Latest Articles for Geometry

This article explains moduli spaces and the significance of Virasoro constraints.

An overview of automorphic forms and their significance in number theory and beyond.

Exploring the relationships between shapes through symmetries and mathematical structures.

Examining the links between Feynman integrals and Calabi-Yau manifolds in theoretical physics.

Explore particle movement and its mathematical pathways in a structured space.

Exploring the ties between quantum systems and mathematical functions.

An overview of tropical moduli maps and their role in algebraic curve study.

Exploring the unique features and applications of elliptic surfaces in mathematics.

This article explains the fragmentation property of Hamiltonian diffeomorphisms in mathematics.

Learn how algebra helps us understand complex systems in physics.

Explore the significance of spindle solutions in understanding M5-branes and SCFTs.

Discover intriguing aspects of the Furstenberg problem and its implications.

This article discusses the relationship between Poisson cohomology and Lefschetz singularities.

Source identities connect various mathematics fields and enhance understanding of complex systems.

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.