Collectanea Mathematica

Scope & Guideline

Pioneering research for a deeper understanding of mathematical principles.

Introduction

Welcome to the Collectanea 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 Collectanea 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
ISSN0010-0757
PublisherSPRINGER-VERLAG ITALIA SRL
Support Open AccessNo
CountryItaly
TypeJournal
Convergefrom 2006 to 2024
AbbreviationCOLLECT MATH / Collect. Math.
Frequency3 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressVIA DECEMBRIO, 28, MILAN 20137, ITALY

Aims and Scopes

Collectanea Mathematica is a journal dedicated to the publication of high-quality research articles in various fields of mathematics, emphasizing both theoretical and applied aspects. The journal serves as a platform for sharing innovative methodologies and significant findings across diverse mathematical disciplines.
  1. Algebra and Combinatorics:
    The journal frequently publishes papers on algebraic structures, including Gorenstein modules, edge ideals, and combinatorial aspects of algebra. This area showcases the interplay between algebraic concepts and combinatorial techniques.
  2. Geometry and Topology:
    Research focusing on geometric structures, such as manifolds and algebraic varieties, is prevalent. Topics range from the study of moduli spaces to the properties of specific geometric constructions like tropical curves and Fano manifolds.
  3. Functional Analysis and Operator Theory:
    The journal includes contributions on functional spaces, operator theory, and related inequalities. This encompasses studies on maximal operators, composition operators, and various function spaces, indicating a strong emphasis on analysis.
  4. Homological Algebra and Algebraic Geometry:
    A significant focus on homological aspects, particularly in connection with ideals and modules, and their applications in algebraic geometry. This includes investigations into syzygies, depth, and regularity of various algebraic structures.
  5. Partial Differential Equations and Variational Problems:
    The journal addresses various aspects of PDEs, particularly those arising in geometric contexts or with variational principles. This includes papers discussing existence results, boundary value problems, and critical Sobolev inequalities.
Recent issues of Collectanea Mathematica reveal exciting trends and emerging themes that reflect the dynamic nature of mathematical research. These themes highlight areas of increasing interest and relevance among the mathematical community.
  1. Intersection of Algebra and Geometry:
    There is a growing trend in exploring the connections between algebraic structures and geometric properties, particularly in the study of moduli spaces and toric varieties, indicating a rich interplay between these fields.
  2. Nonlinear Analysis and PDEs:
    An increasing number of publications are focusing on nonlinear problems, particularly those involving partial differential equations and variational methods, reflecting a heightened interest in complex analysis and its applications.
  3. Mathematical Physics Applications:
    Emerging themes related to mathematical physics, such as the study of spacelike hypersurfaces and Ricci curvature, show a trend towards applying mathematical theories to physical contexts, suggesting interdisciplinary research growth.
  4. Computational Methods in Algebra:
    There is an uptick in papers that employ computational techniques to solve algebraic problems or analyze algebraic structures, indicating a trend towards integrating computational tools in traditional mathematical research.

Declining or Waning

While Collectanea Mathematica continues to thrive in many areas, certain themes appear to be declining in prominence within recent publications. This shift may reflect evolving research interests or the maturation of specific mathematical fields.
  1. Classical Analysis Techniques:
    There is a noticeable reduction in papers focusing solely on classical analytical techniques, with fewer contributions on traditional topics such as basic functional analysis or introductory harmonic analysis.
  2. Elementary Number Theory:
    The journal has seen fewer articles dedicated to elementary number theory compared to previous years. This could indicate a shift towards more advanced or applied aspects of mathematics.
  3. Discrete Mathematics:
    Although discrete mathematics remains important, there is a decline in publications focused strictly on combinatorial problems or graph theory without significant algebraic or geometric connections.

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