The answer is Aaron Burr.
The Federalist Papers, consisting of 85 essays, was written by Alexander Hamilton, James Madison, and John Jay, and published in 1788. The series of essays aimed to defend the newly proposed U.S. Constitution by arguing that it was necessary to preserve the Union and empower the federal government to act firmly and coherently in the national interest.
Aaron Burr, a lawyer and politician, did not participate in the writing of the essays.