GEOMETRY & TOPOLOGY

Scope & Guideline

Exploring the Boundaries of Mathematical Thought

Introduction

Delve into the academic richness of GEOMETRY & TOPOLOGY with our guidelines, detailing its aims and scope. Our resource identifies emerging and trending topics paving the way for new academic progress. We also provide insights into declining or waning topics, helping you stay informed about changing research landscapes. Evaluate highly cited topics and recent publications within these guidelines to align your work with influential scholarly trends.
LanguageEnglish
ISSN1465-3060
PublisherGEOMETRY & TOPOLOGY PUBLICATIONS
Support Open AccessNo
CountryUnited Kingdom
TypeJournal
Convergefrom 1997 to 2024
AbbreviationGEOM TOPOL / Geom. Topol.
Frequency-
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressUNIV WARWICK, MATHEMATICS INST, COVENTRY CV4 7AL, ENGLAND

Aims and Scopes

The journal 'Geometry & Topology' primarily focuses on advancing the understanding of geometric and topological phenomena through rigorous mathematical research. It encompasses a wide range of topics, reflecting the richness and diversity of modern geometry and topology.
  1. Algebraic Topology:
    Exploration of fundamental concepts and theories in algebraic topology, including homotopy theory, cohomology, and spectral sequences.
  2. Geometric Structures and Manifolds:
    Study of various geometric structures on manifolds, including symplectic, hyperbolic, and Riemannian geometries.
  3. Low-Dimensional Topology:
    Research focused on three-dimensional and four-dimensional manifolds, knot theory, and their invariants.
  4. Homotopy Theory and Categories:
    Investigations into homotopy types, higher category theory, and their applications across different mathematical fields.
  5. Representation Theory and Quantum Topology:
    Examination of representations of groups and algebras, including quantum invariants and their geometric interpretations.
  6. Moduli Spaces and Geometric Invariant Theory:
    Analysis of moduli spaces, their geometric properties, and applications to theoretical physics and algebraic geometry.
  7. Persistent Homology and Topological Data Analysis:
    Application of topological methods to data science, including persistent homology and its implications for understanding data shapes.
The journal has experienced a rise in interest in several emerging themes, reflecting the evolving landscape of research in geometry and topology. These areas are becoming increasingly significant in contemporary mathematical discourse.
  1. Higher Category Theory:
    There has been a notable increase in papers focusing on higher category theory, highlighting its relevance in modern mathematical frameworks and its connections to other fields.
  2. Topological Data Analysis:
    Research applying topology to data science is on the rise, particularly in the context of persistent homology and its applications in various scientific domains.
  3. Quantum Topology:
    Emerging interest in quantum invariants and their geometric implications is evident, with a growing number of studies exploring connections to physics.
  4. Geometric Group Theory:
    Research in geometric group theory is expanding, with a focus on understanding groups via their geometric actions and properties.
  5. Symplectic Topology:
    The study of symplectic manifolds and their invariants is gaining traction, reflecting a broader interest in the connections between topology and physics.
  6. Noncommutative Geometry:
    Research on noncommutative geometry and its applications to topology is becoming more prominent, indicating a shift towards integrating algebraic structures with topological insights.

Declining or Waning

Over recent years, certain themes within 'Geometry & Topology' have seen a decrease in publication frequency. This waning interest may reflect broader shifts in research focus or the emergence of new methodologies.
  1. Classical Knot Theory:
    While still relevant, classical knot theory has seen a decline as interest shifts towards more complex invariants and higher-dimensional knots.
  2. Basic Differential Geometry:
    Traditional topics in differential geometry, particularly those not intersecting with topology, appear to be less frequently explored in favor of more integrative approaches.
  3. Elementary Group Theory:
    Basic results and methods in group theory, especially those lacking topological applications, seem to be receiving less attention in recent publications.
  4. Finite Group Actions:
    Research on finite group actions on manifolds has decreased, possibly overshadowed by more intricate studies involving infinite groups and their topological implications.
  5. Homological Algebra without Topological Applications:
    There is a noticeable decline in the publication of purely homological algebra papers that do not connect to topological contexts.

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