So, what is the solar maximum?
We don’t often think about the sun changing, but the sun is changing all the time. It has a heartbeat of sorts that takes about five minutes, and we can listen to that wave passing through the sun. It also changes in brightness a little. But one of the most evident changes on the sun is that, if we use a special telescope to look at the sun and filter the sun's light down many times so it's safe to look at, we notice there are these dark marks on the sun.
Galileo was one of the first people to study these marks on the sun, and that was over 400 years ago. Very quickly after these sunspots were first discovered, astronomers noticed that sometimes there were a lot of spots on the sun, and sometimes there were no spots on the sun. They started to also notice a cycle, where every 11 years there would be a maximum number of spots on the sun, and then in the intervening periods, also on a cycle of 11 years, there would be a minimum number of sunspots, which might mean that you have two months where not a single spot is visible.
This solar cycle tells us something about the inside of the sun and its magnetic field. When we have the maximum number of sunspots, we call that the solar maximum.