I think this might be a really simple problem, but I just don't know exactly what and where to enter the specific code and before I mess up, I thought it's better to ask for help here.
I was able to create multiple columns to display the latest posts. For that I created a category.php and tried it out there as I didn't want to mess up my index.php.
Now I quite like it and would like to use the same style for my actual category view as well. However, the current php code is meant to be for the normal Wordpress loop, so naturally only the latest posts are displayed, but they are not sorted by category, even if I click on the category link, e.g. category/uncategorized.
It's probably done with some kind of "if" command, but I'd really appreciate if somebody could help me.
My category.php looks like this right now: http://pastebin.com/69VXxytK
My website: zoomingjapan.com
Also, I'd like to have something like this for my front page: here I think I already know how to do it except for where to put the command which category should be shown.