I'm italian american, and have lived in rome for over 30 years. (Also I'm not a sir, siduri is the name of a mythological female babylonian beermaker and innkeeper)
parmigiano reggiano is parmesan cheese, the real stuff, that you buy in a chunk with "parmigiano reggiano" written in black melted in dots on the crust, which you grate at home. Very expensive, but worth every penny. Tell me what kind of recipes you want - pasta, vegetables, meat, deserts?
Here's one to start. Pasta with cauliflower.
Take a cauliflower that's nice and white and hard. Cut it into small flowerets and slit through the stems so that none is thicker than 1/4 inch - you can slit a cross slit up the middle, or simply cut in half and then in quarters if they're big. Wash and drain.
Put about an eighth of an inch of extra virgin olive oil on the bottom of a heavy frying pan, cut 6 or 7 garlic cloves in slices (they don;t have to be thin), either black freshly ground pepper or one or two small red hot peppers (not sure what they call tehm there, cayenne?) or half a tsp red pepper flakes, add cauliflower and cook over very low heat, covered, and stirring occasionally so they don;t burn. The idea is that they should just get soft, and if anything very faintly golden brown towards the end. They have to sort of melt. Meanwhile boil the water for the pasta - you need a big pot, not a saucepan, 3 quarts of water or more and add a small handful of salt). When they're really soft cook the pasta: rigatoni, shells, big elbows, or even penne. No spaghetti or other long pasta. Cook over high heat in an uncovered pot, the pasta needs lots of room to float around, stir it at the beginning a couple of times so it doesn't stick together. Start tasting a couple of minutes before the time it says on the package. Bite into one, you should see a line of brighter white in the center. You want to cook it till that line is just barely or almost disappeared (question of taste) - it should be chewy but not stick too hard in your teeth.
Drain immediately, put back in its pot, put two handfuls of grated parmigiano reggiano on top, mix, and then add the cauliflower and mix well. Serve immediately.
You can do the same with zucchine, cut into half-inch pieces.