Preheat the oven to 475° F.
Using a stand mixer, beat the butter until light and aerated.
While on medium speed, slowly add the eggs. (If the mixture separates, add some bread crumbs to bring it back together and keep on adding the eggs)
Stop the mixer, add the bread crumbs, almonds and garlic, and work until everything is just combined.
Remove the bowl from the mixer and add the ricotta, Parmesan, half the thyme leaves and ¼ tsp salt.
Fold gently until just combined, then set aside.
Roll out the pastry into 2 rectangular sheets each about 8 x 12" and 1/16 inch thick. Grease 2 baking sheets with a little bit of sunflower oil and lay your pastry pieces on top.
Use an offset spatula to spread the almond mixture evenly over the pastries, leaving a ¾-inch border around the edge.
Lay the tomato slices on top of each rectangle in 3 long rows, with a fair amount of overlap in the rows and between them.
Sprinkle the olives and the remaining thyme over the top.
Drizzle the tomatoes with half the olive oil and season with ¼ tsp salt and a good grind of black pepper.
Bake the tarts in the oven for 15 minutes.
Turn the temperature down to 400º F and continue baking for another 8 to 10 minutes, until the base is golden brown.
At the halfway point, switch the pans between the racks and rotate them back to front to ensure the tarts color evenly.
Once cooked, remove from the oven and allow to cool slightly.
Drizzle the remaining olive oil over the top and serve.