EXPOSITIONES MATHEMATICAE

Scope & Guideline

Championing Excellence in Mathematical Scholarship

Introduction

Welcome to the EXPOSITIONES MATHEMATICAE 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 EXPOSITIONES MATHEMATICAE, 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
ISSN0723-0869
PublisherELSEVIER GMBH
Support Open AccessNo
CountryGermany
TypeJournal
Convergefrom 2004 to 2024
AbbreviationEXPO MATH / Expo. Math.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressHACKERBRUCKE 6, 80335 MUNICH, GERMANY

Aims and Scopes

Expositiones Mathematicae is dedicated to advancing mathematical knowledge through the publication of original research articles that explore a wide range of mathematical disciplines. The journal focuses on both theoretical and applied mathematics, emphasizing innovative methodologies and interdisciplinary approaches.
  1. Nonlinear Analysis and Differential Equations:
    The journal prominently features research on nonlinear elliptic and parabolic problems, as well as on the dynamics of differential equations, often exploring their analytical and geometrical properties.
  2. Algebra and Number Theory:
    A significant volume of articles investigates algebraic structures, number theory, and related fields, including topics like Diophantine equations, algebraic topology, and homotopy theory.
  3. Geometry and Topology:
    Research related to various aspects of geometry, including geometric analysis, algebraic geometry, and topological properties of manifolds, is a core focus area, showcasing the interplay between geometry and mathematical physics.
  4. Functional Analysis and Operator Theory:
    The journal publishes works in functional analysis, particularly those addressing operator theory, including studies on spectral theory, Hilbert spaces, and operator algebras.
  5. Combinatorial and Graph Theory:
    There is a consistent emphasis on combinatorial mathematics and graph theory, with articles exploring applications in theoretical computer science and discrete mathematics.
  6. Mathematical Physics and Applications:
    Expositiones Mathematicae also emphasizes the mathematical foundations of physics, with studies that connect abstract mathematical concepts to physical theories, particularly in quantum mechanics and statistical mechanics.
Expositiones Mathematicae is witnessing the emergence of several trending themes that reflect the current interests in the mathematical community. These emerging topics not only highlight innovative research directions but also indicate potential future developments in mathematical sciences.
  1. Nonlinear Dynamics and Chaos Theory:
    Recent papers indicate a growing interest in nonlinear dynamics and chaotic systems, especially in relation to differential equations and their applications in various fields, including physics and engineering.
  2. Algebraic Geometry and Moduli Spaces:
    There is an increasing focus on algebraic geometry, particularly moduli spaces and their applications in number theory and theoretical physics, suggesting a vibrant intersection of these disciplines.
  3. Mathematical Machine Learning:
    The intersection of mathematics and machine learning is gaining traction, with more articles exploring mathematical models and theories that underpin machine learning algorithms, reflecting the rising importance of data science.
  4. Geometric Analysis and PDEs:
    Emerging trends highlight the significance of geometric analysis in the study of partial differential equations, with a particular emphasis on their geometric properties and applications.
  5. Applications of Category Theory:
    There is a noticeable increase in research utilizing category theory to provide a unifying framework for various mathematical concepts, signaling a trend towards abstract and foundational approaches in mathematics.

Declining or Waning

While Expositiones Mathematicae has consistently covered a diverse range of mathematical topics, some areas have shown a decline in publication frequency, indicating a shift in focus or interest among researchers.
  1. Classical Analysis:
    Research in classical analysis, particularly in areas like real analysis and complex variables, has seen a noticeable reduction, possibly due to the increasing emphasis on more modern analytical techniques or interdisciplinary approaches.
  2. Elementary Number Theory:
    There has been a decrease in the exploration of elementary number theory topics, suggesting a potential shift towards more complex and abstract aspects of number theory, such as algebraic number theory.
  3. Historical Mathematics:
    Papers focusing on the historical aspects of mathematics or the biographies of mathematicians have become less common, indicating a waning interest in this niche area of research.
  4. Purely Theoretical Mathematics:
    The trend shows a decline in publications that focus solely on theoretical mathematics without practical applications, perhaps reflecting a broader trend towards applied mathematics and interdisciplinary research.

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