Zed will also melt you later after he's moved out of lane and picked up kills elsewhere because his kit allows him to do that quickly and efficiently while you're farming in lane taking mid, he's making up for it in bot and top lane helping them take easy leads and potentially dragon.
He has more poke than you do, doesn't rely on mana either. Can easily jump his W shadow to avoid your ricochet and double Q into your face.
Let's not forget your overextension makes for easy ganks.
If you want to counter zed, pick Kayle or grab a Quicksilver sash.