Abstract: In this talk I will describe some of the mathematical aspects of disordered topological insulators. These are novel materials which insulate in their bulk but (may) conduct along their edge;...
Holomorphic line bundles play many important roles in complex analytic geometry. In the higher rank case, much less is known, but there have been important advances in the last 15 years. After a revie...
Abstract: In the last decades, since the first experimental realizations of Bose- Einstein condensates, the study of large bosonic systems has been a very active field of research both in physics...
I will discuss joint work with Marco Maculan in which we prove the Shafarevich conjecture for a large class of irregular varieties over number fields. Our proof combines the method of Lawrence-Sawin w...
The talk concerns the ongoing development of a non-standard model of continuum mechanics, originally due to Godunov, Peshkov, and Romenski (GPR), and its numerical approximation in Finite Volume and D...
ABSTRACT: In this talk we will discuss the recent progress on such random growth models as Diffusion Limited Aggregation (DLA) and Dielectric-Breakdown Model (DBM) in 2 and 3 dimensions. These models ...
We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree–Fock non-linearity converges to a self-consistent non-equilibrium steady st...
I will describe a family of hyperplane arrangements in lattices of signature (n, 2) for which the graded rings of modular forms with poles on those hyperplanes are freely generated. The largest exampl...
