Remarkably, seemingly disparate problems often exhibit identical mathematical ... between the equations for defects in a crystalline lattice and a well-known formula from electromagnetism.

In DMFT, the lattice problem is mapped onto a single-impurity problem, which can be solved exactly using numerical techniques. 3 The Hubbard model has been used extensively to study strongly ...

In this class, we will discuss computational problems on lattices and their applications. We will emphasize the design of secure cryptosystems using lattice problems (part of an exciting area of ...