Place artichokes into the bowl of a food processor. Pulse until coarsely chopped.
Add in parmesan cheese, cream cheese, mayo, salt, and pepper. Pulse in short bursts or until everything starts to blend. I added in a splash of water to get things going at first. Make sure to leave the dip slightly chunky, so it has a good texture.
Spoon dip into a bowl and stir in chopped jalapenos by hand. Serve with pita, crackers, tortilla chips, veggies, or anything else lying around. So so good :)