Algebra and Number Theory
A section of Axioms (ISSN 2075-1680).
Section Information
‘Algebra and Number Theory’ is a Section of Axioms, an open-access, peer-reviewed online journal. Our goal is to solicit and publish original, high-quality papers in all areas of algebra and number theory, broadly conceived, including algebraic combinatorics and algebraic geometry. We will also consider timely reviews and surveys of particular areas and trends of current interest. We especially encourage the submission of papers applying the methods of algebra and/or number theory to adjacent fields of science such as mathematical physics, quantum field theory, and quantum computers.
Keywords
- Additive and multiplicative number theory
- Algebraic geometry
- Algebraic combinatorics, algebraic graph theory
- Algebraic groups
- Algebraic number theory, local and global methods
- Algebraic and arithmetic methods in theoretical physics and computer science
- Automorphic forms, modular forms, L-functions
- Associative rings and algebras
- Category theory
- Commutative algebra
- Distribution of prime numbers
- Group theory and representation theory of groups
- Hopf algebras and quantum groups
- Lattice theory
- Lie algebras and their representations
- Nonassociative algebras
- p-adic methods in number theory
- Vertex algebras and their representations
Editorial Board
Topical Advisory Panel
Special Issues
Following special issues within this section are currently open for submissions:
- Advances in Applied Algebra and Related Topics (Deadline: 30 April 2026)
- New Perspectives in Lie Algebras, 2nd Edition (Deadline: 30 May 2026)
- Advances in Hopf Algebras, Tensor Categories and Related Topics (Deadline: 31 August 2026)
- Matrices and Tensors over General Algebras with Applications (Deadline: 30 September 2026)
- Numerical Algebra and Its Applications (Deadline: 30 September 2026)
- Graph Invariants and Their Applications (Deadline: 31 October 2026)
- Topological Algebras and Related Topics (Deadline: 31 October 2026)
- Elliptic Curves, Modular Forms, L-Functions and Applications (Deadline: 30 November 2026)
- Advances in Linear Algebra with Applications, 2nd Edition (Deadline: 30 December 2026)
- Computational Algebra, Coding Theory and Cryptography: Theory and Applications, 3rd Edition (Deadline: 31 December 2026)
- Advances in Representation Theory of Algebras (Deadline: 31 January 2027)
- Advances and Applications in Graph Theory (Deadline: 31 January 2027)
