Let $S=S_{g}$ be a surface of genus $g>1$, and $\Teich(S)$ be the Teichm\"uller space endowed with the Weil-Petersson metric and $\Mod(S)$ be the mapping class …
In this thesis we describe the construction of a set of algebraic points, called Heegner Points, on elliptic curves. Then we investigate under which constraints …
A soliton generally refers to a particle-like solution, i.e. a localized solution of finite energy, that does not change its shape in propagation. It is …