Latest Articles for Geometry

A study on using the photography method to analyze Dijkgraaf-Witten invariants in manifolds.

Discover the unique properties and applications of grid polyominoes in mathematics.

A look at octonion algebras and their connections to quadratic forms.

A look into rigid matroids and their connections in mathematics.

A look into the significance of posets and their polytopes in mathematics.

This article examines the significance of translation planes and hyperovals in geometry.

Study reveals exponential growth of lengths in hyperbolic orbifolds.

A look into how point arrangements can shift while maintaining order.

A simple breakdown of weighted chordal graphs and their significance.

An exploration of the Yamabe problem in geometry and curvature.

Explore how conformal dimensions reflect the structure of Brownian motion's random paths.

A deep dive into lattice polygons and their mathematical significance.

An overview of weighted extremal manifolds and their significance in geometry and algebra.

A look into meromorphic projective structures and their role in geometry and algebra.

Explore the connections between Kac-Moody groups and their symmetric spaces.

A look at the simple yet effective design of the Prytz planimeter.

Examining advancements in the Selberg trace formula and its implications for automorphic functions.

An overview of even orthogonal Grassmannians and their mathematical significance.

Exploring the latest developments in motives and Selmer groups in mathematics.

Exploring methods to study overlapping curves in geometry and algebra.

An overview of conformal points and their significance in mathematics and geometry.

Exploring the relationships in prime numbers and their unique arrangements.

Explore how randomness shapes angles in geometrical probability.

A study on the significance of conductors in number theory and representation theory.

Study the structure and properties of groups in valued fields.

Explore the relationships between nested ellipses, rotation numbers, and dynamical systems.

A study on how computers can create interesting geometric theorems.

A look at vector spaces, special bases, and their role in group theory.

This paper discusses methods to address the Falconer distance set problem using new estimates.

This article examines the role of projections in mathematics and their applications.

Explore the intricate world of Kähler manifolds and their unique geometric properties.

A look into the role of Lie algebras in symmetry and transformations.

Discover how shapes change over time in geometry through mean curvature flow.

Exploring the relationship between line arrangements and algebraic ideals.

A study on point arrangements and their implications in combinatorics and group theory.

Exploring the significance and applications of Filippov algebroids in mathematics.

Exploring complex geometric shapes and their role in mathematics and physics.

This research delves into the links between geometry and quantum gravity theories.

Exploring the relationship between graphs and curves through quasistable divisors.

Exploring the significance of symmetric cones in mathematics and beyond.