The Mathematical Physics group at CU Boulder has expertise in Hilbert space theory, quantization theory, random matrices, Poisson geometry, the mathematics of classical and quantum fields, and PDE's ...

Numerical simulations in physics often require estimating a multitude of parameters, making the process computationally ...

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 ...

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 ...

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 ...

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 ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That's exactly what happened in 1900 at the International Congress of Mathematicians ...

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 ...

Within mathematics, there is a vast and ever expanding web of conjectures, theorems and ideas called the Langlands program. That program links seemingly disconnected subfields. It is such a force that ...

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 ...