Latest Articles for Geometry

An overview of projections, dimensions, and their properties in various spaces.

This article explores how shape intersections function in Riemannian manifolds.

Exploring the connections between semisimple Lie groups and various fields of mathematics and physics.

Exploring the connections between symplectic and algebraic properties in bielliptic surfaces.

An analysis of sutured manifolds and their relationships with various homologies.

This study explores how twisting affects elliptic curve ranks and properties.

Exploring the structure and significance of relatively hyperbolic groups in mathematics.

Exploring Teichmüller curves and their significance in understanding surface properties.

An overview of essential ideas in schemes and cohomology within algebraic geometry.

A look into how Hausdorff dimension relates to complex dynamical systems.

A look into the behavior of flows and knots within manifolds.

A look into the complex nature of submanifolds in Heisenberg groups.

Exploring the connection between metrics and geometry in bounded symmetric domains.

An exploration of geodesic flow and its patterns in complex, non-integrable manifolds.

A look into Shimura varieties and their significance in mathematics.

This article examines differential operators and their relationship with vector fields on manifolds.

Explore the unique properties of plane quartics and their connections in mathematics.

A look into the counting of points in toric varieties and their properties.

A look at how mappings behave in differential inclusions and their implications.

A look into the properties and significance of infinite-type surfaces.

Exploring the relationship between gauge theories, ADE singularities, and Chern-Simons theory.

Examining unique arrangements of convex polygons in non-repeating tiling patterns.

An overview of tiling spaces, diffeology, and fiber bundles.

A look into three-manifolds, foliations, and Heegaard Floer homology.

This paper examines essential curves on a cube with vertex holes.

Exploring constraints in mechanical movement and their implications for dynamics.

Exploring the role and properties of Spin(7)-structures in modern mathematics.

Exploring the relationship between Virasoro constraints and K3 surfaces in mathematics.

A study on counting rational curves touching simple normal crossings.

Exploring contact structures and their role in geometry.

A guide to the study of complex manifolds and their properties.

This article examines the relationship between varieties, connectedness, and log uniruledness.

Examining Hamiltonian diffeomorphisms and their impact on surface structures.

A study of polytopes formed from multipartite graphs and their properties.

Matricubes offer insights into arrangements of mathematical objects through flags and rank functions.

An overview of Carnot groups and their applications in control theory and path optimization.

Exploring the relationship between dimer models, boundary algebras, and positroids.

Discover the significance of Blaschke's theorem in convex shapes and their interactions.

Discover the unique concept of hyperrings and their applications across various fields.

A look at Galois groups and their role in special groups and quadratic forms.