If your cooktop surface has a build of of residue which has caused what appears to be burn marks, you can easily clean by following the below steps:
To remove these, you will also need a silicone spatula to help scrape off the stain. Once done scraping, you can then make a baking soda paste and smear the using a sponge over the burned area. Cover the paste with a damp cloth for 30 minutes, then wipe it away.

Cleaning tough stains off ceramic cooktops can sometimes be a challenge. If baking soda and the silicon spatula don’t seem to work, you can switch to a more serious chemical solution such as Cerapol. These chemicals are specially formulated products that can help clean tough stains with ease. All you need is to sprinkle the solution on the stain, leave it for a few minutes, and wipe it off. This should leave your cooktop sparkling clean without abrasions or causing damage.