Documenta Mathematica

Scope & Guideline

Elevating Scholarly Discourse in Mathematics

Introduction

Welcome to the Documenta 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 Documenta 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.
LanguageEnglish
ISSN1431-0643
PublisherEUROPEAN MATHEMATICAL SOC-EMS
Support Open AccessYes
CountryGermany
TypeJournal
Convergefrom 2002 to 2024
AbbreviationDOC MATH / Doc. Math.
Frequency-
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressPUBLISHING HOUSE GMBH INST MATHEMATIK TECHNISCHE UNIV BERLIN STRASSE 17, JUNI 136, BERLIN 10623, GERMANY

Aims and Scopes

Documenta Mathematica is a journal dedicated to publishing high-quality research in various branches of mathematics, focusing on innovative approaches and the development of new theories. The journal emphasizes a wide array of mathematical disciplines, reflecting both classical and contemporary trends in mathematics.
  1. Algebraic Geometry and Algebraic Topology:
    The journal features significant contributions to algebraic geometry, including the study of moduli spaces, Chow rings, and motivic cohomology, along with topological aspects of algebraic structures.
  2. Representation Theory and Group Theory:
    Research on representations of groups, particularly in relation to algebraic structures and their applications in number theory, is a core focus, including work on Galois representations and quantum groups.
  3. Category Theory and Homological Algebra:
    The journal often includes papers on category theory, derived categories, and homological properties, providing insights into the structural aspects of various mathematical frameworks.
  4. Mathematical Physics:
    There is a notable emphasis on mathematical physics, with papers exploring the interplay between mathematics and physical theories, particularly in areas such as quantum mechanics and statistical mechanics.
  5. Number Theory and Arithmetic Geometry:
    Papers addressing number theory, including Iwasawa theory, motives, and modular forms, reflect the journal's commitment to foundational aspects of mathematics and their interrelations.
  6. Differential Geometry and Analysis:
    The journal includes research on differential geometry, particularly focusing on geometric flows, curvature conditions, and their applications in geometric analysis.
Documenta Mathematica reflects evolving interests in the mathematical community, with certain themes gaining traction in recent years. The following emerging scopes illustrate where research focus is intensifying, indicating potential future directions for the field.
  1. Motivic Cohomology and Algebraic K-Theory:
    There is a growing interest in motivic cohomology and its applications in algebraic K-theory, showcasing a trend towards exploring deeper connections between algebraic geometry and homotopical algebra.
  2. Derived Categories and Homotopical Algebra:
    Papers exploring derived categories, triangulated categories, and their applications in various mathematical contexts are increasingly prevalent, reflecting a shift towards more abstract and categorical methods.
  3. Arithmetic Geometry and Galois Theory:
    Research at the intersection of arithmetic geometry and Galois theory is on the rise, emphasizing the study of Galois representations and their implications for number theory.
  4. Geometric Representation Theory:
    Emerging themes in geometric representation theory, particularly related to quantum groups and their geometric realizations, indicate a growing interest in the interplay between geometry and representation theory.
  5. Noncommutative Geometry:
    The exploration of noncommutative geometry and its applications in various fields of mathematics and physics is gaining momentum, reflecting a trend towards innovative approaches to classical problems.

Declining or Waning

While Documenta Mathematica continues to thrive in many areas, certain themes appear to be declining in prominence based on recent publications. This section highlights these waning topics, suggesting a shift in research focus among contributors.
  1. Classical Real Analysis:
    Research in classical real analysis seems to be less represented, with fewer papers focusing on traditional topics such as measure theory and functional analysis, indicating a shift towards more abstract and algebraic approaches.
  2. Elementary Number Theory:
    Papers that delve into elementary aspects of number theory, such as basic divisibility and prime number distribution, are becoming less common, possibly overshadowed by more sophisticated topics like arithmetic geometry.
  3. Basic Combinatorial Structures:
    There appears to be a decline in studies centered on basic combinatorial techniques and structures, as the journal's scope increasingly leans towards more complex algebraic and geometric frameworks.
  4. Elementary Topology:
    Research focusing on elementary topology concepts and problems is also on the decline, as more advanced topological theories gain traction in contemporary mathematical discourse.

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