Transfer Changes Ivy League

Hi! I am a current freshman at the University of Nebraska-Lincoln, and I am currently applying to transfer to some more selective schools on the east coast. Specifically, I am looking at Columbia, Princeton, Harvard, Cornell, and Penn. I decided not to apply for schools that were outside of the midwest due to a family illness, but now I am able to comfortably go further away, to a school that has a better program for what I am interested in. I am a Political Science major.

Stats:
High School GPA: 3.98
ACT: 34
College GPA: 4.0

AP Scholar with Distinction

Extracurriculars:
College- Research assistant in a lab, executive board of my residence hall council
High school- Student ambassador, internship with a law firm, student coach of my mock trial team, global languages club

I also have letters of rec from Harvard and Columbia alumni

Did cornell offer you a transfer option?

Harvard+Princeton barely takes any transfer students, the ones they take re usually with hooks
Columbia/Penn are reaches simply because transferring to ivy league is extremely competitive.

Why only ivy-league tho?
Schools like Georgetown, Vanderbilt, Emory are more transfer-friendly and have great ps programs