Martinet distribution.

A look into matrix factorizations and their tensor products in mathematics.

A look into shapes that nearly minimize area or perimeter.