\contentsline {section}{\tocsection {}{}{Introduction}}{1} \contentsline {section}{\tocsection {}{1}{The $p$-adic uniformisation of Shimura curves}}{2} \contentsline {section}{\tocsection {}{2}{The $p$-adic uniformisation of $X_0(p)$}}{4} \contentsline {section}{\tocsection {}{3}{Singular moduli for real quadratic fields}}{7} \contentsline {section}{\tocsection {}{}{References}}{10}