Can a state prisoner appeal a district court's denial of habeas relief?

A state prisoner seeking a writ of habeas corpus has no absolute entitlement to appeal a district court's denial of his petition, and an appeal is only allowed in certain circumstances. Miller-El v. Cockrell, 537 U.S. 322, 335-36 (2003). The controlling statute in determining whether to issue a certificate of appealability is 28 U.S.C. 2253, which provides as follows:

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If a court denies habeas relief on procedural grounds without reaching the underlying constitutional claims, the court should issue a certificate of appealability "if jurists of reason would find it debatable whether the petition states a valid claim of the denial of a constitutional right and that jurists of reason would find it debatable whether the district court was correct in its procedural ruling." Slack v. McDaniel, 529 U.S. 473, 484 (2000). "Where a plain procedural bar is present and the district court is correct to invoke it to dispose of the case, a reasonable jurist could not conclude either that the district court erred in dismissing the petition or that the petitioner should be allowed to proceed further." Id.