Let $a$ be a real number and let $c$ be a complex number. The circle in Figure~\ref{fig:complex-number-geometry} is the set S = \{z \in \C : \abs{z - c} = a\}. One ...

Complex geometry, a rich interlace of algebra, analysis and geometry, continues to unveil surprising interconnections between abstract theories and practical applications. At its core, the study of ...

$$\mathcal{G}_{\pi}^{(0)}(\lambda) = e^{i\lambda G^4} \cdot \sum_{p \in \mathbb{P}} \frac{G^p}{p} \cdot \sin(p\lambda) + \pi\Phi(\lambda) + C_0$$ explicitly ...