It is very common for professionals to maintain an active social media and web presence relating to their careers and professional activities that is separate from their personal online identity. This is especially true for academics, researchers, and entrepreneurs, but it is also true for other types of professionals.
This type of persona may include these pieces:
The key is to curate and connect your presence on these sites to all of your other professional profiles and activity, AND use it to connect to your peers and professional community.
Some professions expect you to have a personal website, and some do not. Most academic researchers or faculty do have such a site, typically on their employer's website. You may also create an independent personal page on a free services such as WordPress. The point is to have this site appear high in the search engine results and push down any useless or outdated results.
Your profile will typically include at least these basic elements: