Someone keeps using my email and phone number to sign me up for unwanted subscriptions. Is this against the law? If so, what steps can I take?

Someone has used my email address to start signing me up for unwanted subscriptions online. Recently, this person used my phone number to start signing me up for text subscriptions. I believe that this was done with malicious intent, as anyone to whom I would have given my email and phone number would not think that they were doing me a favor. I want to make this stop. First, I need to find out who it is. If there is someone way that I could say that this is against the law, it would make it easier when contacting some of these organizations (based on the content of others, I have no intention of dealing with them) in order for them to give me the relevant information such as IP address which I could use when contacting whichever company issued the router. Could this be classified as fraud, harassment, or something else? Any direct statues in NJ or US codes? Any other advise?