COMPOSITIO MATHEMATICA

Scope & Guideline

Advancing Mathematical Frontiers

Introduction

Welcome to the COMPOSITIO MATHEMATICA information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of COMPOSITIO MATHEMATICA, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageMulti-Language
ISSN0010-437x
PublisherCAMBRIDGE UNIV PRESS
Support Open AccessNo
CountryUnited Kingdom
TypeJournal
Convergefrom 1996 to 2024
AbbreviationCOMPOS MATH / Compos. Math.
Frequency12 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressEDINBURGH BLDG, SHAFTESBURY RD, CB2 8RU CAMBRIDGE, ENGLAND

Aims and Scopes

COMPOSITIO MATHEMATICA is a journal dedicated to publishing high-quality research in various areas of mathematics. Its scope encompasses a wide range of topics, particularly focusing on algebraic geometry, representation theory, arithmetic geometry, and mathematical physics. The journal aims to foster the interaction between different mathematical disciplines and promote innovative methodologies in research.
  1. Algebraic Geometry:
    The journal frequently publishes articles exploring the geometric properties of algebraic varieties, including moduli spaces, rational points, and intersection theory.
  2. Number Theory:
    Several papers delve into number-theoretic aspects, particularly in relation to modular forms, Galois representations, and arithmetic geometry.
  3. Representation Theory:
    Research on representations of algebraic groups, Hecke algebras, and their applications in various mathematical contexts is a consistent focus.
  4. Cohomology and Homotopy Theory:
    The exploration of cohomological methods and homotopy theory is prevalent, with papers addressing topics such as étale cohomology and derived categories.
  5. Mathematical Physics:
    The intersection of mathematics and physics is represented through studies in symplectic geometry, quantum field theory, and related areas.
  6. Geometric Topology:
    Research in geometric topology, including studies of manifolds, knots, and their invariants, is also a significant component of the journal's offerings.
  7. Category Theory:
    The journal includes works that utilize category-theoretic frameworks to address problems in various mathematical fields, enhancing the understanding of structural relationships.
In recent years, COMPOSITIO MATHEMATICA has seen an emergence of new themes and methodologies that reflect contemporary trends in mathematical research. These evolving areas indicate a dynamic response to the challenges and advancements within the field.
  1. Motivic Cohomology and Algebraic Cycles:
    There is a growing interest in motivic cohomology and its applications, particularly in understanding algebraic cycles and their properties.
  2. Derived Categories and Homotopical Algebra:
    Research involving derived categories, triangulated categories, and homotopical methods is on the rise, showcasing a modern approach to algebraic geometry and representation theory.
  3. Arithmetic Geometry and Moduli Problems:
    The exploration of moduli spaces and their applications in arithmetic geometry is increasingly prominent, indicating a strong connection between geometry and number theory.
  4. Noncommutative Geometry:
    Noncommutative geometry is witnessing a resurgence, with papers discussing its implications in various mathematical contexts, including algebraic topology and mathematical physics.
  5. Quantum Field Theory and Algebraic Structures:
    The interaction between quantum field theory and algebraic structures is emerging, with research focusing on how mathematical concepts can inform physical theories.
  6. Symplectic Geometry and its Applications:
    An increasing number of articles are dedicated to symplectic geometry, particularly its applications to both mathematics and physics, reflecting the field's growing importance.

Declining or Waning

While COMPOSITIO MATHEMATICA has maintained a broad and diverse range of topics, there are certain areas that appear to be losing prominence in recent publications. This decline may reflect shifting interests within the mathematical community or the saturation of particular research themes.
  1. Elementary Number Theory:
    Papers focused on classical elementary number theory are becoming less frequent, suggesting a shift towards more advanced or abstract approaches to number theory.
  2. Basic Algebraic Structures:
    Research on foundational algebraic structures, such as basic ring theory or field theory, seems to be declining as more complex and applied areas gain traction.
  3. Classical Geometry:
    Topics in classical geometry, particularly those that do not intersect with modern computational or algebraic approaches, are observed to be less prevalent.
  4. Real Analysis:
    There is a noticeable decrease in papers addressing traditional real analysis, hinting at a possible trend towards more complex or applied analytical methods.

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