Mathematical Physics

Mathematical physics sits at the frontier of two of the most rigorous intellectual disciplines known to humanity. Physics seeks to understand the fundamental laws that govern matter, energy, space, and time. Mathematics provides the language and the tools through which those laws are expressed and explored.

At the deepest level the two are inseparable: general relativity is differential geometry, quantum mechanics is functional analysis, and some of the most important advances in mathematics have come from physicists trying to describe nature. Studying them together, at the highest level, produces a graduate of exceptional analytical power.

This four-year full-time programme at the University of Edinburgh includes a year abroad, giving you the opportunity to study at an international partner institution and to encounter mathematical physics in a different academic tradition. With a typical tariff of 216 points, this is one of the most demanding and selective degrees available anywhere in the UK, attracting students who have already demonstrated exceptional ability in mathematics and physics. Edinburgh is one of the UK's leading research universities with outstanding strength in both mathematics and theoretical physics, and the environment you study in is shaped by cutting-edge research at the intersection of the two disciplines.

You will study classical mechanics, electromagnetism, quantum mechanics, statistical physics, and general relativity alongside abstract algebra, topology, differential geometry, complex analysis, and the mathematical structures that connect them. The year abroad deepens your formation and exposes you to the international community of mathematical physicists.

Graduates from mathematical physics programmes are exceptionally well placed for careers in academic research, financial mathematics and quantitative analysis, technology, cryptography, data science, and any field that requires the kind of rigorous analytical thinking this degree develops. Many continue directly to doctoral research in physics, mathematics, or theoretical computer science.