Journal of Homotopy and Related Structures

Scope & Guideline

Elevating Research in Homotopy Theory

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

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Championing the Future of Mathematical Research
Publisher: AMER MATHEMATICAL SOCISSN: 0894-0347Frequency: 4 issues/year

The Journal of the American Mathematical Society (ISSN: 0894-0347; E-ISSN: 1088-6834), published by the American Mathematical Society, stands as a pillar in the fields of mathematics and applied mathematics. This prestigious journal, with a remarkable impact factor and ranking in the top tier (*Q1*) within both the Applied Mathematics and general Mathematics categories, is recognized for its contribution to advancing mathematical research and theory. With data reflecting it as the 8th ranked journal in General Mathematics (top 2%) and the 34th in Applied Mathematics (top 6%), the journal consistently showcases groundbreaking studies and innovative methods that greatly influence academia and industry alike. Though not an open-access journal, it offers a wealth of resources and intellectual discourse for researchers, professionals, and students alike. Specializing in comprehensive and theoretical aspects of mathematics, the Journal remains dedicated to publishing articles that promote understanding and propel the field forward, highlighting its significance as an essential tool for those engaged in mathematical research.

MICHIGAN MATHEMATICAL JOURNAL

Fostering Collaboration in Cutting-Edge Mathematical Research
Publisher: MICHIGAN MATHEMATICAL JOURNALISSN: 0026-2285Frequency: 4 issues/year

The MICHIGAN MATHEMATICAL JOURNAL is a prestigious and influential publication in the field of mathematics, founded by the University of Michigan. With an ISSN of 0026-2285 and an E-ISSN of 1945-2365, this journal is recognized for its high-quality research and has achieved a commendable Q1 ranking in the category of Mathematics (miscellaneous) as of 2023. Published by the esteemed Michigan Mathematical Journal, it provides a platform for the dissemination of innovative mathematical theories and findings, playing a crucial role in advancing knowledge and scholarship within the mathematical community. With coverage spanning from 1996 to 2024, the journal emphasizes rigorous theoretical development and fosters collaboration among researchers, professionals, and students alike. While not an open-access journal, its contributions are invaluable for those looking to stay abreast of cutting-edge mathematical research.

Documenta Mathematica

Exploring the Frontiers of Mathematics Together
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.

Forum of Mathematics Sigma

Fostering collaboration in the world of mathematics.
Publisher: CAMBRIDGE UNIV PRESSISSN: Frequency: 1 issue/year

Forum of Mathematics Sigma is a premier open access journal published by Cambridge University Press that has been at the forefront of mathematical research since its inception in 2013. With a strong emphasis on advancing the fields of mathematics, the journal consistently achieves Q1 rankings across multiple categories, including Algebra and Number Theory, Analysis, and Computational Mathematics. This distinction highlights its impact and relevance within the scholarly community. The journal prides itself on providing a platform for innovative research, fostering collaboration among researchers and practitioners across various mathematical disciplines. Open access publication ensures that cutting-edge findings are widely available to readers globally, enhancing the dissemination of knowledge. With an address in the heart of Cambridge, England, Forum of Mathematics Sigma is dedicated to promoting high-quality research and making significant contributions to the development of mathematics.

ANNALES DE L INSTITUT FOURIER

Unveiling New Perspectives in Algebra and Geometry
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.

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.

Selecta Mathematica-New Series

Empowering Research Through Rigorous Peer Review.
Publisher: SPRINGER INT PUBL AGISSN: 1022-1824Frequency: 1 issue/year

Selecta Mathematica-New Series is a premier academic journal published by Springer International Publishing AG, based in Switzerland. With an impressive impact in the fields of Mathematics and Physics, it is recognized in the Q1 category for both Mathematics (Miscellaneous) and Physics and Astronomy (Miscellaneous) as of 2023. Established in 1995, the journal provides a platform for rigorous peer-reviewed research, facilitating the dissemination of groundbreaking findings and theoretical advancements through its converged publication years up to 2024. Researchers and scholars seeking to stay at the forefront of mathematical and physical sciences will benefit from the journal's diverse scope and high-impact articles. Although it does not operate under an open-access model, Selecta Mathematica-New Series remains a vital resource for building knowledge and fostering collaboration among professionals and students engaged in these dynamic fields. Access to its content is essential for those aiming to deepen their understanding and contribute to the ongoing dialogue within the scientific community.

Annals of K-Theory

Advancing the Frontiers of Mathematical Knowledge
Publisher: MATHEMATICAL SCIENCE PUBLISSN: 2379-1683Frequency: 4 issues/year

Annals of K-Theory, published by Mathematical Science Publishers, is an esteemed academic journal that serves as a vital platform for advancing research in the fields of analysis, geometry, and topology. Since its inception in 2016, the journal has successfully merged rigorous mathematical exploration with practical application, catering to a diverse audience of researchers, professionals, and students. With an impressive track record as a Q2 journal in Analysis and Geometry and Topology, and achieving a Q1 ranking in Assessment and Diagnosis in 2023, Annals of K-Theory continues to be recognized for its significant contributions to the mathematical sciences community. Although currently not open access, the journal provides relevant and accessible content that encourages rigorous dialogue and collaboration among mathematicians. As indicated by its Scopus rankings, it holds a commendable position within its field, demonstrating a commitment to quality research that pushes the boundaries of mathematical knowledge and application.

Journal of the Institute of Mathematics of Jussieu

Fostering Collaboration for Tomorrow's Mathematical Breakthroughs
Publisher: CAMBRIDGE UNIV PRESSISSN: 1474-7480Frequency: 6 issues/year

Journal of the Institute of Mathematics of Jussieu, published by Cambridge University Press, is a leading academic journal that has established itself as a vital resource in the field of mathematics. With an impressive impact factor and a ranking in the top quartile (Q1) of miscellaneous mathematics, the journal serves as a platform for high-quality research from both established scholars and emerging researchers. Spanning from 2002 to 2024, the journal aims to foster collaboration and innovation in the mathematical community by publishing original research articles, reviews, and critical discussions on a wide range of mathematical topics. Although the journal does not offer open access, it remains widely accessible through various academic institutions and libraries, ensuring that critical advancements in mathematics are shared with a global audience. Located in the United Kingdom at the prestigious Cambridge campus, the journal reflects the rigorous standards of its publisher and the rich academic tradition of its home institution.

GEOMETRY & TOPOLOGY

Unraveling the Intricacies of Space and Shape
Publisher: GEOMETRY & TOPOLOGY PUBLICATIONSISSN: 1465-3060Frequency:

Geometry & Topology is a leading journal in the field of mathematics, focusing on the intricate relationships between geometric structures and topological spaces. Published by Geometry & Topology Publications in the United Kingdom, this prestigious journal boasts an impressive ranking, placing it in the Q1 quartile for Geometry and Topology as of 2023, with a notable Scopus rank of #13 out of 106, indicating its significant impact within the discipline (88th percentile). With publication years spanning from 1997 to 2024, the journal serves as a vital platform for disseminating high-quality research, fostering advances in both theoretical and applied aspects of the field. While it does not currently operate under an Open Access model, it nevertheless attracts the attention of a diverse audience, including researchers, academics, and students eager to explore innovative methodologies and findings in geometry and topology. The journal’s commitment to excellence makes it an essential resource for anyone passionate about mathematical research.