>>12531622I know plenty of algebra and geometry profs who use computers to help them do their research. I mean, let's not forget that a large part of ring theory comes down to computations that tell you structure, and you can automate a lot of that work with naive use of a computer.
For nontrivial use of a computer, you could look to anything published in the journal Experimental Mathematics or Mischaikow's computational homology book.
