From the Document: "Congress's power to establish rules for the admission of non-U.S. nationals (aliens) has long been viewed as plenary. In the Immigration and Nationality Act (INA), as amended, Congress has specified various grounds for the exclusion or removal of aliens, including grounds related to the commission of criminal conduct. Some criminal offenses committed by an alien who is present in the United States may render that alien subject to removal from the country. And certain offenses may preclude an alien outside the United States from either being admitted into the country or being permitted to reenter following an initial departure. Further, committing certain crimes may disqualify an alien from many forms of relief from removal, prevent an alien from adjusting to lawful permanent resident (LPR) status, or bar an LPR from naturalizing as a U.S. citizen. This report provides an overview of the major immigration consequences of criminal activity."
CRS Report for Congress, R45151
Congressional Research Service: https://crsreports.congress.gov/