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 ...

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

Mathematical classical mechanics is underpinned by Hamiltonian flows on symplectic and more general Poisson manifolds, with conserved energy functions defining vector fields whose integrability is ...

In addition to ascertaining that the internal vitality of the mathematical sciences is excellent, as illustrated in Chapter 2, the current study found a striking expansion in the impact of the ...

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 ...