PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
Scope & Guideline
Charting new territories in mathematical thought.
Introduction
Aims and Scopes
- Algebra and Lie Theory:
Research in this area includes studies on automorphic Lie algebras, algebraic structures, and their applications, highlighting the interplay between algebra and geometry. - Functional Analysis and PDEs:
The journal publishes works on functional analysis, including operator theory and partial differential equations (PDEs), focusing on existence, uniqueness, and behavior of solutions. - Geometric Analysis and Topology:
Papers often explore topics in geometric analysis, including the study of manifolds, curvature, and other topological properties, contributing to the understanding of geometric structures. - Number Theory and Combinatorics:
The journal includes research on number theory, including congruences and partitions, reflecting a strong interest in the properties of numbers and combinatorial structures. - Mathematical Physics and Dynamical Systems:
Publications in this category cover topics related to mathematical physics, including wave equations, dynamical systems, and their mathematical formulations. - Complex Analysis and Geometry:
Research contributions focus on complex functions, analytic spaces, and their geometric implications, illustrating the deep connections between analysis and geometry. - Probabilistic Methods and Stochastic Processes:
The journal features studies involving stochastic processes, random variables, and their applications in various mathematical contexts.
Trending and Emerging
- Nonlinear Analysis and PDEs:
There is a growing trend in the publication of papers addressing nonlinear phenomena and their mathematical modeling, particularly in the context of PDEs, highlighting the relevance of these methods in various scientific fields. - Algebraic Geometry and Topological Methods:
Recent publications show an increased focus on algebraic geometry, particularly in connection with topological aspects and their applications in modern mathematical problems. - Quantum and Statistical Mechanics:
The journal reflects a rising interest in the intersection of mathematics with quantum mechanics and statistical theories, indicating a trend towards the mathematical formulation of physical concepts. - Higher-Dimensional Algebra and Homotopy Theory:
Research exploring higher-dimensional algebraic structures and their implications in homotopy theory is on the rise, suggesting a shift towards more abstract and generalized frameworks. - Interdisciplinary Applications of Mathematics:
Emerging themes include the application of mathematical concepts to areas such as cryptography, data science, and complex systems, reflecting a broader interdisciplinary approach in mathematical research.
Declining or Waning
- Classical Geometry:
While geometric topics remain relevant, there has been a noticeable decline in the publication of papers solely focused on classical Euclidean geometry, suggesting a shift towards more abstract geometric frameworks. - Elementary Number Theory:
Research that traditionally focused on elementary techniques in number theory appears to be waning, as more complex and computational approaches take precedence in recent publications. - Basic Combinatorial Structures:
Papers dealing with fundamental combinatorial problems and structures have decreased, possibly indicating a trend towards more advanced combinatorial theories and applications. - Linear Algebra Applications:
The frequency of papers centered on elementary applications of linear algebra has diminished, as the field expands into more sophisticated areas involving higher-dimensional and abstract algebraic structures.
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