Latest Articles for Geometry

A look into the residual finiteness of Lie groups and their subgroups.

A look into cyclotomic DAHAs and their role in modern mathematics.

A look at Riemann surfaces and their significance in mathematics.

An overview of curves, Jacobians, and finite groups in mathematics.

A look at matching polytopes, Gorenstein types, and their integer properties.

A look into power lattices and their significance in various mathematical fields.

Explore the significance of circle packings in understanding geometric surfaces.

A look into invariant spinors and their significance in geometry and Lie algebras.

An overview of canonical and paracanonical curves and their projections.

Exploring the connections between geometry and algebra through Hitchin representations.

A deep dive into the nature and importance of tensor ranks.

Discovering connections between complex reflection groups and linear differential equations.

An overview of the Chern form in the context of étale groupoids.

Exploring lattices and left-orderability in higher-rank semisimple Lie groups.

An exploration of rigid analytic spaces and their role in mathematics.

Explore the foundational concepts of symplectic geometry and its applications.

Exploring how Shafarevich-Tate twists influence complex geometries through Lagrangian fibrations.

This article reviews the complement of the skeleton in higher dimensional Berkovich spaces.

A look into the properties and significance of geodesic balls in curved spaces.

Explore the concepts of isometric and conformal embeddings in surface geometry.

A look into how shapes can be transformed and studied through maps.

Understanding smooth manifolds through triangulations and their properties in topology.

Explore the unique properties and structures of projective rectangles and their graphs.

A closer look at how tangles relate to character varieties in geometry.

A fresh perspective on fluid dynamics using sub-Riemannian Navier-Stokes equations.

Explore the significance of harmonic spinors and 1-forms in geometry and topology.

An exploration of how matrices and eigenvalues relate on various surfaces.

Discover the role of simple Lie algebras in mathematics and physics.

Exploring the connections between curved Ovsienko-Redou and GJMS operators.

Exploring the structure and features of nilpotent groups and torsion-free elements.

A look into the Thurston norm and its relation to 2-bridge links in 3-manifolds.

An overview of Dirichlet spaces and their role in harmonic functions.

Exploring algorithms for key geometric optimization challenges and their applications.

Research connects Weil-Petersson volumes with quantum gravity and algebraic geometry.

A look into the atomic Leibniz rule and its mathematical significance.

Exploring the significance of Hardy spaces and operators in understanding mathematical functions.

This article explores the relationship between matrix quantum mechanics and tensor networks in physics.

A study on refined Strichartz estimates for the Schrödinger equation in curved spaces.

Examining how shapes change over time through curvature analysis.

Exploring how ancient solutions reveal shape behaviors over time.