Here is an idea. If you want people to find you more easily here on Mastodon, put your name in a #hashtag or two. Mine are:
#CarlIngalls (CamelCase version, which may be equivalent to all lower or all upper case)
#Carl_Ingalls (underscore version)
#Ingalls (since my last name is not all that common)
Apparently, the Mastodon #search feature does not search on plain words (words that are not preceded by a #) or phrases.