1. The complex number $z$ satisfies
$$
|z-\mathrm{i}|=|z-1|=|z-2015| \text {. }
$$

Then $z=$ . $\qquad$
$$
-, 1.1008+1008 \text { i. }
$$

Let $z=x+y$ i.
From $|z-\mathrm{i}|=|z-1| \Rightarrow x=y$.
Also from $|z-1|=|z-2015| \Rightarrow x=1008$.
Therefore, $z=1008+1008$ i.