Communications in Number Theory and Physics
Scope & Guideline
Pioneering Research at the Confluence of Two Disciplines
Introduction
Aims and Scopes
- Interdisciplinary Research:
The journal emphasizes the fusion of number theory and various branches of physics, particularly quantum physics, string theory, and algebraic geometry, fostering a collaborative environment for researchers from both fields. - Modular Forms and Invariants:
A significant focus is placed on modular forms, their properties, and their applications in physics, including the study of invariants related to Calabi-Yau manifolds and other geometric structures. - Quantum Geometry and Topology:
Research on quantum geometrical frameworks, including spectral geometry and topological recursion, is a core aspect, particularly how these concepts relate to physical theories and models. - Algebraic Structures and Cohomology:
The journal covers studies involving algebraic structures such as cohomological Hall algebras and derived categories, which are essential in understanding the mathematical underpinnings of physical models. - Numerical and Experimental Methods:
There is an increasing incorporation of numerical methods and computational experiments in the analysis of mathematical models, especially in the context of partition functions and invariants.
Trending and Emerging
- Quantum Modular Forms:
There is a noticeable increase in research concerning quantum modular forms, reflecting their significance in understanding modularity and their applications in various physical contexts, including quantum invariants. - Geometric and Topological Invariants:
The exploration of geometric and topological invariants, particularly in relation to Calabi-Yau manifolds and their moduli spaces, is gaining traction, linking deep mathematical concepts with physical implications. - Stochastic and Random Field Theories:
Emerging interest in stochastic processes and random fields is evident, with researchers investigating their applications in quantum gravity and statistical physics, suggesting a growing interdisciplinary approach. - Resurgence and Stokes Phenomena:
Research on resurgence, Stokes phenomena, and their applications in quantum field theory and string theory is on the rise, indicating a trend towards understanding complex analytical structures that arise in physical theories. - Higher-Dimensional Algebraic Structures:
There is a burgeoning interest in higher-dimensional algebraic structures, including their implications for derived categories and cohomological methods, reflecting a shift towards more abstract mathematical frameworks.
Declining or Waning
- Classical Diophantine Equations:
While traditional Diophantine equations have been a staple in number theory, recent publications suggest a decline in focus on classical problems, with more emphasis shifting toward modern algebraic and geometric approaches. - Low-Dimensional Topology:
Topics related to low-dimensional topology, such as certain invariants in three-manifolds, appear less frequently, indicating a potential waning interest in these areas compared to more abstract algebraic and quantum geometric studies. - Elementary Number Theory:
Research articles rooted in elementary number theory concepts, such as basic properties of integers and simple congruences, have decreased, as the journal leans towards more complex and abstract theories. - Traditional Quantum Field Theory:
While quantum field theory remains a crucial topic, the focus on its traditional formulations appears to be declining in favor of more contemporary approaches that integrate algebraic and geometric perspectives.
Similar Journals
Journal of Topology and Analysis
Exploring the Depths of Mathematical StructuresJournal of Topology and Analysis, published by WORLD SCIENTIFIC PUBL CO PTE LTD, is a distinguished peer-reviewed journal that focuses on advanced topics in mathematics, specifically within the fields of topology and analysis. Established in 2009 and running through 2024, the journal is based in Singapore and strives to present cutting-edge research that contributes to the mathematical community's understanding of geometric structures and analytical theories. Holding a respected position with a Q2 ranking in Analysis and a Q3 ranking in Geometry and Topology according to the 2023 category quartiles, the journal is indexed in Scopus, where it ranks #49 in Geometry and Topology and #118 in Analysis, showcasing its significance in the scholarly landscape. The Journal of Topology and Analysis aims to foster interdisciplinary collaboration by providing a platform for researchers, professionals, and students to share innovative findings and insights. Although it does not currently offer open access, its contributions are vital for advancing knowledge in these mathematical domains.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Empowering the Mathematical Community with Quality ResearchThe BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, published by Wiley, is a distinguished journal that serves as a vital resource in the field of mathematics. With its ISSN 0024-6093 and E-ISSN 1469-2120, this journal has consistently provided a platform for innovative research and scholarly discourse since its inception in 1969. Recognized for its quality, it currently holds an impressive Q1 ranking in the mathematics category, a testament to its significance in disseminating influential findings and trends in the mathematical sciences. Researchers and practitioners can rely on the BULLETIN for its comprehensive coverage of both theoretical and applied mathematics, which caters to a diverse audience ranging from professionals to students alike. Though it does not currently offer Open Access options, its articles can be accessed through institutional subscriptions, ensuring that significant works reach the academic community effectively. With contributions that span over five decades, the journal continues to shape mathematical research and inspire future advancements in the discipline.
EXPOSITIONES MATHEMATICAE
Connecting Scholars Through Mathematical InsightsEXPOSITIONES 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.
Pure and Applied Mathematics Quarterly
Pioneering Insights in Pure and Applied MathematicsPure 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.
Quantum Topology
Connecting Quantum Mechanics with Topological ParadigmsQuantum Topology is a leading journal in the interdisciplinary realms of geometry, topology, and mathematical physics, published by the European Mathematical Society. With an impressive H-Index that reflects its growing citation and recognition, this open-access journal has been committed to disseminating high-quality research since its inception in 2013, with full open access treatment commencing in 2021. Based in Germany, it serves as a platform for innovative studies that explore the intricate connections between quantum theory and topological structures. Achieving a notable Q1 category ranking in both Geometry and Topology and Mathematical Physics as indicated in the 2023 metrics, it ranks 31st out of 106 in the first category and 48th out of 85 in the latter, underscoring its importance in advancing scholarly dialogue in these fields. Researchers, professionals, and students alike are encouraged to contribute to and engage with the journal’s rich content, which not only includes original research articles but also review papers and significant theoretical advancements.
Forum of Mathematics Sigma
Fostering collaboration in the world of mathematics.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.
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
Advancing mathematical knowledge for a global audience.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.
Symmetry Integrability and Geometry-Methods and Applications
Advancing the Frontiers of Mathematical UnderstandingSymmetry Integrability and Geometry-Methods and Applications is a prominent open-access journal published by the NATIONAL ACADEMY OF SCIENCES OF UKRAINE, INSTITUTE OF MATHEMATICS, dedicated to advancing research in the fields of Analysis, Geometry and Topology, and Mathematical Physics. Since its inception in 2005, the journal has provided an esteemed platform for scholars from around the globe to share their innovative findings and methodologies, contributing to our understanding of complex mathematical concepts. With an impressive Q2 ranking in all three mathematical categories as per the 2023 Scopus rankings, the journal positions itself as a key resource for researchers seeking high-quality, peer-reviewed content. As a fully open-access publication, it ensures that research is readily available to a wide audience, fostering collaboration and knowledge exchange in the mathematical sciences.
Hiroshima Mathematical Journal
Connecting Researchers Through Innovative Mathematical InsightsThe 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.
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.