Latest Articles for Geometry

Tropical geometry bridges algebraic geometry and combinatorics, revealing new insights into complex structures.

An overview of geodesics, Teichmüller space, and their implications in geometry.

An overview of key concepts in topology and their implications.

A tool for analyzing and resolving monomial ideals using advanced methods.

Exploring relationships between shapes, boundaries, and curvature in geometry.

A look into the key aspects of algebraic geometry and its significance.

Explore the concept of trees and their significance in mathematics and combinatorics.

A look into how mathematicians study complex shapes and their connections.

Learn about projective rectangles and their unique geometric properties.

A look into almost Hermitian manifolds and their geometric properties.

Explore the unique properties and theories surrounding convex shapes in geometry.

Simplifying the study of MV-algebras and their properties.

An introduction to Segre-Veronese manifolds and their relationship with tensors.

An overview of key mathematical concepts and their links to physics.

A look at string theory, geometric flows, and their impact on understanding the universe.

A simple guide to the Brylinski-Radon transform and its significance in mathematics.

A deep dive into the implications of Gromov and Sormani's conjecture.

An analysis of essential curves on genus one Seifert surfaces and their knot properties.

Explore the essential aspects of modular curves, including types and characteristics.

An overview of Redei-Berge symmetric functions and their significance in directed graphs.

This study explores the structure of submanifolds in geometry.

A look at geproci sets and their significance in modern geometry.

A study reveals insights into exceptional Lie groups and their relationships.

An insight into solutions of the Brezis-Nirenberg problem and their implications.

Exploring the role of maximal functions in understanding curves and geometric properties.

Study of vanishing theorems for vector bundles on Kähler manifolds.

Explore the unique patterns formed by quasiperiodic tilings and their material applications.

Exploring the neighborliness of polytopes formed from random points.

Explore the unique properties and applications of CAT spaces in mathematics.

Exploring the role of domains in understanding complex functions and their properties.

A method to study mathematical shapes defined by polynomial equations.

Exploring the links between uniform Roe algebras, geometric ideals, and rigidity problems.

A look into the geometry and properties of -bic hypersurfaces and their Fano schemes.

An overview of key features and significance of the Wallach flag manifold.

A look into Anick's resolution and its role in algebra.

A deep dive into surfaces and their mathematical properties.

Exploring the connections between geometry and Riemann surfaces.

Exploring the implications of fractional measures in mathematics.

Examining the colored Jones polynomial's growth related to knots and the Chern-Simons invariant.

A look into the Torelli group and its significance in surface mathematics.