I’ve heard that, prior to applying, undergraduates sometimes express interest to faculty members of graduate schools via email. I know that this is most often done (fairly?) close to the time of application, however, I still have a year before applying (graduating June 2021).
Is it unheard of for students to contact faculty a year before applying so they can establish some sort of research relationship? By “research relationship”, I mean something akin to typical undergraduate mathematics research (though with a professor at another institution), however diluted it may become due to distance. I’m interested in hearing how feasible this is!