From Wikipedia:
Gorsuch is a proponent of originalism, the idea that the Constitution should be interpreted as the Founding Fathers would have interpreted it, and of textualism, the idea that statutes should be interpreted literally, without considering the legislative history and underlying purpose of the law.
In a 2005 speech at Case Western Reserve University, Gorsuch said that judges should strive "to apply the law as it is, focusing backward, not forward, and looking to text, structure, and history to decide what a reasonable reader at the time of the events in question would have understood the law to be -- not to decide cases based on their own moral convictions or the policy consequences they believe might serve society best."
In a 2005 article published by National Review, Gorsuch argued that “American liberals have become addicted to the courtroom, relying on judges and lawyers rather than elected leaders and the ballot box, as the primary means of effecting their social agenda" and that they are "failing to reach out and persuade the public". Gorsuch wrote that, by relying on judges instead of elected officials and the ballot box to enact their agenda, American liberals are circumventing the democratic process on issues like gay marriage, school vouchers, and assisted suicide, and this has led to a compromised judiciary, which is no longer independent. Gorsuch wrote that American liberals' "overweening addiction" to using the courts for social debate is "bad for the nation and bad for the judiciary".