OPINION OF THE COURT
Petitioner, Lesline Veronica Cospito, petitions for review of a final order of removal issued by the Board of Immigration Appeals (“BIA”). For the reasons that follow, the petition for review will be dismissed in part and denied in part.
I.
Cospito, a native and citizen of Jamaica, arrived in the United States on February 14, 1991 as non-immigrant temporary worker with authorization to remain in this country until July 31, 1991. Cospito remained longer and, despite having two *168 convictions for crimes involving moral turpitude (i.e., Pennsylvania retail theft convictions from June 30, 1993 and March 28, 1996), Cospito managed to adjust her status to that of a lawful permanent resident (“LPR”) on October 20, 1998 on the basis of a marriage to a man nearly forty years her senior. After determining that Cospi-to willfully misrepresented the material facts of her two state court convictions by failing to disclose them, the former Immigration and Naturalization Service (now the Department of Homeland Security (“DHS”)) served her with a Notice to Appear on December 9, 2002, charging her as being subject to removal under INA § 237(a)(1)(A) [8 U.S.C. § 1227(a)(1)(A) ], as an alien inadmissible at the time of entry or adjustment of status because she procured her immigrant visa and admission to the United States by fraud or the willful misrepresentation of a material fact and as an alien who had been convicted of a crime involving moral turpitude, as well as under INA § 237(a)(2)(A)(ii) [8 U.S.C. § 1227(a)(2)(A)(ii) ] as an alien who had been convicted of two or more crimes involving moral turpitude after admission. A.R. 574-577. 1 The government subsequently filed additional factual allegations in support of the charge of inadmissibility on the basis of Cospito’s failure to disclose two previous applications for permanent residence when she sought to adjust her status in 1996. A.R. 570-573.
The Immigration Judge (“IJ”) sustained the removal charges based on Cospito’s certified records of conviction and on her 1996 1-485 adjustment application (wherein she misrepresented that she had not previously applied for adjustment when, in fact, two prior adjustment applications had been filed on her behalf). Cospito thereafter requested a waiver under INA § 212(h) for her two criminal convictions and a § 212(i) waiver for her failure to disclose those convictions and her prior applications on the 1-485. The IJ, however, determined that Cospito was statutorily ineligible for a waiver under either INA §§ 212(h) or 212(f) [8 U.S.C. §§ 1182(h) & (i)] insofar as both waivers require the applicant to establish hardship to a qualifying relative if the applicant is removed, a requirement the IJ concluded Cospito was unable to meet. Finally, the IJ found that Cospito was also statutorily ineligible for voluntary departure. Accordingly, the IJ denied petitioner’s waiver requests and ordered her removed to Jamaica. A.R. 91-100.
On appeal, the BIA adopted and affirmed the IJ’s decision with certain additions. The BIA found meritless Cospito’s argument that the DHS was collaterally estopped from initiating removal proceedings since it should have previously known of her criminal history and the existence of her prior applications to adjust status, notwithstanding that she denied these facts in writing. The BIA concluded that both it and the IJ lacked the authority to estop the DHS from pursuing a lawful course of action. The BIA went on to state that Cospito is not entitled to retain her status as a lawful permanent resident when that status was erroneously granted based upon her own misrepresentations. The BIA further found no clear error with the IJ’s factual findings, agreed that Cospito failed to show that extreme hardship would occur to a qualifying relative for waiver purposes, and affirmed the IJ’s denial of voluntary departure as it would have denied that benefit in the exercise of discretion given her repeated attempts to obtain an immigration benefit by providing false information. A.R. 39. The BIA dismissed Cospito’s appeal accordingly.
*169
Cospito thereafter petitioned this Court for review of the BIA’s order on February 6, 2006. The following day, we issued our decision in
Duvall v. Attorney General,
The BIA recognized this Court’s determination in
Duvall,
Once again, Cospito petitions this Court for review of the BIA’s order. In that petition, Cospito asserts that the DHS *170 should be collaterally estopped from raising as a basis for her removal convictions that it either knew about, or should have known about, at the time of the grant of LPR status, and that the IJ failed to properly consider all of the evidence of extreme hardship presented in support of her nunc pro tunc waiver requests and to examine such evidence in the aggregate.
II.
We have jurisdiction over the petition pursuant to INA § 242 [8 U.S.C. § 1252], As the government correctly points out, however, our jurisdiction does not extend to an agency’s factual and discretionary determinations underlying the denial of waivers based on an analysis involving extreme hardship.
See
INA 242(a)(2)(B) [8 U.S.C. § 1252(a)(2)(B)(i)];
Sukwanputra v. Gonzales,
Cospito’s challenge to the waiver determination in the instant case centers on the IJ’s consideration of the evidence petitioner submitted in support of a finding of extreme hardship to her qualifying relatives.
2
More particularly, Cospito argues that the IJ gave “short shrift to crucial evidence,”
see
Pet’s Brief at 33, “ignored crucial and uncontradicted evidence,”
id.
at 34, “failed to consider the emotional impact” on Mr. Cospito of the loss of his two young children who would return to Jamaica with petitioner,
id.,
and that the IJ “simply looked at individual factors” rather than provide an evaluation of the factors in the aggregate.
Id.
at 36. We agree with the government that these contentions do not raise constitutional claims or questions of law. Cospito’s arguments amount to nothing more than “quarrels over the exercise of discretion and the correctness of the factual findings reached by the agency.”
Emokah v. Mukasey,
523
*171
F.3d 110, 119 (2d Cir.2008),
quoting Camara,
The remainder of the petition for review will be denied. “Application of collateral estoppel is a question of law,
Nat’l R.R. Passenger Corp. v. Pa. Pub. Util. Comm’n,
It is well established that in order for collateral estoppel to apply, the following requirements must be met: “(1) the identical issue was previously adjudicated; (2) the issue was actually litigated; (3) the previous determination was necessary to the decision; and (4) the party being precluded from relitigating the issue was fully represented in the prior action.”
Id., quoting Henglein v. Colt Indus. Operating Corp.,
Moving beyond the non-adjudicative nature of the adjustment of status, Cospito’s collateral estoppel challenge faces additional insurmountable hurdles which require little in the way of elaboration. As the BIA determined, the issue of waiver
*172
was never raised, litigated or adjudicated during Cospito’s adjustment proceeding— a necessary precondition for application of the doctrine of collateral estoppel,
see Szehinskyj,
III.
Accordingly, given the foregoing reasons, the petition for review is (1) denied as to Cospito’s challenge to the BIA’s determination that the DHS was not collaterally estopped from raising issues concerning her adjustment of status, removability or any waiver of inadmissibility, and (2) dismissed as to Cospito’s challenge to the agency’s discretionary denial of her waiver requests. 3
Notes
. “A.R.” denotes the Administrative Record.
. We do not consider petitioner’s challenge that the agency misinterpreted the time frame under which a
nunc pro tunc
waiver request based on extreme hardship should be evaluated as no such argument was presented to the IJ or BIA.
See
8 U.S.C. § 1252(d)(1) (exhaustion of administrative remedies mandatory and jurisdictional);
see also Bonhometre v. Gonzales,
. Given our disposition, we need not reach the issue of the "fugitive disentitlement” doctrine raised by the respondent.
