The issue with algae, without going into crazy discussion here, is more than just lights/ferts.
It's a balance of light / fertilizer / CO2 / plant mass. With more then enough, or less than enough of each variable, algae will have a window to grow.
In your situation, you could limit fertilizer dosing, but that may limit plant growth, without proper plant growth, eventually the algae will catch up. But, with too much fertilizer, the plants won't use it all, which leaves plenty available for algae. If you don't dose at all, algae will always find a way to live.
But, in that same scenario, light drives photosynthesis which is the root. Higher light = more efficient photosynthesis = more need for CO2/nutrients.
Less light = less photosynthesis = less need for CO2/nutrients.
Once you find the balance, it is much easier to keep algae under control.