Latest Articles for Geometry

Exploring the Wodzicki residue through groupoids and filtered manifolds.

A look into Brauer classes and their specializations on K3 surfaces.

A look into how piercing numbers relate to convex sets and their applications.

Exploring the significance of critical values in number theory and automorphic representations.

Exploring the links between three-manifolds, fundamental groups, and algebraic structures.

A look into the role of Calabi-Yau manifolds in understanding fundamental physics.

This article examines the behavior of axially symmetric surfaces and their Willmore energy minimizers.

This article examines the rigidity and non-rigidity of hyperbolic manifolds and their implications.

An overview of quasiregular mappings, focusing on Julia limiting directions and growth rates.

A comprehensive look at discrete differential operators and their applications in mathematics.

This article explores well-rounded ideal lattices in cyclic cubic and quartic fields.

Explore the connections and properties of elliptic K3 surfaces and derived equivalence.

Explore the essential concepts and arrangements within Coxeter groups.

Exploring logarithmic functions of multivectors within three-dimensional Clifford algebra.

This article discusses wall-crossing phenomena in curve moduli spaces and Brill-Noether classes.

A look into Poisson-Voronoi tessellations and their applications in hyperbolic geometry.

This paper broadens the application of the Maurer-Cartan equation in algebra.

Explore the relationships and cycles in edge disjointness graphs.

An overview of maximal functions and their significance in manifold analysis.

A look into foliations, singular loci, and their classification challenges.

A look into the connections between algebraic varieties and finite groups.

Learn how Voronoi diagrams optimize floodlight placement for effective illumination.

A look into the significance and applications of Urysohn universal ultrametric spaces.

Exploring the structure and properties of almost complex manifolds through new cohomological perspectives.

Explore the connections between derived rings and cohomology in mathematics.

This article analyzes how curves change shapes over time.

Explore the beauty and complexity of shapes fitting together in perfect harmony.

Explore the interactions of points and lines in geometry and their implications.

Explore the properties and applications of Sidon spaces in mathematics.

Exploring horospheres and their behavior in random geometric systems.

An overview of generators and their role in algebraic geometry and sheaves.

Discover the properties and applications of twin buildings in geometry and group theory.

Exploring critical curves and orbits in symbolic dynamics.

A look into the Mahler conjecture and the slicing conjecture in convex geometry.

A concise overview of key concepts and applications in topology.

Research highlights unique electronic properties from hyperbolic tilings.

A method revealing complex relationships in mathematics via spectral curves.

Exploring instantons and orbifolds reveals deep connections in mathematics and physics.

Explore a classic geometry problem that seeks to minimize distances among points.

A look into the properties and characteristics of random planar maps.