It would appear that you are either using a plugin for asides that’s generating that, or the designer of your site put together a hack to pull those categories out to the side. Either way, I don’t think I’ll be able to help much, but I can try. If anyone else who knows more about how this works would like to jump in here, please do!
About all I can probably help with is that in looking at your source code I see a line that says <!-- category-based link loop -->
just above those sections.
If you can find the file that contains that comment, you can find the code that generates this. However, you’re probably going to need to know a bit of PHP to be able to do anything with it in terms of fixing it. The only references I was able to find in searching for that are bits and pieces of conversations from 2 years ago… and none were very helpful.
Any long timers around here who know what that is / how to fix the issue?
I’m thinking it was a hack put in by your designer, and he or she may be able to help you more… I can’t tell what version of WP you’re using, but it looks to be an older one (it’s using wp-layout.css instead of a theme based style.css, and if I’m remembering right, WP 1.2?), so it’s not something that’s going to be fresh in a lot of people’s brains.
This is one of those problems that without digging into your actual code will be hard to solve. Sorry I can’t be of more help…