Latest Articles for Algebra

Learn how algebra helps us understand complex systems in physics.

This article reveals minimal cellular resolutions for path ideals in graph theory.

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

We introduce a probabilistic approach to combinatorial proofs and polynomial identities.

Exploring the connections between semisimple Lie groups and various fields of mathematics and physics.

An analysis of sutured manifolds and their relationships with various homologies.

New algorithm improves twisted conjugacy problem solutions in odd dihedral Artin groups.

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.

This article presents -monoids, expanding the concept of free monoids into higher dimensions.

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 into three-manifolds, foliations, and Heegaard Floer homology.

Exploring the relationship between non-intersecting paths and Pfaffians in mathematics.

Explore the role of hypergeometric functions in number theory and beyond.

An overview of composite theories and their significance in modern mathematics.

A simplified look at universal sets and their sumsets in mathematics.

Discover the role of pullbacks in understanding relative monads and their applications.

This article examines the relationship between varieties, connectedness, and log uniruledness.

A look into monoidal categories and their applications within mathematics.

Examining a new operator in representation theory and its implications.

Matricubes offer insights into arrangements of mathematical objects through flags and rank functions.

The Identity and Group Problems shape our understanding of matrix structures.

Exploring the relationship between dimer models, boundary algebras, and positroids.

A foundational theorem in representation theory of algebraic groups.

Discover the unique concept of hyperrings and their applications across various fields.

A look at Galois groups and their role in special groups and quadratic forms.

A look into the properties and significance of partial lattices in mathematics.

A deep dive into Littlewood identities and their significance in mathematics.

A look into the characteristics and classification of thin simplices.

A clear look at projections and their role in algebra.

This article discusses solving twisted conjugacy in even dihedral Artin groups.

Research sheds light on schemes and their properties within algebraic geometry.

A look at the relationships between modules and algebras using category theory.

An overview of automorphism groups, cohomology, and their applications in mathematics.

Exploring the significance of group representations and p-adic groups in modern mathematics.