I am not overly familiar with Gantry's framework so I am can only speculate. When I look at your page, the menu seems to link to anchors on the page. when I click on an article title, it takes me to that page but all the way at the top (I am using Chrome).. not sure if you were aware of this.
1. Try changing to a stock template and see if the modules work correctly. If they do, you know it has something to do with your template.
2. Anyway.. I would unpublish all of your items and menus except for one to test and see if you can get it to work then.
3. Also, I have had times when, for whatever reason, Joomla couldn't tell which page I was on because of the way I set the link... you may want to try recreating a menu link directly to the item and see if the modules show up.
Hope this helps!
Aaron :)