When a single user continually votes (up or down) on many of your posts within a short period of time, the system considers these votes to be invalid and removes them. This could happen for a variety of reasons, such as a user finding a user's great answer and visiting all of their posts to upvote them, or a user getting into an argument with another user and downvoting their posts indiscriminately in revenge. No matter the cause, this sort of systematic targeted voting is not considered normal behavior and the system will not allow it.
If such a voting pattern continues to happen between two users mutually or from one user towards another, or otherwise falls outside of normal voting patterns, moderators and/or developers may investigate the matter; intentionally voting merely to reduce or inflate another user's reputation is considered abuse.
Such votes will generally be invalidated as part of an automated process that runs every day, but may also be invalidated manually by the staff after an investigation. When the votes are invalidated, the reputation gain or loss from the votes is undone, which results in a record in the recipient's reputation history labelled "voting corrected".
Should I be concerned about these correction statements on my profile?
No, not at all. It's only an indication of reputation change. After all, we can't control the actions of other users. It's very rare where we'd run across a user who was intentionally using votes to manipulate their own reputation, and most cases you would have already been contacted separately if we thought that was the case. As long as you're not intentionally abusing the system to manipulate someone else's reputation or your own, you do not have to worry about such entries - they're just an indication that the system is doing its job.