Latest Articles for Geometry

Exploring the study of surfaces in geometry and topology.

Exploring random walks on the associahedron and their mixing times.

Exploring normal curvatures and their implications for geometric structures.

A look into the study of varieties in algebraic geometry.

Examining the connection between hypergeometric functions and modular forms in mathematics.

An exploration of unique properties and boundaries in Carnot groups.

A look into hyperbolic groups, their growth, and boundary representations.

Exploring the connections between generic motives and motivic cohomology in mathematics.

Exploring harmonic functions and their measures in Hadamard manifolds.

This article examines end-periodic homeomorphisms and their mapping tori in topology.

A look into reflection-symmetric graphs and their possible flexible arrangements.

A look into self-affine fractals and their dimensions through sofic sets.

Exploring geometric concepts related to curves and their unique properties.

An overview of twisted Hilbert spaces and their unique properties.

Exploring the connections between elliptic curves and number theory.

Explore the classification and unique characteristics of triangles.

This article examines privileged coordinates and their role in revealing spacetime structure.

A look into the figure-eight knot and its geometric features.

Researching connections between varieties through categorical Torelli theorems and hypersurfaces.

Exploring the relationship between homeomorphisms, fixed points, and chain recurrence.

A look into the affine line's significance in modern mathematics.

A look into complex manifolds and their significant properties.

An analysis of Hermitian type Lie groups and their significance in representation theory.

An introduction to Higgs bundles and their harmonic metrics on hyperbolic surfaces.

Discover the relationships between varieties through mirror symmetry and Clarke pairs.

This study expands dimer models and explores complex surfaces using the web trace theorem.

An exploration of the classification of abelian varieties using moduli spaces.

A look at Sobolev spaces and their significance in analysis and differential equations.

Explore the unique properties and constructions of Poncelet polygons in geometry.

This article examines symplectic geometry and its interplay with quantum cohomology.

Exploring the relationships between shapes formed by lines and conics.

An overview of symplectic cohomology and its key concepts.

Exploring girth in groups acting on CAT(0) cube complexes.

An overview of L-infinity structures and their role in quantum theories.

Exploring the connections between geometry, algebra, and physics through mirror symmetry.

A look into the world of geometric configurations and their challenges.

HOBO offers an efficient way to find Pythagorean triples.

An overview of the connection between vector spaces and quadratic forms.

An overview of the relationship between Calabi-Yau operators and paramodular forms.

Exploring the properties and implications of hypersurfaces in Minkowski space.