Journal of Homotopy and Related Structures

Scope & Guideline

Unraveling the Intricacies of Algebra and Topology

Introduction

Welcome to the Journal of Homotopy and Related Structures 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 Journal of Homotopy and Related Structures, 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
ISSN2193-8407
PublisherSPRINGER HEIDELBERG
Support Open AccessNo
CountryUnited States
TypeJournal
Convergefrom 2012 to 2024
AbbreviationJ HOMOTOPY RELAT STR / J. Homotopy Relat. Struct.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY

Aims and Scopes

The Journal of Homotopy and Related Structures is dedicated to advancing the field of homotopy theory and its applications across various mathematical disciplines. The journal emphasizes rigorous research that explores the interplay between homotopy theory, algebraic topology, category theory, and related structures, fostering a deep understanding of their foundational aspects and implications.
  1. Homotopy Theory and Algebraic Topology:
    The journal focuses extensively on homotopy theory, examining its fundamental principles, structures, and applications in algebraic topology. This includes studies on homotopy types, homological algebra, and the relationships between different topological spaces.
  2. Higher Category Theory:
    A significant area of interest is higher category theory, where researchers explore (∞,1)-categories, their properties, and their implications for homotopy theory. This includes the study of simplicial sets, model categories, and enriched category theory.
  3. Algebraic Structures and Computations:
    The journal also covers research on various algebraic structures, such as L∞-algebras, associative algebras, and K-theory, with an emphasis on computational methods and theoretical advancements in these areas.
  4. Geometric and Topological Applications:
    Papers often explore geometric aspects of homotopy theory, including applications to diffeology, smooth manifolds, and foliations, highlighting the connections between abstract theory and geometric intuition.
  5. Interdisciplinary Connections:
    The journal encourages research that bridges homotopy theory with other mathematical fields, such as representation theory, algebraic geometry, and mathematical physics, fostering a rich dialogue between these disciplines.
Recent publications in the Journal of Homotopy and Related Structures indicate a dynamic evolution of research themes, highlighting emerging trends that reflect the journal's responsiveness to contemporary mathematical challenges and innovations. These themes illustrate the journal's commitment to advancing the field in new and impactful ways.
  1. Diffeology and Smooth Structures:
    There is a growing interest in diffeological spaces and their applications in smooth geometry and homotopy theory. This theme reflects an increased focus on understanding smooth structures in a more flexible and generalized context.
  2. Twisted Cohomology and Homotopy Theory:
    Emerging research on twisted cohomology theories and their connections to homotopy theory suggests a trend towards exploring more nuanced algebraic structures that can capture complex phenomena in topology and algebra.
  3. Infinity-Categories and Higher Algebra:
    The exploration of (∞,1)-categories and higher algebra is gaining traction, indicating a shift towards more sophisticated categorical frameworks that provide deeper insights into homotopy theory and its applications.
  4. Applications in Mathematical Physics:
    There is an increasing trend of papers connecting homotopy theory with mathematical physics, particularly in the context of topological field theories and string theory, highlighting the interdisciplinary nature of current research.
  5. Computational Homotopy Theory:
    Advances in computational techniques for homotopy theory, including the use of spectral sequences and computational homological algebra, are becoming more prominent, reflecting a growing demand for practical applications of theoretical insights.

Declining or Waning

While the Journal of Homotopy and Related Structures continues to thrive in various areas, certain themes within the journal's scope have shown signs of declining prominence. This may reflect a shift in research focus or a maturation of particular subfields as new methodologies and theories gain traction.
  1. Classical Algebraic Topology:
    Research focused solely on classical algebraic topology, such as basic homology and cohomology theories, appears to be waning. This may be due to the increasing complexity and sophistication of newer theories that integrate algebraic topology with homotopy theory.
  2. Basic Model Categories:
    Papers discussing foundational model category theory without the integration of higher categorical perspectives are less frequent. The field seems to be moving towards more advanced frameworks that incorporate higher-dimensional categories.
  3. Elementary Homotopy Concepts:
    There is a noticeable decrease in publications centered on elementary homotopy concepts. Researchers are increasingly exploring more complex structures and their interrelations, leading to a decline in interest in basic homotopy properties.
  4. Traditional Representation Theory:
    Traditional approaches to representation theory, which do not leverage modern homotopical methods, have seen reduced attention. The integration of homotopy theory with representation theory is becoming more prominent, overshadowing classical studies.

Similar Journals

QUARTERLY JOURNAL OF MATHEMATICS

Advancing Mathematical Frontiers with Every Issue
Publisher: OXFORD UNIV PRESSISSN: 0033-5606Frequency: 4 issues/year

Quarterly Journal of Mathematics, published by Oxford University Press, stands as a pivotal resource for the mathematical community, focusing on a broad spectrum of topics in the field of mathematics. With its esteemed history dating back to 1930, this journal continues to foster innovative research and discussions, providing a platform for scholars to share their findings and insights. Although the journal currently holds a Q3 classification in mathematics (miscellaneous) and is ranked #207 among general mathematics publications in the Scopus database, its commitment to quality and rigorous peer review ensures that it remains relevant and insightful. Researchers, professionals, and students alike will find the Quarterly Journal of Mathematics an invaluable tool for advancing knowledge and understanding in various mathematical disciplines, making it an essential addition to any academic library.

Documenta Mathematica

Advancing Mathematical Knowledge for All
Publisher: EUROPEAN MATHEMATICAL SOC-EMSISSN: 1431-0643Frequency:

Documenta Mathematica is a premier academic journal published by the European Mathematical Society (EMS), making significant contributions to the field of mathematics since its inception. With an Open Access model established in 1996, the journal ensures that scholarly works are freely available to a global audience, promoting widespread dissemination of mathematical research. Based in Germany, it serves as a vital platform for mathematicians, covering a wide array of topics within the discipline, evidenced by its impressive Q1 ranking in the miscellaneous category of mathematics as of 2023. Featuring rigorous peer-reviewed articles that span the latest trends and breakthroughs in the discipline, Documenta Mathematica also retains a commendable position among its peers with a Scopus rank of 163 out of 399, placing it in the 59th percentile for general mathematics. Researchers, professionals, and students alike will benefit from the robust scholarly content and the journal's commitment to advancing mathematical knowledge.

Hiroshima Mathematical Journal

Unveiling the Beauty of Numbers and Geometry
Publisher: HIROSHIMA UNIV, GRAD SCH SCIISSN: 0018-2079Frequency: 3 issues/year

The Hiroshima Mathematical Journal, published by Hiroshima University, Graduate School of Science, serves as a prominent platform for disseminating high-quality research in the field of mathematics. Established in 1959, the journal has been an integral part of the mathematical community, focusing on areas such as Algebra, Number Theory, Analysis, and Geometry and Topology. Although currently classified in Q4 quartile rankings within its categories, the journal is committed to advancing mathematical knowledge and fostering scholarly dialogue. Its accessibility, combined with its long-standing history, makes it an essential resource for researchers, professionals, and students dedicated to exploring and enhancing the mathematical sciences. For those interested in contributing or accessing cutting-edge research, the Hiroshima Mathematical Journal continues to uphold its mission of excellence in mathematical scholarship.

ANNALES DE L INSTITUT FOURIER

Exploring the Depths of Number Theory and Topology
Publisher: ANNALES INST FOURIERISSN: 0373-0956Frequency: 6 issues/year

ANNALES DE L INSTITUT FOURIER is a premier academic journal published by ANNALES INST FOURIER, specializing in the fields of Algebra and Number Theory as well as Geometry and Topology. Since its establishment, the journal has garnered a distinguished reputation, evidenced by its Q1 quartile ranking in the 2023 category assessments and its Scopus Rank of #37 out of 119 in Algebra and Number Theory, and #34 out of 106 in Geometry and Topology, placing it within the top percentile of its field. The journal serves as a vital platform for disseminating groundbreaking research and innovative methodologies, catering to a global audience of researchers, professionals, and students. With a commitment to the advancement of mathematical sciences, ANNALES DE L INSTITUT FOURIER invites contributions that push the boundaries of knowledge and foster collaboration across disciplines. Although it does not offer open access, the rigorous peer-review process ensures that published papers meet the highest academic standards, making it a critical resource for anyone engaged in advanced mathematical research.

EXPOSITIONES MATHEMATICAE

Championing Excellence in Mathematical Scholarship
Publisher: ELSEVIER GMBHISSN: 0723-0869Frequency: 4 issues/year

EXPOSITIONES MATHEMATICAE, published by Elsevier GmbH, stands as a significant journal in the realm of mathematics, catering primarily to researchers, professionals, and students. With an ISSN of 0723-0869 and an E-ISSN of 1878-0792, this journal has made its mark in the academic community, boasting a Q2 classification in the miscellaneous mathematics category for 2023, illustrating its prominence within its field. The journal addresses a diverse scope of mathematical topics, encouraging the publication of original research and innovative theories while maintaining rigorous academic standards. As it converges from 2004 to 2024, EXPOSITIONES MATHEMATICAE continues to be an essential resource for advancing mathematical knowledge and fostering scholarly communication, despite being a non-open-access publication. Its location in Munich, Germany further anchors it within a rich intellectual tradition, providing accessibility for the mathematical community worldwide.

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Fostering Collaboration in Mathematical Excellence
Publisher: EUROPEAN MATHEMATICAL SOC-EMSISSN: 1435-9855Frequency: 6 issues/year

The JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, published by the EUROPEAN MATHEMATICAL SOCIETY (EMS), stands as a premier platform in the field of mathematics, known for its rigorous editorial standards and impactful contributions to both applied and theoretical aspects of the discipline. With a commendable Q1 ranking in both Applied Mathematics and Miscellaneous Mathematics categories, alongside a Scopus rank of 32 out of 399 in General Mathematics, this journal has established itself as a crucial resource for researchers and professionals. Since achieving Open Access status in 2021, it has expanded its reach, making cutting-edge research more accessible to a global audience. With a publication horizon extending from 2002 to 2024 and a dedicated focus on high-quality mathematical scholarship, the journal continues to foster innovation and collaboration within the mathematical community.

GEOMETRIAE DEDICATA

Cultivating Knowledge in the Realm of Geometry
Publisher: SPRINGERISSN: 0046-5755Frequency: 6 issues/year

GEOMETRIAE DEDICATA is a distinguished journal published by Springer, focusing on the intricate and dynamic field of geometry and topology. With an ISSN of 0046-5755 and an E-ISSN of 1572-9168, this journal has been a vital resource since its inception in 1972, continuing to provide insightful research up until 2024. Recognized for its scholarly contributions, it holds a Q3 category ranking in the field as of 2023, showcasing its commitment to advancing theoretical and applied geometrical investigations. Located in the Netherlands, specifically at VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, the journal offers its audience a platform to explore various aspects of geometry, encouraging interdisciplinary collaboration and knowledge dissemination. Although currently not an open-access journal, it is widely cited and respected in the academic community, making it an essential publication for researchers, students, and professionals devoted to expanding the boundaries of geometric science.

Cambridge Journal of Mathematics

Exploring Innovative Solutions in Mathematics
Publisher: INT PRESS BOSTON, INCISSN: 2168-0930Frequency: 4 issues/year

Cambridge Journal of Mathematics, published by INT PRESS BOSTON, INC, is a premier platform for the dissemination of cutting-edge research in the field of mathematics. With an ISSN of 2168-0930 and E-ISSN 2168-0949, this journal stands out in a competitive academic landscape, currently ranked #58 out of 399 in General Mathematics, placing it in the top 15% within its category according to Scopus metrics. The journal serves as a vital resource for researchers, professionals, and students alike, aiming to foster groundbreaking mathematical inquiries and foster collaboration across disciplines. Published from 2020 to 2024, the Cambridge Journal of Mathematics is committed to maintaining high standards of scholarship, making it an essential read for those who are passionate about advancing mathematical knowledge and its applications.

Algebraic and Geometric Topology

Empowering Mathematicians Through Open Access Knowledge
Publisher: GEOMETRY & TOPOLOGY PUBLICATIONSISSN: 1472-2739Frequency: 6 issues/year

Algebraic and Geometric Topology, published by Geometry & Topology Publications, is a premier journal dedicated to the fields of algebraic and geometric topology. With its ISSN of 1472-2739 and a commendable Q1 ranking in 2023, this journal serves as a vital resource for top-tier research, showcasing groundbreaking developments and fostering discussions among mathematicians globally. Operating since 2007 and continuing through 2024, the journal is positioned within the United States and aims to deliver open access to the latest findings, promoting collaboration and innovation. As a significant contributor to the mathematical landscape, Algebraic and Geometric Topology appeals not only to researchers and professionals, but also to students eager to explore the rich interplay between algebra and topology, making it an essential read for anyone involved in advanced mathematical studies.

JOURNAL OF PURE AND APPLIED ALGEBRA

Connecting Theoretical Insights with Practical Applications
Publisher: ELSEVIERISSN: 0022-4049Frequency: 12 issues/year

JOURNAL OF PURE AND APPLIED ALGEBRA, published by Elsevier, stands as a premier academic platform in the fields of algebra and number theory, boasting a distinguished impact factor that reflects its rigorous peer-review process and influential research contributions. Established in 1971 and continuing its impressive trajectory until 2025, this journal has carved a niche for itself by providing a forum for innovative studies, theoretical advancements, and practical applications within pure and applied algebra. With its prestigious Q1 ranking in Algebra and Number Theory, the journal not only ranks among the top tier in its category but also offers an extensive collection of research that caters to mathematicians, academicians, and students alike. Scholars will find it an invaluable resource for disseminating their findings, as well as keeping abreast of significant developments in the field, further solidifying its role as a cornerstone of mathematical research.