Mathematical physics is a field of study that applies mathematical methods and techniques to solve problems in physics. It involves the use of advanced mathematical tools, such as differential equations, calculus, and complex analysis, to model physical systems and phenomena. Some of the key areas of research in mathematical physics include quantum mechanics, classical mechanics, thermodynamics, and electromagnetism. Researchers in mathematical physics aim to develop new mathematical models, theories, and algorithms to describe and understand the behavior of physical systems and to make predictions about their properties and interactions.