Preheat the oven to 400°F (200°C). Grease the muffin tin with olive oil.
In a mixing bowl, combine warm water and active dry yeast. Let it sit for about 5 minutes until frothy.
Add the flour, olive oil, salt, minced garlic, and chopped rosemary to the yeast mixture. Mix until a dough forms.
Transfer the dough to a floured surface and knead it for 5 minutes until smooth and elastic.
Divide the dough into 12 equal portions and shape each portion into a ball.
Place the dough balls into the greased muffin tin, allowing space between them.
Cover the muffin tin with a clean kitchen towel and let the dough rise in a warm place for about 15 minutes, or until doubled in size.
Once risen, brush the tops of the muffins lightly with olive oil and sprinkle with coarse sea salt.
Bake in the preheated oven for 20 minutes, or until golden brown and cooked through.
Remove from the oven and let cool for a few minutes before transferring the muffins to a wire rack.