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Welcome to the AMA MΦ (Association of MathematicalAnalysis and Mathematical Physics) webpage. This is a forum that promotes research activities and collaboration in mathematical analysis and its applications to physics.
The aim of the AMA MΦ project is to provide a space for communication, attract scholars and organize remote and face-to-face academic meetings. We are interested in mathematical analysis itself as a branch of mathematics, but we are specially focused on models, methods and results in mathematical analysis that are related to or inspired in physics in order to develop a rigorous mathematical background that might provide a solid ground for physical theories. Among the topics that we cover are functional analysis, operator theory (including spectral and scattering theories), harmonic analysis, differential and difference equations, operators algebras, inverse problems, etc. Although the term Mathematical Physics has many different meanings, in the context of this forum it is considered to be a branch of mathematics and more specifically mathematical analysis.
Mathematical Physics is a highly diverse field in science that combines mathematics and physics in various ways. The diversity of the field makes it difficult to give a precise definition. Some scholars understand the term as a branch of physics that takes special attention to the mathematical tools they use, but not in the realm of mathematics where the main interest is to produce and prove new theorems. Even from the perspective of mathematics itself, the term Mathematical Physics might have extremely different interpretations. Different groups might understand it as a branch of Differential Geometry, Algebraic Topology, Dynamical Systems, Probability, and even Algebra and Category Theory.
Although the great variety of disciplines associated with Mathematical Physics enriches the field enormously, they produce a significant ambiguity of the notion that give rise to important problems for the community cohesion. In particular, research groups in several areas (such as Spectral Theory, Orthogonal Polynomials, Inverse Problems, etc.) do not identify themselves anymore as being part of the Mathematical Physics community although traditionally during the past several decades these topics were considered to be part of it.
The goal of this forum is to bring together people working in mathematical analysis with special focus in mathematical physics and provide means to communicate and organize online seminars, workshops and conferences.