With heat still at medium, stir in garlic and hot pepper (to taste), cooking a few moments. Add wine and slowly simmer down to practically nothing, scraping up brown bits at the bottom of the pan. Stir in tomato paste and cook 1 minute. Add tomatoes and their liquid, crushing them as they go into the pan. Cook, uncovered, at a lively bubble (turning heat up if necessary), stirring and scraping down sides of the pan with a spatula. Cook 10 minutes or until thick. Taste for seasoning, cover and remove from heat.
Time pasta to be ready when the sauce is done. Cook pasta in fiercely boiling water, stirring often until slightly underdone. Drain in a colander. Toss the pasta and sauce together over medium heat, 2 to 3 minutes, tasting for hot pepper and salt.
Spread about a third of the pasta in a heated serving bowl, daub with a third of the ricotta. Layer in more pasta, then ricotta, the pasta, and finish with a few spoonfuls of ricotta. Serve hot.