Reporting Exogenous Participation Among Incoming Researchers in Academia Act or REPAIR Academia Act This bill imposes certain reporting requirements on the sponsor of an F, M, or J (student or exchange visitor) visa and authorizes the Department of Homeland Security (DHS) to revoke such a visa in certain instances. The Department of State shall require a sponsor of a J visa to report any change to the visa holder's primary field of study. The State Department and DHS shall require a sponsor of an F, M, or J visa to report when the visa holder is participating in a federally funded research program. DHS may review and revoke an F, M, or J visa in certain instances, such as finding that (1) the visa holder misrepresented an intention to pursue a field of study, or (2) the visa holder's participation in a federally funded research program poses a national security risk. The bill also imposes certain limits on the ability to appeal such a revocation decision.