If using fresh milled Kamut flour, mill your wheat berries on the fine setting of your grain mill. For this recipe I milled 2 cups of Kamut berries.
In a large bowl, combine the water, oil, and sourdough starter. Mix well until mixture is cloudy.
Add the flour and salt and mix just until combined and no dry bits of flour remain.
Cover and let the dough sit for 30 minutes.
After 30 minutes, turn the dough onto a lightly flour surface and knead for 6-8 minutes until stretchy and glossy.
Alternatively, you can mix the dough in a stand mixer, cover for 30 minutes, and come back to knead the dough with a dough hook attachment.
After the dough is kneaded, return to the bowl, cover and let rise for 4-6 hours until the dough is noticeably puffy and risen by at least 25 percent.
Turn the risen dough onto a work surface and divide into 6 equal pieces.
Shape each piece of dough into a ball (hamburger bun shape) and place on a sheet pan that is either lightly greased or lined with a piece of parchment paper.
Cover with a damp tea towel and let the shaped buns rise an additional 1-2 hours.
Preheat the oven to 375 degrees F.
Bake in preheated oven for 18-20 minutes until golden brown.