Contemporary Topics in Mathematical Physics
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 1 March 2027 | Viewed by 165
Editors
Interests: mathematical physics; spinor theory; Clifford algebras; black hole physics; general relativity; applied geometric methods
Special Issue Information
Dear Colleagues,
Mathematical methods and structures have long served as the backbone of theoretical physics, providing reliable and foundational results across virtually all areas of modern research, from quantum field theory and integrable systems to geometry, topology, and the very foundations of spacetime. Recent advances in this field are not only refining our mathematical toolkit but also paving new pathways to address the central questions of 21st century physics, including the nature of dark energy, the challenges of quantum gravity, non-perturbative phenomena, and the crucial interplay between symmetry and physical law.
This Special Issue, ‘Contemporary Topics in Mathematical Physics’, invites high-quality contributions on (but not limited to) the following topics:
- Exactly solvable models and integrable systems;
- Noncommutative geometry, deformation quantization, and spectral methods;
- Topological field theories, gauge theories, and anomalies;
- Algebraic and geometrical methods in relativity and cosmology;
- Mathematical relativity;
- Numerical and analytical approaches to nonlinear PDEs in physics.
We welcome both original research articles and comprehensive review papers that push the boundaries of mathematical rigor and physical insight. By bringing together methods from pure mathematics to computational physics, this Special Issue aims to become a key reference for researchers at the intersection of mathematics and theoretical physics.
We look forward to receiving your contributions.
Dr. Rogerio Teixeira Cavalcanti
Dr. Rodolfo José Bueno Rogerio
Guest Editors
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- mathematical physics
- relativity
- quantum gravity
- quantum field theory
- differential geometry
- functional analysis
- gauge theory
- integrable systems
- spacetime structure
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