JOURNAL OF GEOMETRIC ANALYSIS
Scope & Guideline
Catalyzing Discoveries in the Realm of Geometry
Introduction
Aims and Scopes
- Differential Geometry:
The journal emphasizes research in differential geometry, exploring topics such as curvature, metrics, and geometric flows. It investigates how these geometric properties interact with analytical methods, leading to new insights and results. - Partial Differential Equations (PDEs):
A significant focus is placed on the study of PDEs arising from geometric contexts, including elliptic and parabolic equations. The journal publishes papers that analyze existence, uniqueness, and regularity of solutions to these equations, often linking back to geometric structures. - Geometric Measure Theory:
Research on geometric measure theory is a core area, where the journal publishes findings related to the measure-theoretic aspects of geometry, such as minimal surfaces, area-minimizing properties, and variational problems. - Applications of Geometric Analysis:
The journal also highlights the applications of geometric analysis to various fields, including mathematical physics, image processing, and materials science. Papers often explore how geometric methods can solve real-world problems. - Topology and Algebraic Geometry:
Research intersecting topology, algebraic geometry, and geometric analysis is also featured. This includes studying the topological properties of manifolds and their geometric structures.
Trending and Emerging
- Nonlinear Analysis and Geometric PDEs:
There is an increasing emphasis on nonlinear analysis, particularly in the context of geometric partial differential equations. This includes studying complex interactions between geometry and nonlinear phenomena, which has become a vital area of research. - Geometric Flows and Mean Curvature Flow:
Research on geometric flows, especially mean curvature flow and its variations, is trending upwards. This reflects a broader interest in the dynamic evolution of geometric structures and their implications in both pure and applied mathematics. - Metric Geometry and Geometric Analysis:
The relationship between metric geometry and geometric analysis is gaining traction. Papers exploring the properties of spaces with various metric structures, their geometric characteristics, and analytical implications are increasingly common. - Applications to Mathematical Physics:
The journal is seeing a rise in papers that explore the applications of geometric analysis to mathematical physics, particularly in areas such as general relativity and quantum field theory. This trend highlights the relevance of geometric methods in understanding physical phenomena. - Geometric Measure Theory and Optimal Transport:
Emerging research in geometric measure theory, particularly in relation to optimal transport and its applications, is becoming more prominent. This trend reflects the growing interdisciplinary nature of geometric analysis, linking it with other fields like economics and data science.
Declining or Waning
- Classical Riemannian Geometry:
Research specifically focused on classical Riemannian geometry appears to be waning, with fewer papers dedicated solely to traditional topics such as geodesics, curvature tensors, and connections. The shift may be towards more dynamic and applied aspects of geometry. - Singularities in Geometric Flows:
The exploration of singularities in geometric flows has decreased, possibly due to the maturation of the field and the establishment of robust techniques to handle such problems. This area may have become more specialized, leading to fewer general publications. - Low-Dimensional Topology:
While still present, research related to low-dimensional topology, particularly in relation to geometric analysis, has seen a decline. There may be a growing focus on higher-dimensional manifolds and their properties.
Similar Journals
JOURNAL OF GEOMETRY AND PHYSICS
Innovating Research at the Intersection of Geometry and PhysicsThe JOURNAL OF GEOMETRY AND PHYSICS is a distinguished peer-reviewed journal published by Elsevier, dedicated to fostering the exploration and dissemination of research at the intersection of geometry and physics. Established in 1984, this journal covers a broad range of topics, including the theoretical aspects of geometry, topology, and mathematical physics, making it an essential resource for researchers and practitioners in these fields. With an impressive Q2 ranking in various categories, including Geometry and Topology, Mathematical Physics, and General Physics and Astronomy, the journal ranks among the top 25% of its peers, reflecting its significant impact in advancing relevant discourse. Although currently not offered as an open-access publication, it maintains a strong readership due to its contribution to high-quality scholarly articles and critical reviews. The journal’s commitment to stimulating innovative research continues to solidify its reputation as a pivotal platform for exchanging ideas and fostering collaboration within the scientific community.
Pure and Applied Mathematics Quarterly
Advancing the Frontiers of Mathematical KnowledgePure and Applied Mathematics Quarterly is a prestigious journal published by INT PRESS BOSTON, INC, focusing on the diverse and evolving field of mathematics. Since its inception in 2007, this journal has grown significantly, currently holding a Q1 ranking in the Mathematics (Miscellaneous) category for 2023, positioning it among the leading publications in the discipline. With a commitment to publishing high-quality research, Pure and Applied Mathematics Quarterly fosters innovation and dialogue within the mathematical community by providing a platform for theoretical advancements and practical applications. The journal remains accessible to researchers and professionals through its ISSN 1558-8599 and E-ISSN 1558-8602, although it does not currently offer open access. As a vital resource for mathematicians, educators, and students, this journal endeavors to expand the frontiers of mathematical knowledge and contribute to the academic dialogue surrounding this fundamental science.
Topological Methods in Nonlinear Analysis
Unraveling Complex Systems with Topological MethodsTopological Methods in Nonlinear Analysis, published by the NICOLAUS COPERNICUS UNIVERSITY TORUN in collaboration with the JULIUSZ SCHAUDER CENTRE FOR NONLINEAR STUDIES, is an esteemed journal dedicated to advancing the field of nonlinear analysis through topological methodologies. With a strong emphasis on both theoretical and practical implications, this journal aims to bridge the gap between abstract mathematical concepts and their applications across various disciplines. As a part of the rigorous academic landscape, it holds a commendable Q2 ranking in both Analysis and Applied Mathematics, indicating its significant influence among peers. The journal is indexed in Scopus, ranking in the fourth quartile for Mathematics and Applied Mathematics, and appeals to a diverse audience of researchers, professionals, and students eager to explore innovative approaches in nonlinear analytical techniques. The journal has been actively publishing articles since 2009 and continues to elucidate the complex interactions within nonlinear systems, making it a vital resource for the mathematical community seeking to expand their knowledge and contribute to cutting-edge research.
COMMUNICATIONS IN ANALYSIS AND GEOMETRY
Unveiling New Dimensions in Analysis and GeometryCOMMUNICATIONS IN ANALYSIS AND GEOMETRY, published by INT PRESS BOSTON, INC, is a prestigious journal dedicated to advancing the fields of analysis, geometry, and statistics. With an impressive Q1 ranking in these categories for 2023, the journal stands out as a leading platform for cutting-edge research and scholarly discourse. Established in 1996, the journal has been instrumental in fostering a vibrant academic community that engages with both theoretical and applied aspects of mathematics. Despite not being an open-access journal, it continues to attract a wide readership owing to its rigorous peer-review process and high-impact publications. The journal's influence is further underlined by its respectable Scopus rankings, specifically in Geometry and Topology, where it ranks 40th out of 106, highlighting its significance in the scholarly landscape. Researchers, professionals, and students alike will find COMMUNICATIONS IN ANALYSIS AND GEOMETRY to be an invaluable resource for the latest findings and developments in these interconnected mathematical disciplines.
ANNALES DE L INSTITUT FOURIER
Fostering Innovation in Mathematical SciencesANNALES 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.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Pioneering Insights in Analysis and GeometryANNALS OF GLOBAL ANALYSIS AND GEOMETRY, published by Springer, stands as a prominent periodical in the fields of analysis and geometry, holding esteemed positions in the academic community with a consistent record since its inception in 1983. With an ISSN of 0232-704X and an E-ISSN of 1572-9060, this journal provides a platform for high-quality research articles that delve into the intricate relationships between geometric constructs and analytical methods. Despite the lack of open access, the journal's influence is noteworthy, evidenced by its 2023 category quartiles, achieving Q2 rankings in both Analysis and Geometry and Topology, and notable contributions to Political Science and International Relations as well. Its Scopus rankings further illustrate its impact, placing it at rank #60 in Geometry and Topology and #132 in Analysis within a competitive academic landscape. Researchers, professionals, and students alike will find ANNALS OF GLOBAL ANALYSIS AND GEOMETRY an invaluable resource for cutting-edge discoveries and scholarly discussions that push the boundaries of knowledge within these critical fields.
Annals of PDE
Unlocking the Secrets of Mathematics and PhysicsThe Annals of PDE, published by SpringerNature, is a premier academic journal dedicated to the field of partial differential equations, encompassing areas such as Analysis, Applied Mathematics, Geometry and Topology, and Mathematical Physics. Since its inception in 2015, the journal has established itself as a vital resource for researchers and professionals seeking to disseminate cutting-edge findings in these rapidly evolving disciplines. With a remarkable Q1 ranking across multiple categories in 2023, including Mathematics and Physics and Astronomy, the Annals of PDE positions itself at the forefront of academic scholarship, as evidenced by its notable Scopus rankings, such as 7th percentile in Geometry and Topology. The journal offers a platform for open access to its articles, making it accessible to a global audience, and fostering collaborative advancements in the understanding and application of partial differential equations. Its contributions are invaluable for advancing theoretical and practical knowledge in mathematics and physics, making it an essential read for students, researchers, and professionals alike.
GEOMETRIC AND FUNCTIONAL ANALYSIS
Unveiling Innovations in Analysis and GeometryGeometric and Functional Analysis, ISSN 1016-443X, is a prestigious academic journal published by Springer Basel AG in Switzerland, renowned for its impactful contributions to the fields of geometry and analysis. With a notable Q1 ranking in both Analysis and Geometry and Topology, the journal has established itself as a leading voice in the mathematical community, garnering respect and attention with its Scopus classification — ranking 6th in Geometry and Topology and 26th in Analysis. Since its inception in 1991, it has served as a platform for rigorous research, presenting original articles that push the boundaries of mathematical understanding. Researchers, professionals, and students seeking high-quality, peer-reviewed content in these domains will find valuable insights and developments within its pages. While primarily subscription-based, the journal's extensive reach and influence make it an essential resource for advancing knowledge in geometric and functional analysis.
CHINESE ANNALS OF MATHEMATICS SERIES B
Fostering Excellence in Applied Mathematics ResearchCHINESE ANNALS OF MATHEMATICS SERIES B, published by Shanghai Scientific Technology Literature Publishing House, is a prominent journal dedicated to fostering research and development in the field of mathematics. With an ISSN of 0252-9599 and an E-ISSN of 1860-6261, this journal provides a platform for the dissemination of innovative mathematical theories and methodologies. As of 2023, it is categorized within the Q4 quartile in *Applied Mathematics* and has achieved a commendable Q3 rank in *Mathematics (miscellaneous)*, emphasizing its growing influence in academia. Despite not being an open-access publication, it serves as a valuable resource for researchers, professionals, and students seeking to explore diverse mathematical topics, particularly from a unique regional perspective. The journal's extensive publication history—from 1980 and continuing to 2024—demonstrates a longstanding commitment to advancing mathematical knowledge and providing insights into various disciplines related to mathematics.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Bridging Theory and Application in GeometryDIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, published by Elsevier, is a premier academic journal primarily focused on the intricacies of differential geometry and its wide-ranging applications in various fields, including mathematics and theoretical physics. Established in 1991 and currently exploring relevant advancements through 2024, this journal serves as a vital platform for disseminating high-quality research that integrates theory and computational methodologies.With an ISSN of 0926-2245 and an E-ISSN of 1872-6984, it holds a significant position within the mathematical community, evidenced by its current quartile ranking of Q3 in major categories such as Analysis, Computational Theory and Mathematics, and Geometry and Topology. While open access options are not available, the journal's contributions are pivotal for researchers seeking to enrich their understanding of complex geometrical frameworks and their practical applications. As the landscape of differential geometry evolves, this journal stands out as a crucial resource for fostering innovation and collaboration among scholars and practitioners alike.