LIPEZ, Circuit Judge.
Habeas corpus petitioner Keith Mountjoy argues that his convictions for sexual assault and burglary must be set aside because the New Hampshire judge who presided over his trial did not advise him about his defense counsel’s possible conflict of interest and make an appropriate inquiry on the record, thereby violating his Sixth Amendment right to counsel. Federal review of habeas petitions is governed by the Antiterrorism and Effective Death Penalty Act of 1996 (AEDPA), 28 U.S.C. § 2254(d) (Supp. II 1996). Under the standards of AEDPA, the district court denied Mountjoy’s petition, finding that the underlying decision of the New Hampshire Supreme Court was neither contrary to nor an unreasonable application of clearly established federal law as determined by the Supreme Court of the United States. We affirm.
I.
The facts in this case are not disputed. In 1992, Keith Mountjoy was charged with aggravated felonious sexual assault and burglary. The victim was bound and raped by a man who came into her apartment in the early hours of January 4,1992. One of the government’s witnesses was Dennis Pratte, a police officer for the town of Newmarket who responded when the victim’s son called the police. Officer Pratte testified about interviewing the victim and collecting physical evidence. He gave testimony favorable to Mountjoy, reporting that the victim said she could not identify her attacker on the morning after she was raped.
Mountjoy’s first and second trials ended in hung juries. Defense counsel Stephen Jeffco represented Mountjoy at both trials, and Officer Pratte testified for the government at both. In January 1994 Jeffco agreed to defend Officer Pratte against charges of sexually assaulting his stepdaughter. Shortly before Mountjoy’s third trial began on April 11, 1994, Jeffco told' the trial judge that he was representing Pratte, who was then awaiting trial. Jeff-co said he did not think the simultaneous representation of Mountjoy and Pratte posed a conflict of interest for him. The prosecutor agreed. Jeffco also informed the court that he had told Mountjoy he was serving as Pratte’s lawyer, and that Mountjoy wanted Jeffco to continue representing him. Jeffco’s disclosure to the court took place in an unrecorded in-chambers conference. Mountjoy was not present, and the judge did not speak to him about Jeffco’s possible conflict of interest. Mountjoy did not object to Jeffco’s representation at trial.
While the record does not include transcripts of the first two trials, Mountjoy does not dispute that Pratte gave essentially the same testimony at the third trial that he had given at the first two, and that Jeffco cross-examined him in much the same way. Pratte’s testimony was again
helpful to the defense.
In his closing argument to the jury, Jeffco generally criticized Pratte’s police department for its investigation of the crime, particularly because of its failure to follow up on a lead about a possible second suspect.
On April 15, 1994, the jury convicted Mountjoy of both charges. The court imposed a 15 to.80 year sentence. On May 23, Mountjoy filed a pro se motion for judgment of acquittal on the ground that his counsel had a conflict of interest. The trial court appointed a public defender to represent Mountjoy during post-trial proceedings. Jn February 1995, the public defender filed a motion to set aside the verdict based on the court’s failure to inquire into Jeffeo’s conflict of interest and ineffective assistance of counsel. The trial court held a hearing on the matter on August 10, 1995. Mountjoy testified that Jeffco did not tell him about the simultaneous representation of Officer Pratte. In a deposition, Jeffco said that he told Mountjoy he was representing Pratte during a brief conversation on the steps of the courthouse just before the beginning of the thud trial. Jeffco said he did not specifically remember Mountjoy’s response, but that Mountjoy had consented to the concurrent representation. When asked about his cross-examination of Pratte, Jeff-co said he did not try to impeach Pratte because Pratte’s testimony was exculpatory..
The trial court denied Mountjoy’s motion for a new trial. The court found that Mountjoy knew about the concurrent representation, that Jeffco had defended the case in the same way at the third trial as he had at the first and second ones, and that the defense would have called Pratte as a witness because of his exculpatory testimony had the government not done so. The court acknowledged that it should have discussed Jeffco’s representation of Pratte with Mountjoy before trial, but held that its failure to do so did not warrant reversal. The court also denied Mountjoy’s claim that Jeffco did not provide Mountjoy effective assistance of counsel because of the possible conflict.
Mountjoy appealed to the New Hampshire Supreme Court. In a published opinion, the court denied relief.
See State v. Mountjoy,
142 N.H. 648, 708 A.2d 682 (1998). Mountjoy filed a petition for habe-as relief in state court on July 7, 1999.
The lower state court held a hearing on September 10, 1999, and denied relief on September 23. The New Hampshire Supreme Court declined to hear Mountjoy’s collateral appeal. Mountjoy filed a habeas petition in federal court on January 12, 2000, seeking collateral review of three claims: the trial judge’s failure to discuss with him before trial his right to conflict-free representation, ineffective assistance of appellate counsel, and delay in processing his state court appeal. After the district court denied the petition on all three grounds, it granted Mountjoy’s request for a certificate of appealability as to whether the trial court proceedings violated Mountjoy’s “constitutional right to conflict-free counsel.”
II.
AEDPA amended the federal law governing review of habeas petitions. In relevant part, the 1996 statute provides that
(d) An application for a writ of habeas corpus on behalf of a person in custody pursuant to the judgment of a State court shall not be granted with respect to any claim that was adjudicated on the merits in State court proceedings unless the adjudication of the claim—
(1) resulted in a decision that was contrary to, or involved an unreasonable application of, clearly established Federal law, as determined by the Supreme Court of the United States.
28 U.S.C. § 2254(d)(1). AEDPA “places a new constraint on the power of a federal habeas court to grant a state prisoner’s application for a writ of habeas corpus.”
Williams v. Taylor,
529 U.S. 362, 412, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000). Under the statute,
“we
focus the lens of our inquiry on the state ... court’s decision and ask whether the court’s application of the analytic framework dictated by the relevant Supreme Court precedents was objectively unreasonable” or contrary to that law.
See Williams v. Matesanz,
230 F.3d 421, 427-28 (1st Cir.2000).
AEDPA’s “contrary to” and “unreasonable application” clauses yield two separate categories of analysis.
Taylor,
529 U.S. at 405, 120 S.Ct. 1495;
O’Brien v. Dubois,
145 F.3d 16, 24 (1st Cir.1998). A state court decision is “contrary to” federal law as determined by the Supreme Court, and so may be set aside on federal habeas review, if it “applies a rule that contradicts the governing law set forth in our cases” or “confronts a set of facts that are materially indistinguishable from a decision of this Court and nevertheless arrives at a result different from our precedent.”
Taylor,
529 U.S. at 406, 120 S.Ct. 1495.
Alternately, a state court decision may be set aside as an “unreasonable application” of federal law as determined by the Supreme Court “if the state court identifies the correct governing legal rule from this Court’s cases but unreasonably applies it to the facts of the particular state prisoner’s case,” or “if the state court either unreasonably extends a legal principle from our precedent to a new context where it should not apply or unreasonably refuses to extend that principle to a new context where it should apply.”
Id.
at 408, 120 S.Ct. 1495. In defining an unreasonable application of federal law, the Court said that “the most important point is that an
unreasonable
application of federal law is different from an
incorrect
application of federal law.”
Id.
at 410, 120 S.Ct. 1495 (emphasis in original). Thus under AED-PA, “a federal habeas court may not issue the writ simply because that court concludes in its independent judgment that the relevant state-court decision applied clearly established federal law erroneously or incorrectly. Rather, that application must also be unreasonable.”
Id.
at 411, 120 S.Ct. 1495.
In Mountjoy’s case, the relevant state court decision for review under AEDPA is the New Hampshire Supreme Court decision on direct appeal in
State v. Mountjoy,
142 N.H. 648, 708 A.2d 682 (1998). As the New Hampshire court recognized, the governing Supreme Court precedents for Mountjoy’s claim that the trial court’s failure to advise him about Jeffco’s possible conflict of interest violated his Sixth Amendment rights are
Holloway v. Arkansas,
435 U.S. 475, 98 S.Ct. 1173, 55 L.Ed.2d 426 (1978);
Cuyler v. Sullivan,
446 U.S. 335, 100 S.Ct. 1708, 64 L.Ed.2d 333 (1980); and
Wood v. Georgia,
450 U.S. 261, 101 S.Ct. 1097, 67 L.Ed.2d 220 (1981). “To the extent that inferior
federal courts have decided factually similar cases, reference to those decisions is appropriate in assessing the reasonableness vebnon [under AEDPA] of the state court’s treatment of the contested issue.”
O’Brien,
145 F.3d at 25.
The New Hampshire Supreme Court neither applied a rule that contradicted the Supreme Court’s holdings in these cases nor reached a different result based on a set of materially indistinguishable facts. Thus AEDPA’s “contrary to” clause does not apply here.
See Taylor,
529 U.S. at 406, 120 S.Ct. 1495 (“a run-of-the-mill state-court decision applying the correct legal rule from our cases to the facts of a prisoner’s ease would not fit comfortably within § 2254(d)(l)’s ‘contrary to’ clause”);
Matesanz,
230 F.3d at 426 (“A state court decision that applies the correct legal rule but reaches an independent outcome on different facts cannot be deemed to run at cross purposes to Supreme Court precedent.”). We thus turn to AEDPA’s second inquiry: whether the New Hampshire court unreasonably applied
Holkmay, Sullivan,
and
Wood
to the facts of Mountjoy’s case. “This reduces to a question of whether the state court’s derivation of a case-specific rule from the Court’s generally relevant jurisprudence appears objectively reasonable.”
O’Brien,
145 F.3d at 25.
III.
A.
Relevant Supreme Court Precedents
The Sixth Amendment guarantees a defendant’s right to counsel in all criminal prosecutions. U.S. Const, amend. VI. Defendants have a “correlative right to representation that is free from conflicts of interest.”
Wood,
450 U.S. at 271, 101 S.Ct. 1097. Even if defense counsel has a conflict, however, the court may sometimes allow the attorney to continue with the representation if the defendant makes a voluntary, knowing, and intelligent waiver.
See Wheat v. United States,
486 U.S. 153, 163, 108 S.Ct. 1692, 100 L.Ed.2d 140 (1988) (district courts have substantial latitude in declining to grant waivers);
Holloway,
435 U.S. at 483 n. 5, 98 S.Ct. 1173 (a defendant may waive his right to representation that is “unhindered by a conflict of interests”). The purpose of a trial court’s inquiry into a possible conflict is to “evaluate the conflict and ensure it is either eliminated or waived.”
United States v. Rogers,
209 F.3d 139, 146 (2d Cir.2000). The inquiry thus includes an on-the-record discussion of the representation with the defendant.
Cf.
Fed.R.Crim.P. 44(c) (“[T]he court shall promptly inquire with respect to such joint representation and shall personally advise each, defendant of the right to the effective assistance of counsel, including separate representation.”). When courts do not obtain a waiver to conflict-free counsel (and even sometimes when they do), defendants may challenge the representation on appeal by bringing an ineffective assistance claim.
See Wheat,
486 U.S. at 162, 108 S.Ct. 1692.
The extent of the trial court’s responsibility to make an inquiry into the defendant’s understanding of a possible conflict is the subject of the Supreme Court’s decisions in
Holloiuay, Sullivan,
and
Wood.
In
Holloway,
one defense lawyer represented three co-defendants. In pre-trial motions and at trial, the lawyer repeatedly objected to the joint representation, telling the judge that his conflicting loyalties to his clients hindered his ability to advocate for them. The judge refused to appoint separate counsel and did not adequately inquire into the risk posed by the conflict.
Holloway,
435 U.S. at 484, 98 S.Ct. 1173. On appeal, the Supreme Court held that the Sixth Amendment requires automatic reversal of a conviction “whenever a trial court improperly requires joint represen
tation over timely objection.”
Id.
at 488, 98 S.Ct. 1173.
Holloway
premised its holding on the shared responsibility of the trial court and defense counsel to prevent conflicts from infringing on the defendant’s Sixth Amendment rights.
Id.
at 485, 98 S.Ct. 1173.
In
Sullivan,
the Court considered two questions left open in
Holloway:
whether a state trial judge must inquire about multiple representation even though no party objects at trial, and whether the “mere possibility of a conflict” means that a defendant’s Sixth Amendment rights were violated.
Sullivan,
446 U.S. at 345, 100 S.Ct. 1708. Emphasizing defense counsel’s ethical obligation to advise a trial court when a conflict arises, the Court said that when defense counsel does not alert the court to a conflict by objecting, “nothing in our precedents suggests that the Sixth Amendment requires state courts themselves to initiate inquiries into the propriety of multiple representation in every case.”
Id.
at 346, 100 S.Ct. 1708. At the same time, the Court left open some possibility, albeit a narrow one, that
Holloway
may apply without an objection by the defendant.
Absent special circumstances, therefore, trial courts may assume either that multiple representation entails no conflict or that the lawyer and his clients knowingly accept such risk of conflict as may exist.... Unless the trial court knows or reasonably should know that a particular conflict exists, the court need not initiate an inquiry.
Id.
at 346-47, 100 S.Ct. 1708 (footnotes omitted).
Addressing the relationship between a possible conflict and a Sixth Amendment violation,
Sullivan
next held that when a defendant does not object to a possible conflict and the trial judge is not otherwise alerted to such a conflict, the defendant “must demonstrate that an actual conflict of interest adversely affected his lawyer’s performance.”
Id.
at 348, 100 S.Ct. 1708. This showing of harm need not, however, rise to the level of prejudice. Instead, “prejudice is presumed when counsel is burdened by an actual conflict of interest.”
Strickland v. Washington,
466 U.S. 668, 692, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984). This presumption means that a defendant need not show’’ that he would not have been convicted but for choices his lawyer made because of conflicting loyalties.
Sullivan,
446 U.S. at 349-50, 100 S.Ct. 1708. Instead, the necessary showing might involve failure to-cross-examine a witness whose testimony favored one defendant in a joint representation over the other.
Id.
at 350, 100 S.Ct. 1708.
In
Wood v. Georgia,
in an unusual factual context, the Court again addressed the question of a trial court’s responsibility to inquire about a possible conflict. In
Wood,
three employees of an adult theater and bookstore were convicted of distributing obscene materials and sentenced to probation on the condition that they make installment payments toward $5,000 and $10,000 fines. The defendants defaulted on their payments, saying that they had expected their employer to pay the fines for them. The Supreme Court granted certiorari to determine whether imprisoning a probationer because he cannot pay a fíne violates the Equal Protection Clause.
Wood,
450 U.S. at 264, 101 S.Ct. 1097. After hearing the case, however, the Court decided it on a different due process ground. The Court noted that the employer’s lawyer had represented the defendants throughout the proceedings against them, and that this lawyer did not challenge the amount of the fines imposed at sentencing.
Id.
at 266-68, 101 S.Ct. 1097. The trial court was aware of these circumstances and the prosecutor raised the question of whether they gave rise to a conflict of interest.
Id.
at 272-73, 101 S.Ct. 1097.
Based on the record, the Court concluded that a possible conflict of interest was “sufficiently apparent ... to impose upon the court a duty to inquire further.”
Id.
at 272, 101 S.Ct. 1097. In response to the dissent’s argument that the majority had “gone beyond”
Sullivan,
the Court said:
nothing in that case rules out the raising of a conflict-of-interest problem that is apparent in the record. Moreover,
Sullivan
mandates a reversal when the trial court has failed to make an inquiry even though it ‘knows or reasonably should know that a particular conflict exists.’
Id.
at 272 n. 18, 101 S.Ct. 1097 (quoting
Sullivan,
446 U.S. at 347, 100 S.Ct. 1708).
Wood
thus emphasized that trial judges have a duty to inquire not only when defendants object to a possible conflict, but also when trial judges are or should be independently aware of a possible conflict. Yet the
Wood
Court did not impose the remedy of a new trial based on the trial judge’s failure to make the required inquiry, despite the above-quoted language from its own footnote about
Sullivan
mandating reversal under such circumstances. Moreover, without discussing the implications for Holloway’s rule of automatic reversal, the Court remanded the case for a hearing to determine “whether the conflict of interest that this record strongly suggests actually existed.”
Id.
at 273, 101 S.Ct. 1097.
Not surprisingly, the circuit courts have ruled differently in the wake of
Wood
about the type of remedy that is triggered when the trial court has a duty to inquire about a possible conflict and fails to do so. Some courts have reversed for a new trial whenever the possibility of a conflict was sufficiently apparent to impose a duty to inquire.
See Riggs v. United States,
209 F.3d 828, 831 n. 1 (6th Cir.2000);
United States v. Cook, 45
F.3d 388, 393-94 (10th Cir.1995);
Dawan v. Lockhart,
980 F.2d 470, 474-75 (8th Cir.1992). One court has held that a post-trial inquiry into a possible conflict that was evident before trial does not suffice.
See Rogers,
209 F.3d at 146. By contrast, we have held that in fight of
Wood,
automatic reversal is not required if a trial judge holds a post-trial hearing about whether an actual conflict developed that adversely affected counsel’s performance, the standard for reversal under
Sullivan. Brien v. United States,
695 F.2d 10, 15 n. 10 (1st Cir.1982) (petitioner’s § 2255 hearing could “serve the same function that the remand served in
Wood”).
With this background in mind, we turn to the New Hampshire Supreme Court’s decision in Mountjoy’s appeal.
B.
The New Hampshire Supreme Court’s Decision
On appeal to the New Hampshire Supreme Court, Mountjoy argued that the trial court’s failure to advise him about Jeffco’s possible conflict of interest required reversal of his conviction under
Holloway
and
Hopps v. State Board of Parole,
127 N.H. 133, 500 A.2d 355 (1985). In
Hopps,
the state Supreme Court established a prophylactic rule for criminal cases involving multiple representation. The rule requires defense counsel and the trial court to make a record of investigat
ing the possibility of a conflict of interest and of each client’s informed consent to the dual representation.
Id.
at 359. The
Hopps
court stated that judicial inquiry into possible conflicts was not constitutionally required, but was “the better course” because of the risk of conflict posed by multiple representation and the desirability of avoiding post-conviction challenges.
Id.
In deciding Mountjoy’s appeal, the New Hampshire Supreme Court held that
Hopps
should apply when the trial court is made aware of a possible conflict based on a defense attorney’s concurrent representation of a defendant and a government witness because of the “similar risk of conflict in such dual representation.”
Mountjoy,
708 A.2d at 683-84. The court said that Jeffco’s disclosure to the trial judge that he was representing Pratte should have prompted the judge to discuss the possible conflict with Mountjoy.
See id.
The court next considered whether Mountjoy was entitled to a reversal of his conviction because of the trial court’s failure to conduct a Hopps inquiry and secure the defendant’s waiver of conflict-free counsel. The court concluded that Mountjoy was not entitled to Holloway’s automatic reversal because such reversal is mandated only when “a trial court improperly requires joint representation [of eode-fendants] over timely objection.”
Id.
at 684 (citing
Holloway,
435 U.S. at 488, 98 S.Ct. 1173). The court ruled that the failure to inquire “merely requires this court to address a defendant’s claim that he was denied the effective assistance of counsel because of a conflict of interest.”
Id.
Noting that “[o]ur State constitutional standards are identical to their federal counterparts on this issue,” and citing
Sullivan
as the federal standard, the court said that Mountjoy needed to show that Jeffco’s conflict adversely affected his performance at the third trial.
The court then stated the standard for showing adverse effect that we set forth in
Brien v. United States,
695 F.2d 10.
See Mountjoy,
708 A.2d at 684. In
Brien,
we construed
Sullivan
as requiring a petitioner to show first that his lawyer might have pursued “some plausible alternative defense strategy or tactic,” and second that “the alternative defense was inherently in conflict with the attorney’s other loyalties or interests.”
Id.
at 15. Rather than testing Mountjoy’s claim against this standard, however, the New Hampshire court found that Mountjoy had waived the issue of whether Jeffco’s conflict adversely affected his performance because he had not briefed that issue on appeal.
Mountjoy, 708 A.2d
at 685.
In closing, the court said that
Wood
also did not entitle Mountjoy to the relief that he sought because the outcome in that case was a remand rather than a reversal.
Id.
Since the trial court held a post-trial hearing on Mountjoy’s claim and determined that Jeffco’s representation was not affected by an actual conflict, Mountjoy had already received the further consideration provided in
Wood
by a remand.
Id.
The New Hampshire Supreme Court’s conclusion that
Holloway
and
Wood
did not require reversal of Mountjoy’s conviction was a reasonable application of Supreme Court precedent.
It is true that the trial court knew about Jeffco’s possible conflict and so had a duty to inquire under
Sullivan
and
Wood. See also United States v. Hernandez-Lebron,
23 F.3d 600, 604 (1st Cir.1994) (“[Ijnquiries must be made into the propriety of multiple representation whenever the trial court knows or reasonably should know that a particular conflict exists.”). However, despite Wood’s statement that
Sullivan
mandates reversal when the court does not make the required inquiry, the Supreme Court in
Wood
did not grant a reversal in light of the lawyer’s possible conflict of interest, but rather remanded for further investigation. As the New Hampshire court recognized, in Mountjoy’s case that investigation occurred -when the trial judge held a post-trial healing to determine whether an actual conflict burdened Jeffco’s representation.
The New Hampshire Supreme Court took the same approach to the Supreme Court case law that this court took in
Brien v. United States,
695 F.2d 10. In that case, the defendant argued in a federal habeas petition that he was entitled to reversal under
Holloway
because he had been represented at trial by a lawyer who belonged to the same law firm as his eode-fendant’s lawyer. While Brien’s counsel did not bring the conflict to the court’s attention before trial, his codefendant’s counsel did. In response to Brien’s habeas petition, the district court held an eviden-tiary hearing, just as the New Hampshire court did after Mountjoy’s trial. Based on the evidence presented at the hearing, the district court found that Brien had not met his burden of proving an actual conflict under
Sullivan. Id.
at 15.
On appeal in
Brien,
we asked whether the trial court’s failure to inquire about the possible conflict before trial itself required reversal of Brien’s conviction, and found that it did not. We reasoned that by remanding
Wood
for further inquiry by the trial court, the Supreme Court signaled that convictions should only be reversed if there is a finding of an actual conflict that adversely affected the lawyer’s performance.
Id.
at 15 n. 10. We thus concluded that the petitioner’s habeas hearing could “serve the same function that the remand served in
Wood.” Id.
Like the habeas hearing in
Brien,
the post-trial evidentiary hearing that the New Hampshire trial court conducted in response to Mountjoy’s motion for a new trial also served the purpose of the remand in
Wood.
The court reexamined the trial transcript and the pleadings, and heard testimony about Jeffco’s possible conflict. The court’s factual findings go directly to the question of whether Jeffco’s representation of Pratte adversely affected his performance as Mountjoy’s counsel, the standard for reversal under
Sullivan.
Jeffco had represented Mountjoy in two previous trials and had cross-examined Pratte at both, and the trial court concluded that he conducted the cross-examination at the third trial in the same way that he had before he became Pratte’s lawyer. The court thus found that the facts of the case lent unusual certainty to the conclusion
that Jeffco’s dual representation did not cause Mountjoy harm.
We conclude, therefore, that the New Hampshire Supreme Court reasonably applied
Holloway, Sullivan,
and
Wood
in holding that the trial court’s failure to advise Mountjoy about his lawyer’s possible conflict of interest did not require automatic reversal, and that the post-trial evi-dentiary hearing held on the matter served the same function as the remand granted in
Wood.
Following the standards of AED-PA, we affirm.
Affirmed.