\begin{tikzpicture}

% draw axis
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$\Re z$};
\draw[thick, ->] (0cm, -3cm) -- (0cm, 3cm) node[anchor=east] {$\Im z$};

% draw closed loops
\draw[dotted, -latex] (1cm, 0cm) arc (0:360:1cm);
\draw[dotted, -latex] (2.5cm, 0cm) arc (0:360:2.5cm);

% draw arrows
\draw[-latex] (0,0) -- (1.75cm, 1.75cm) node[anchor=south] (z1) {$\abs{z_{(1)}} = e^{\uptau_{E\, (1)}}$};
\draw[-latex] (0,0) -- (0.45cm, -0.9cm) node[anchor=north west] (z0) {$\abs{z_{(0)}} = e^{\uptau_{E\, (0)}}$};

% draw isolated point
\draw[fill] (-1.5cm, 1.1cm) circle (2pt) node[anchor=south west] (w) {$w$};

% draw the names of the paths (use $\mathcal{C}$ instead of $\ccC$ if it does not compile)
\node (c0) at (-0.7cm, -1.2cm) {$\mathscr{C}_{(0)}$};
\node (c0) at (-1.5cm, -2.6cm) {$\mathscr{C}_{(1)}$};

\end{tikzpicture}


% vim: ft=tex