Mathematical physics occupies the fertile borderland between pure mathematics and theoretical physics, developing precise frameworks to formulate and solve the laws governing nature. It embraces the ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

Over the past century, quantum field theory has proved to be the single most sweeping and successful physical theory ever invented. It is an umbrella term that encompasses many specific quantum field ...

You will never be able to prove every mathematical truth. For me, this incompleteness theorem, discovered by Kurt Gödel, is one of the most incredible results in mathematics. It may not surprise ...

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In the 1940s, trailblazing physicists stumbled upon the next layer of reality. Particles were out, and fields — expansive, undulating entities that fill space like an ocean — were in. One ripple in a ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. Explore both mathematics and physics in depth, covering a wide range of topics ...

MELVILLE, N.Y., May 16, 2023 – The Journal of Mathematical Physics has selected Tom Hutchcroft for the 2022 JMP Young Researcher Award. Hutchcroft’s winning publication, “Sharp hierarchical upper ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. Explore both mathematics and physics in depth, covering a wide range of topics ...