ANNALS OF MATHEMATICS

Scope & Guideline

Innovating Solutions through Rigorous Research

Introduction

Explore the comprehensive scope of ANNALS OF MATHEMATICS through our detailed guidelines, including its aims and scope. Stay updated with trending and emerging topics, and delve into declining areas to understand shifts in academic interest. Our guidelines also showcase highly cited topics, featuring influential research making a significant impact. Additionally, discover the latest published papers and those with high citation counts, offering a snapshot of current scholarly conversations. Use these guidelines to explore ANNALS OF MATHEMATICS in depth and align your research initiatives with current academic trends.
LanguageEnglish
ISSN0003-486x
PublisherPrinceton Univ, Dept Mathematics
Support Open AccessNo
CountryUnited States
TypeJournal
Convergefrom 1996 to 2024
AbbreviationANN MATH / Ann. Math.
Frequency6 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address311 Fine Hall, Washington Road, PRINCETON, NJ 08544, UNITED STATES

Aims and Scopes

The Annals of Mathematics is a premier journal dedicated to the publication of original research articles in all areas of pure and applied mathematics. The journal aims to foster the advancement of mathematical knowledge by providing a platform for high-quality research that contributes to the development and understanding of mathematical theories and methods.
  1. Algebraic Geometry and Number Theory:
    This area encompasses research on varieties, schemes, and their properties, as well as the interaction between number theory and algebraic geometry, including conjectures and proofs related to modular forms and arithmetic geometry.
  2. Topology and Geometry:
    The journal often features works on various topological spaces, homology, and geometric structures, including studies of manifolds and their properties in different dimensions.
  3. Analysis and Differential Equations:
    Papers in this scope focus on real and complex analysis, partial differential equations, and dynamical systems, exploring both theoretical developments and applications.
  4. Representation Theory and Lie Algebras:
    Research on representations of groups and algebras, including studies of symmetry, invariants, and their applications in various mathematical contexts.
  5. Combinatorics and Graph Theory:
    The journal includes articles that explore combinatorial structures, graph properties, and their interactions with other mathematical disciplines.
  6. Mathematical Physics:
    This scope covers the mathematical foundations of quantum mechanics, statistical mechanics, and other areas where mathematics intersects with physical theories.
Recent publications in the Annals of Mathematics reveal emerging trends and themes that are gaining traction among researchers. These themes reflect current interests and advancements in various mathematical fields.
  1. Higher-Dimensional Algebra:
    Research in higher-dimensional algebra and category theory is increasingly prominent, indicating a growing interest in abstract structures that generalize classical algebraic concepts.
  2. Mathematical Aspects of Machine Learning:
    Emerging studies exploring the mathematical foundations and implications of machine learning algorithms signify a trend where mathematics meets computational sciences, reflecting the interdisciplinary nature of modern research.
  3. Nonlinear Dynamics and Chaos Theory:
    The exploration of nonlinear dynamics, particularly in the context of differential equations and dynamical systems, is becoming more frequent, highlighting an interest in complex systems and their behaviors.
  4. Geometric and Topological Data Analysis:
    With the rise of data science, there is an increased focus on using geometric and topological techniques to analyze and interpret high-dimensional data, marking a significant intersection between mathematics and applied fields.
  5. Quantum Computing and Information Theory:
    As quantum technologies advance, research into the mathematical underpinnings of quantum computing and information theory is emerging as a vital area of interest, showcasing the relevance of mathematics in cutting-edge technology.

Declining or Waning

While the Annals of Mathematics continues to thrive in many areas, certain themes have seen a noticeable decline in recent publications. This decline may reflect shifts in research focus or the completion of previously popular inquiries.
  1. Classical Geometry:
    Research specifically focused on classical geometric concepts, such as Euclidean and non-Euclidean geometries, has seen a decrease in frequency. This may be due to the shift towards more abstract and higher-dimensional geometric theories.
  2. Elementary Number Theory:
    While number theory remains a vibrant field, traditional topics such as elementary techniques and classical results are less frequently encountered in recent publications compared to more advanced or abstract approaches.
  3. Combinatorial Games:
    The study of combinatorial games, while still relevant, appears to be less prominent in the journal’s recent issues, possibly overshadowed by more pressing or complex mathematical problems.

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