NOT FOR PUBLICATION*
ROMERO, Bankruptcy Judge.
David Terrell appeals the bankruptcy court's Order Granting United States' Motion for Summary Judgment and Notice of Opportunity for Hearing (the "Summary Judgment Order"),1 determining that Terrell's 1997 tax liability (the "Tax Liability") was nondischargeable pursuant to 11 U.S.C. § 523(a)(1) and granting summary judgment in favor of the Internal Revenue Service (the "IRS").2 He challenges the bankruptcy court's application of collateral estoppel arising from his previous criminal conviction for tax fraud and suggests that the bankruptcy court was required to determine the precise amount of his past due tax liability in the adversary proceeding. Because he is mistaken on both counts, we affirm.
I. FACTUAL AND PROCEDURAL HISTORY
In 2005, Terrell was charged with, and pleaded guilty to, willfully filing a false tax return for the tax year 1997 (the "Criminal Case").3 In his Petition to Enter Plea of Guilty (the "Plea Agreement"),4 Terrell admitted: (1) he prepared and signed his 1997 income tax return; (2) the return contained a written declaration that it was made under the penalty of perjury; (3) he did not believe the tax return was true and correct as to all material matters; and (4) he acted willfully in filing the return.5 Through the Plea Agreement, Terrell specifically admitted he falsely reported his total income as $10,000 on his 1997 tax return despite the knowledge that his total income was in excess of $130,000 for that tax year.6 On July 5, 2005, in the Criminal Case, the district court ordered that as a term of Terrell's probation, he was to "comply with the [IRS] in the compilation and payment of all federal income tax due and owing" and pay a penalty of $16,422.00 in restitution.7 Thereafter, on or around January 2, 2006, the IRS assessed Terrell for federal income tax of $53,618.00 and interest of $63,815.80 for the 1997 tax year.8
On November 1, 2010, Terrell filed a voluntary petition for Chapter 7 bankruptcy. The Notice of Meeting of Creditors included a statement that it was unnecessary for creditors to file any claims at that time and if assets became available for distribution, additional notice regarding the filing of claims would be issued. As a result, the IRS did not file a proof of claim. Three months later, the Chapter 7 Trustee filed a "Chapter 7 Trustee's Report of No Distribution,"9 and on February 16, 2011, Terrell received a discharge. On April 5, 2011, the bankruptcy court discharged the Chapter 7 Trustee and closed the case. Over four years later, the bankruptcy court reopened Terrell's case at his request.10
On November 3, 2015, Terrell filed this adversary proceeding. In his Complaint (the "Complaint"),11 he requested a determination that "any and all amounts the IRS claims [he] still owes for the 1997 tax year have either been paid in full or discharged pursuant to 11 U.S.C. § 523(a)(1)" (the "Adversary Proceeding").12 On January 20, 2016, the IRS filed the United States' Motion for Summary Judgment and Notice of Opportunity for Hearing,13 and the United States' Brief in Support of its Motion for Summary Judgment.14 The IRS argued it was entitled to summary judgment because, as a result of the Plea Agreement, "[t]he doctrine of collateral estoppel bar[red] Terrell from disputing those facts material to judgment in [the Adversary Proceeding]."15 On February 9, 2016, Terrell filed his response (the "Response"), arguing summary judgment was inappropriate because he was also requesting the bankruptcy court determine the amount of the Tax Liability under § 505(a)(1) (the "Tax Determination Request").16
On March 21, 2016, the bankruptcy court entered the Summary Judgment Order wherein it concluded the IRS was entitled to summary judgment finding: (1) Terrell signed and filed his 1997 federal income tax return under penalty of perjury, reporting $10,000 as his total income for that tax year when his income exceeded $130,000; (2) Terrell was charged with, and pleaded guilty to, filing a false income tax return; (3) in the Plea Agreement, Terrell admitted he acted willfully in filing the false tax return and he signed and filed his 1997 tax return with knowledge the return was not true as to all material matters; (4) Terrell admitted he knew his income was in excess of $130,000 and he deliberately filed the incorrect tax return; and (5) he was "the only party against whom the [judgment in the Criminal Case] was entered."17 The bankruptcy court held "a debtor who has been criminally convicted for tax-related crimes may be collaterally estopped from discharging his tax debt in bankruptcy for the subject years."18 Accordingly, the bankruptcy court concluded the Tax Liability was nondischargeable under § 523(a)(1)(C).19 Terrell now appeals the Summary Judgment Order.
II. STANDARD OF REVIEW
Appellant challenges the bankruptcy court's conclusions of law regarding the application of the doctrine of collateral estoppel. A bankruptcy court's application of collateral estoppel is reviewed de novo.20
The bankruptcy court did not err in applying collateral estoppel.
Terrell argues the bankruptcy court erred in determining his conviction in the Criminal Case collaterally estopped him from challenging the nondischargeability of the Tax Liability under § 523(a)(1)(C). He does not, however, present arguments as to why the bankruptcy court's application of collateral estoppel was in error.
The doctrine of collateral estoppel, also known as issue preclusion, bars the relitigation of identical issues between identical parties.21 Collateral estoppel applies to dischargeability proceedings in bankruptcy22 if the following elements are met:
(1) the issue previously decided is identical with the one presented in the action in question, (2) the prior action has been finally adjudicated on the merits, (3) the party against whom the doctrine is invoked was a party or in privity with a party to the prior adjudication, and (4) the party against whom the doctrine is raised had a full and fair opportunity to litigate the issue in the prior action.23
In the instant case, the bankruptcy court correctly applied the collateral estoppel doctrine. First, the issue in the Criminal Case is identical to the issue presented in the Adversary Proceeding.24 The factual issues underlying Terrell's criminal conviction were the same factual issues before the bankruptcy court in considering nondischargeability under § 523(a)(1)(C): whether Terrell was guilty under 26 U.S.C. § 7206(1);25 whether he knew he filed his 1997 income tax return under penalty of perjury; whether he knew his reported income was substantially inaccurate;26 and whether he deliberately and intentionally filed an incorrect tax return. Second, Terrell's guilty plea in the Criminal Case constitutes a full adjudication on the merits.27 Third, both Terrell and the IRS were parties to the Criminal Case. Finally, Terrell had a full and fair opportunity to litigate the Criminal Case.28 Accordingly, upon applying de novo review, we hold the bankruptcy court did not err in its application of collateral estoppel.
Now, for the first time, Terrell also argues summary judgment was inappropriate because he "sought to have the Bankruptcy Court determine the total amount of taxes, if any, that he owe[d] for the 1997 tax year."29 He claims that the bankruptcy court's failure to address that was error. We may consider Terrell's arguments only if the Complaint included the Tax Determination Request as a distinct claim for relief.30 Because it did not, we need not reach the merits of this argument.31
While Terrell argues he raised the Tax Determination Request in his Response;32 merely raising a claim for relief in a response to a summary judgment motion is insufficient to constitute an amendment to a complaint.33 Accordingly, the bankruptcy court did not err in granting the Motion for Summary Judgment and determining the Tax Liability to be nondischargeable pursuant to § 523(a)(1)(C).
The bankruptcy court did not err in determining the doctrine of collateral estoppel barred Terrell from disputing facts material to the determination of dischargeability of the Tax Liability and did not err in determining the Tax Liability to be nondischargeable pursuant to § 523(a)(1)(C). Accordingly, the bankruptcy court's decision should be AFFIRMED.