Journal of Homotopy and Related Structures
Scope & Guideline
Charting New Territories in Mathematical Relationships
Introduction
Aims and Scopes
- 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. - 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. - 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. - 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. - 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.
Trending and Emerging
- 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. - 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. - 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. - 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. - 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
- 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. - 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. - 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. - 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
Algebraic and Geometric Topology
Advancing the Frontiers of Topological ResearchAlgebraic 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.
EXPOSITIONES MATHEMATICAE
Unveiling New Perspectives in MathematicsEXPOSITIONES 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.
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
Pioneering discoveries in mathematics, one paper at a time.RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, published by the European Mathematical Society, stands as a notable open-access journal with a rich history in disseminating research across various domains of mathematics. With an ISSN of 0041-8994 and E-ISSN 2240-2926, this journal has embraced open access since 2023, significantly enhancing its visibility and accessibility to a global audience. Situated in Germany, its publishing house is based at Technical University Berlin, which emphasizes its academic roots and dedication to fostering mathematical research. The journal features a quartile ranking of Q3 across multiple categories including Algebra and Number Theory, Analysis, Geometry and Topology, and Mathematical Physics as of 2023, indicating a vibrant contribution to the field, despite its challenge in specific rankings. Researchers, professionals, and students alike will find in this journal a platform for innovative ideas and significant findings that are crucial to the evolution of modern mathematics.
Cambridge Journal of Mathematics
Empowering Researchers with Cutting-Edge InsightsCambridge 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.
GEOMETRIAE DEDICATA
Exploring the Depths of Geometric ScienceGEOMETRIAE 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.
TRANSFORMATION GROUPS
Exploring the Frontiers of Algebra, Geometry, and TopologyTRANSFORMATION GROUPS, published by Springer Birkhäuser, is a leading academic journal specializing in the fields of algebra, geometry, and topology. With its ISSN 1083-4362 and E-ISSN 1531-586X, the journal has established itself as an essential resource for researchers and academicians, achieving a remarkable Impact Factor and ranking in prestigious categories: Q1 in Algebra and Number Theory and Q2 in Geometry and Topology as of 2023. Over its history from 1997 to 2024, TRANSFORMATION GROUPS has delivered cutting-edge research and innovative insights, currently holding Scopus rankings of #40/119 in Algebra and Number Theory and #38/106 in Geometry and Topology. This journal caters to those seeking to enhance their understanding of mathematical transformations and their applications, making it a vital platform for scholarly discourse within the mathematical community.
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Exploring the Depths of Mathematical InnovationThe 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.
Kyoto Journal of Mathematics
Elevating mathematics: where innovation meets collaboration.Kyoto Journal of Mathematics is a premier academic publication dedicated to advancing the field of mathematics, published by DUKE UNIVERSITY PRESS. Established in 1996, this journal serves as a vital platform for sharing innovative research and breakthrough studies across various mathematical disciplines. The journal has consistently maintained a prestigious Q1 ranking in the category of Mathematics (miscellaneous) as of 2023, reflecting its significant impact and contribution to the mathematical community. With its Open Access policy, the Kyoto Journal of Mathematics ensures that groundbreaking research is easily accessible to a global audience, fostering collaboration and knowledge dissemination among researchers, professionals, and students alike. The journal's commitment to excellence and relevance in mathematical research is underscored by its extensive archive of published works and its continuous engagement with contemporary mathematical challenges. This makes the journal an essential resource for anyone seeking to stay abreast of current trends and advancements in the field.
QUARTERLY JOURNAL OF MATHEMATICS
Illuminating the Path of Mathematical DiscoveryQuarterly 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.
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
Elevating Research through Rigorous ScholarshipThe 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.