Pure and Applied Mathematics Quarterly

Scope & Guideline

Pioneering Insights in Pure and Applied Mathematics

Introduction

Welcome to the Pure and Applied Mathematics Quarterly 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 Pure and Applied Mathematics Quarterly, 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
ISSN1558-8599
PublisherINT PRESS BOSTON, INC
Support Open AccessNo
CountryUnited States
TypeJournal
Convergefrom 2007 to 2024
AbbreviationPURE APPL MATH Q / Pure Appl. Math. Q.
Frequency5 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressPO BOX 43502, SOMERVILLE, MA 02143

Aims and Scopes

The journal 'Pure and Applied Mathematics Quarterly' focuses on advancing knowledge in both pure and applied mathematics through rigorous research and innovative methodologies. It encompasses a broad spectrum of topics that highlight the interplay between theory and application across various mathematical disciplines.
  1. Geometric Analysis and Differential Geometry:
    This area includes research on the geometry of manifolds, curvature properties, and the stability of geometric structures, often employing techniques from differential equations and topology.
  2. Mathematical Physics:
    Papers in this domain explore the mathematical foundations of physical theories, including general relativity, quantum mechanics, and the analysis of spacetimes, often utilizing advanced calculus and algebraic techniques.
  3. Algebraic Geometry and Number Theory:
    This scope covers the study of geometric structures over algebraic varieties, including cohomology theories, modular forms, and arithmetic properties, emphasizing the connections between geometry and number theory.
  4. Functional Analysis and Operator Theory:
    Research in this area focuses on the properties and applications of linear operators and functional spaces, addressing topics such as spectral theory and the analysis of differential operators.
  5. Combinatorics and Graph Theory:
    This field includes studies on graph properties, combinatorial structures, and their applications in various mathematical contexts, highlighting the role of discrete mathematics in broader mathematical theories.
  6. Topology and Homotopy Theory:
    Papers investigate topological spaces, continuous functions, and homotopical properties, contributing to the understanding of shape and space in mathematical contexts.
  7. Mathematical Logic and Foundations:
    This area explores the underlying logical structures of mathematics, including set theory, model theory, and proof theory, emphasizing foundational questions and their implications for mathematical practice.
The journal has seen a notable increase in specific themes, reflecting contemporary mathematical challenges and the integration of various mathematical disciplines.
  1. Interdisciplinary Approaches:
    There is a growing trend towards research that bridges pure mathematics with applied fields, particularly in areas like mathematical physics and data science, indicating a shift towards practical applications of theoretical concepts.
  2. Nonlinear Dynamics and Stability Theory:
    Recent publications increasingly focus on the stability of solutions to nonlinear equations, particularly in geometric contexts, underscoring the relevance of these studies in both mathematics and applied sciences.
  3. Algebraic and Geometric Topology:
    An emerging focus on algebraic invariants and their geometric interpretations is evident, reflecting a resurgence of interest in the connections between topology and algebraic structures.
  4. Quantum Geometry and Mathematical Physics:
    Research at the intersection of quantum theory and geometry is on the rise, highlighting the importance of mathematical frameworks in understanding physical phenomena.

Declining or Waning

As the journal evolves, certain themes appear to be declining in prominence. This shift may reflect changes in research priorities or the emergence of newer areas of interest.
  1. Classical Analysis Techniques:
    While still relevant, traditional methods of analysis, such as those focusing exclusively on real and complex analysis without modern extensions, are less frequently discussed in recent publications.
  2. Elementary Number Theory:
    Papers solely dedicated to elementary aspects of number theory seem to have decreased, with more emphasis now placed on algebraic and geometric approaches to number-theoretic problems.
  3. Discrete Mathematics without Applications:
    Research focused purely on combinatorial aspects without practical applications or connections to other fields is becoming less common, indicating a trend towards interdisciplinary work.

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