After a criminal conviction, an individual defendant always has the right to appeal. This is what’s known as a direct appeal, and the defendant has the task of explaining to the appellate court what errors the trial court made that together render his conviction untrustworthy. Typically there are multiple levels – a state intermediate appeals court and a state high court, for example. In such appeals, the facts are usually not reweighed – the appellant cannot say, for instance, “The jury believed the eyewitnesses and convicted me, but that was an error, because they lied.” The appellate court generally treats facts found as true at trial as true on appeal, as long as there is some evidence in the record to support those facts; they do not re-weigh the credibility of witnesses as a general rule.
So in a direct appeal, the appellant is arguing that the trial court made errors of law, or abused its discretion. “The witness that testified against me was repeating hearsay, and the jury should never have heard that testimony,” or “The jury was told of my previous arrests even though they were not relevant to the current crime.”
That course ends at the state high court, for a state trial. (I say “high” instead of Supreme because not all states call their highest criminal appeals court a “supreme” court.) If you allege that the error was one of federal constitutional dimension, then the path can extend to asking the US Supreme Court to review your case.
Then it can get a little confusing.
The appeal process I describe above is a direct attack on the conviction. But even after that appeal is exhausted, it’s possible to mount a collateral attack against the conviction. You might, for example, ask the federal district court to order you set free if you allege your conviction violated federal constitutional guarantees and you have exhausted your direct state appeals. In years past, it was possible to approach these kinds of collateral attacks on a conviction in a number of ways. In the mid-1990s, Congress sharply limited this path by passing the Antiterrorism and Effective Death Penalty Act. This law dramatically limited the federal courts’ ability to intervene unless the conviction was completely contrary to clearly established federal caselaw from the Supreme Court, or based on a wholly unreasonable finding of facts in light of the evidence presented.
The law also removed the option of attempting multiple petitions for relief: all claims needed to be presented in the first collateral attack. A second attempt at a collateral attack could be summarily denied.
So the set of direct appeals, and post-conviction relief under federal law described above, is what I called “ordinary appeals.”