ADVANCES IN GEOMETRY

Scope & Guideline

Exploring the Frontiers of Geometry and Topology

Introduction

Welcome to the ADVANCES IN GEOMETRY 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 ADVANCES IN GEOMETRY, 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.
LanguageEnglish
ISSN1615-715x
PublisherWALTER DE GRUYTER GMBH
Support Open AccessNo
CountryGermany
TypeJournal
Convergefrom 2001 to 2024
AbbreviationADV GEOM / Adv. Geom.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY

Aims and Scopes

The journal 'Advances in Geometry' focuses on a broad spectrum of topics within the field of geometry, emphasizing both theoretical and applied aspects. Its research encompasses various mathematical disciplines, including algebraic geometry, differential geometry, and topology, with a strong emphasis on innovative methodologies and interdisciplinary approaches.
  1. Algebraic Geometry:
    Exploration of varieties, moduli spaces, and geometric structures, including studies on Fano varieties, K3 surfaces, and rational surfaces.
  2. Differential Geometry:
    Investigation into the properties and structures of differentiable manifolds, including Ricci solitons, harmonic maps, and metrics on manifolds.
  3. Topology and Geometric Group Theory:
    Analysis of topological properties of spaces, including tropical geometry, automorphisms, and structures of various manifolds.
  4. Combinatorial Geometry:
    Research on geometric configurations, polytopes, and arrangements, focusing on their combinatorial properties and applications.
  5. Geometric Analysis:
    Study of geometric structures through analytical methods, including the examination of curvature, flows, and solitons.
  6. Symplectic Geometry:
    Exploration of symplectic manifolds and their applications in physics and mathematics, with a focus on invariants and moduli spaces.
The journal 'Advances in Geometry' has seen a dynamic evolution in its research themes, with several topics gaining prominence in recent years. This section outlines the emerging areas that are increasingly being explored by authors.
  1. Tropical Geometry:
    An upsurge in publications related to tropical geometry indicates a growing interest in its applications to algebraic geometry and combinatorics, reflecting a trend towards integrating these fields.
  2. Geometric Flows:
    Research on geometric flows, such as Ricci flow and mean curvature flow, is on the rise, highlighting their importance in understanding the evolution of geometric structures.
  3. Moduli Spaces:
    An increasing focus on moduli spaces, particularly in connection with algebraic and symplectic geometry, suggests a trend towards understanding families of geometric objects and their classifications.
  4. Geometric Group Theory:
    The exploration of geometric group theory is gaining traction, with studies on groups acting on spaces and their geometric properties becoming more prevalent.
  5. Higher Dimensional Geometry:
    There is a notable trend towards research in high-dimensional geometry, including studies on polytopes and manifolds, reflecting the growing complexity and interest in these areas.

Declining or Waning

While 'Advances in Geometry' continues to thrive in numerous areas, certain themes have shown signs of declining interest or publication frequency in recent years. This section highlights those areas that may be waning in prominence within the journal.
  1. Complex Geometry:
    Papers specifically focused on complex manifolds and their intricate structures have become less frequent, possibly due to a shift towards more algebraic or differential approaches.
  2. Real Algebraic Geometry:
    The exploration of real algebraic varieties and their geometric properties has seen a decline, with fewer publications addressing this niche compared to previous years.
  3. Traditional Convex Geometry:
    Studies centering on classical aspects of convex geometry are appearing less frequently, as the journal's focus moves towards more complex and higher-dimensional geometries.

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