OPINION OF THE COURT
GARTH, Circuit Judge.
Dr. Nolvert P. Scott, Jr., a black former assistant professor at the University of Delaware, contended that the University discriminated on the basis of race in the hiring and promotion of its faculty members. He brought this action in the district court alleging claims under Title VII and the Civil Rights Acts of 1866 and 1871. Scott sought relief on his individual claims and on the claims of a class consisting of prospective faculty members who might be discriminated against by the University’s hiring practices and current faculty members subject to discrimination by the University’s contract renewal, promotion, and tenure practices. The district court, after certifying the class action, found against Scott on both his individual and class claims. The issues before the district court are now presented to us on appeal.
We conclude that the district court properly ruled against Scott on his individual [79]*79claims. With respect to the class claims, we hold that the class action should have been decertified, and thus do not reach the merits of the class action.
I. BACKGROUND.
Dr. Scott, who had only recently received his doctoral degree in sociology, was appointed an assistant professor in the University’s Sociology Department in September, 1971. His previous experience included eight years of teaching at a Canadian University and three years as a part-time graduate teaching assistant at Pennsylvania State University. During negotiations for his appointment to the Sociology Department, he requested and received from the University a salary commitment of $15,000 during the first year of his three year contract. This was $3,000 above the rate at which the University normally compensated new faculty members in the Sociology Department who possessed doctoral degrees.
When new faculty members were appointed to the Sociology Department, they were provided with a mimeographed brochure describing the personnel policies of the department. This brochure, originally published in 1969, described the criteria that would be considered in contract renewal, promotion, and tenure decisions;1
The criteria fall into three general categories; 1) teaching effort and effectiveness, 2) scholarly activity, and 3) service to the department, the University, the community. Criteria in all three categories will be considered in formulating a recommendation.
The brochure thus served to inform new faculty members of the basic criteria that would be considered in contract renewal decisions.
During his discussions with the sociology faculty, Scott was informed that it was the general practice of the Department to evaluate candidates for contract renewal at the end of the second year of their three year contract. In this way, a candidate would receive one year’s notice in the event his or her contract was not to be renewed. On May 1, 1973, the Sociology Department faculty met and reviewed Scott’s performance, but concluded that Scott had produced inadequate evidence of research activity to permit a thorough evaluation of his work. As a consequence, Scott was asked to submit additional materials regarding his scholarly activities. On May 3, 1973, those members of the faculty in the Department who were senior to Scott met and, on the basis of Scott’s supplemented record, recommended that his contract not be renewed. On May 8, 1973, the full Sociology Department met and voted against renewal 9 to 1, with 2 abstentions. Accordingly, Scott’s employment with the University was terminated when his contract expired after the 1973-74 academic year. Scott then commenced this legal action. It was reported to this court at the time of oral argument on this appeal that on March 31, 1979, Dr. Scott had died.
II. SCOTT’S INDIVIDUAL CLAIMS.
Scott alleged individual claims of discrimination under Title VII of the Civil Rights Act of 1964, 42 U.S.C. § 2000e et seq., and the Civil Rights Acts of 1866, 42 U.S.C. § 1981, and 1871, 42 U.S.C. § 1983. With respect to each of these claims Scott proceeded in the district court on a “disparate treatment” theory, contending that he was purposefully treated less favorably by the University than similarly situated white faculty members. Both in the district court and on appeal, the parties have proceeded under the assumption that the substantive scope of liability under each of the Civil Rights Acts is the same with respect to Scott’s individual claims of discrimination. Since the case has been presented to us in these terms, we will assume without deciding that this reflects a proper interpretation of these statutes.2
[80]*80The parameters of a disparate treatment theory in the context of an individual Title VII action were described by the Supreme Court in McDonnell Douglas Corporation v. Green, 411 U.S. 792, 802, 93 S.Ct. 1817, 1824, 36 L.Ed.2d 668 (1973) (footnote omitted):
The complainant in a Title VII trial must carry the initial burden under the statute of establishing a prima facie case of. racial discrimination. This may be done by showing (i) that he belongs to a racial minority; (ii) that he applied and was qualified for a job for which the employer was seeking applicants; (iii) that, despite his qualifications, he was rejected; and (iv) that, after his rejection, the position remained open and the employer continued to seek applicants from persons of complainant’s qualifications.
Once the plaintiff establishes such a prima facie case, “[t]he burden must shift to the employer to articulate some legitimate, nondiscriminatory reason for the employee’s rejection.” Id. If the employer produces evidence which satisfies this burden, the individual plaintiff must then be presented with “a fair opportunity to show that [the employer’s] stated reason for [the individual plaintiff’s] rejection was in fact pretext.” Id. at 803, 93 S.Ct. at 1824. Accord, Furnco Construction Corporation v. Waters, 438 U.S. 567, 575-78, 98 S.Ct. 2943, 57 L.Ed.2d 957 (1978).3
In International Brotherhood of Teamsters v. United States, 431 U.S. 324, 97 S.Ct. 1843, 52 L.Ed.2d 396 (1977), the Supreme Court expressed what was only implicit in McDonnell Douglas — that proof of discriminatory motive is required in a disparate treatment action. This disparate treatment theory of discrimination was explained as follows:
“Disparate treatment” such as is alleged in the present case is the most easily understood type of discrimination. The employer simply treats some people less favorably than others because of their race, color, religion, sex, or national origin. Proof of discriminatory motive is critical, although it can in some situations be inferred from the mere fact of differences in treatment. See, e.g., Village of Arlington Heights v. Metropolitan Housing Dev. Corp., 429 U.S. 252, 265-266, [97 S.Ct. 555, 563-565, 50 L.Ed.2d 450],
Id. at 335 n.15, 97 S.Ct. at 1854.
The citation to Arlington Heights suggests that the motive requirement in dispa[81]*81rate treatment cases is similar to that prevailing in equal protection analysis. See generally The Supreme Court, 1976 Term, 91 Harv.L.Rev. 70, 163 (1977).
In order to establish his disparate treatment claim, Scott presented evidence concerning the University’s contract renewal and promotion practices with respect to other members of the faculty. He also presented evidence of individual instances of discrimination against him by members of the University community. Scott contended that this evidence demonstrated the University’s discriminatory behavior in that other members of the faculty were granted contract renewals or promotions despite performance in the areas of teaching, scholarship, and community service which was comparable or inferior to his own. After a careful analysis of this evidence and of the facts surrounding the decision not to renew Scott’s contract,4 the district court concluded, essentially on two grounds, that Scott had failed to establish a prima facie case. First, the district court found that the non-renewal of Scott’s contract was not motivated by any racial animus, but “resulted from the opinion of nine members of the Sociology Department that [Scott] was not, and would not develop into, an acceptable permanent professional colleague.”5 Second, the district court found that Scott was not similarly situated to those whom he alleges received preferential treatment, and that Scott’s evidence concerning the University’s treatment of other faculty members did not indicate racial discrimination.6
Members of the sociology department testified at trial that although Scott’s rating in connection with service to the community was high, he had not developed the high performance levels in the areas of scholarship and teaching that would justify contract renewal. The evidence indicated that Scott had not established a satisfactory record of publication in professional journals and that his teaching effectiveness, despite his previous extensive teaching experience, was criticized by both faculty members and students.
Scott's claim that he was comparable to other faculty members who received preferential treatment was undermined by evidence indicating that those other faculty members lacked his previous teaching experience and that the contract renewal and promotion criteria employed in other departments differed somewhat from those used in the Sociology Department. Moreover, many faculty members with whom Scott compared himself had accepted positions at the University prior to 1967, the year in which the University changed its employment policies to emphasize scholarship as a primary criterion in faculty hiring, renewal, and promotions. The University simply provided these faculty members with an opportunity to prove themselves under the new criteria; when they failed to do so, they were terminated. Scott, in contrast, was fully apprised of the relevant evaluation criteria shortly after he assumed his position at the University. Based on this evidence the district court found that Scott was not similarly situated to other faculty members and that the nonrenewal of his contract was motivated not by racial considerations but by a general view “that Scott was not the kind of ‘sociologist’s sociologist’ the department was looking for.”7
Our review of the record satisfies us that the evidence supports the district court’s findings of fact, and that these findings are not clearly erroneous. See Krasnov v. Dinan, 465 F.2d 1298, 1302 (3d Cir. 1972) (clearly erroneous standard or review of factfindings in non-jury civil cases). We therefore affirm the entry of judgment against Scott on his individual claims under Title VII, § 1981, and § 1983.8
[82]*82III. CLASS CLAIMS.
A. The District Court’s Class Certification Order.
In addition to his individual claims, Scott sought certification of a class composed “of all blacks who have been or will be discriminated against on the basis of race and color in hiring, firing, recruitment, promotion, supervision, wages, terms, conditions and privileges of employment by defendants.” 9 He alleged that the Rule 23(a) prerequisites for class certification were satisfied, including the assertion that the class was so numerous as to render joinder of all members impracticable. On September 29, 1975, the district court, over the University’s objection, certified the class requested by Scott.10 For purposes of trial, however, two subclasses were informally recognized by the district court: “a class which includes blacks who allegedly have been or will be discriminated against in recruitment and hiring,” 11 and a class of black University faculty members who have been discriminated against in the terms and conditions of their employment. With respect to both subclasses, the district court concluded that class treatment was appropriate under Rule 23(b)(2) because injunctive or declaratory relief was sought with respect to the class certified as a whole.
Both in the district court and now on appeal, the University has contested the correctness of the district court’s class certification. This attack is concentrated on Scott’s alleged failure to satisfy the prerequisites for class maintenance set forth in Rule 23(a). Scott, in turn, contends that the class certification issue is not properly before us for review and, alternatively, that the class was properly certified. Accordingly, we first turn to the reviewability of the class certification issue.
B. Reviewability of Class Certification Order.
Scott contends that the propriety of the class certification is not properly before us for review because the University has failed to take a cross-appeal.12 For several [83]*83reasons, we are unpersuaded by his argument. The failure to file a cross-appeal does not affect our power to consider the class certification issue. See Rhoads v. Ford Motor Co., 514 F.2d 931, 934 (3d Cir. 1975); Chicago, Burlington & Quincy R.R. Co. v. Ready Mixed Concrete Co., 487 F.2d 1263, 1268 n.5 (8th Cir. 1973); Arnold’s Hofbrau, Inc. v. George Hyman Construction Co., Inc., 156 U.S.App.D.C. 253, 258, 480 F.2d 1145, 1150 (1973); Tug Raven v. Trexler, 419 F.2d 536, 548 (4th Cir. 1969), cert. denied, 398 U.S. 938, 90 S.Ct. 1843, 26 L.Ed.2d 271 (1970); 15 C. Wright, A. Miller & E. Cooper, Federal Practice and Procedure § 3904 (1976); 9 J. Moore, B. Ward & J. Lucas, Moore’s Federal Practice ¶204.-11[5] (2d ed. 1975). This requirement has been described as a “rule of practice,” Tug Raven v. Trexler, 419 F.2d at 548, rather than a jurisdictional restriction on federal appellate courts. Although generally we restrict the exercise of our appellate jurisdiction to occasions in which a formal cross-appeal has been filed,13 in cases such as this, we are not mandated to do so. See United States v. United States Steel Corporation, 520 F.2d 1043, 1052 (5th Cir. 1975), cert. denied, 429 U.S. 817, 97 S.Ct. 61, 50 L.Ed.2d 77 (1976).
In this case, the alignment of the parties makes it particularly inappropriate that we deny review of the class certification. Here, it is the absent class members who will be harmed by the effect of the district court’s judgment in favor of the University on the merits of the class claims. These absentees, however, cannot be expected to be represented adequately by the University, the party that is perforce assigned to challenge the class certification. Nor can it be assumed that they will be represented adequately or effectively by the named class representative — the party that sought class certification — when the propriety of the class certification is challenged on grounds suggesting inadequate representation. In this circumstance, “there remains a duty upon the court to consider carefully the requirement of fair and adequate protection in view of the serious consequences of res judicata in class actions.” EEOC v. Detroit Edison Co., 515 F.2d 301, 311 (6th Cir. 1975), vacated and remanded on other grounds, 431 U.S. 951, 97 S.Ct. 2668, 53 L.Ed.2d 267 (1977). The record here reveals apparent deficiencies in the satisfaction of the Rule 23(a) requirements for class certification, deficiencies which militate strongly against certification of the class. If the University’s failure to file a cross-appeal were permitted to control our review of the certification issue, we would be abdicating our responsibility to absent class members.
In this case, therefore, we follow the practice established in Rhoads v. Ford Motor Company, 514 F.2d at 934, where Judge Aldisert wrote:
[84]*84While better practice would have dictated that Rhoads file a protective cross-appeal, in these circumstances we will not allow his failure to file a notice of appeal to preclude our review of the record. In this respect, we follow the rule we recently invoked in a modified context: once appellate jurisdiction attaches, “ ‘the power of the court of appeals should be plenary to the extent that it chooses to exercise it. A court should not close its eyes to what is plainly there.’ ” McCreary Tire & Rubber Co. v. CEAT S.p.A., 501 F.2d 1032, 1038 (3 Cir. 1974), quoting 9 J. Moore, Federal Practice ¶ 110.25[1], at 273 (2d ed. 1973).
With these considerations in mind, we next turn to the propriety of the district court’s actions in certifying the class action and in then refusing to decertify it in light of the facts developed at trial.
C. Merits of the Class Certification Order.
The University contends that Scott failed to satisfy the numerosity, commonality, and typicality prerequisites to class certification set forth in Rule 23(a).14 No point is made on appeal concerning the district court’s conclusion that the requirements of Rule 23(b)(2) were satisfied in this case. Accordingly, we will focus our attention on the prerequisites for class treatment set forth in Rule 23(a).15 This subdivision states that class certification is proper only if “(1) the class is so numerous that joinder of all members is impracticable, (2) there are questions of law or fact common to the class, (3) the claims or defenses of the representative parties are typical of the claims or defenses of the class, and (4) the representative parties will fairly and adequately protect the interests of the class.” Fed.R. Civ.Proc. 23(a).16
The subdivision (a) prerequisites to class certification perform two principal functions. By requiring the existence of common questions of law or fact and the impracticability of joinder, a threshold standard as to the appropriateness of class treatment is established. The requirements of commonality, typicality, and adequacy of protection afforded the interests of unnamed class members, in turn, all assure that the interests of absent class members will be adequately represented by the named class representatives.17 Adequate representation, in addition to being re[85]*85quired by Rule 23, is constitutionally mandated if absent class members are to be bound by the judgment concerning the class claims. Hansberry v. Lee, 311 U.S. 32, 61 S.Ct. 115, 85 L.Ed. 22 (1940). According to the University, the facts developed at trial disclosed that the Rule 23(a) prerequisites would not be satisfied by certification of either a class (or subclass) consisting of applicants seeking faculty positions or a class consisting of those who have obtained faculty status.18
1. Applicant Class.
Two basic objections are raised to Scott representing a subclass consisting of applicants seeking faculty positions who challenge the University’s alleged discriminatory hiring practices. First, since Scott was a faculty member of the University at the time this lawsuit was commenced and since he personally does not complain of discrimination in his hiring, his claim against the University is not typical of those applicants who have sought or who may hereafter seek faculty positions. Second, Scott did not allege, and the evidence adduced at trial did not disclose, that any identified individuals were discriminated against by the University’s hiring practices. The University contends that the applicant class which Scott sought to represent is nothing more than hypothetical and that the numerosity requirement is therefore unsatisfied.
When the interests of the named class representative and unnamed class members coincide, there is no question but that insofar as the claims are concerned the typicality requirement of subdivision (a) is satisfied. See, e. g., In re Sugar Industry Antitrust Litigation, 73 F.R.D. 322, 336 (E.D.Pa.1976); Hernandez v. United Fire Insurance Co., 79 F.R.D. 419, 425 (N.D.Ill.1978). That however, is not this case. Nor is our case one in which the interests of the named representative merely diverge from, but do not clearly conflict with, those of unnamed class members. Often such a divergence will be harmless in that it will not impair the incentive of the named representative in vigorously prosecuting all aspects of the case. See Sullivan v. Chase Investment Services of Boston, Inc., 79 F.R.D. 246, 257-58 (N.D.Cal.1978); Dolgow v. Anderson, 43 F.R.D. 472, 494 (E.D.N.Y.1968), rev’d on other grounds, 438 F.2d 825 (2d Cir. 1970).19 Moreover, when notice to [86]*86absentees is required, class members with divergent claims or strategies will be able to inform the court of their views. If necessary, the court may designate a number of class representatives, each advancing somewhat different theories of the ease, and may establish subclasses to accommodate divergent views as the litigation proceeds. See Developments in the Law — Class Actions, 89 Harv.L.Rev. 1318, 1475-89 (1976). No mere divergence of interests is presented, however, by Scott’s complaint. Rather, the case before us presents a clear conflict of interests between Scott, the named representative, and the unnamed members of the applicant subclass. These antagonistic interests leave no doubt that failure to decertify the class action was improper. See Wetzel v. Liberty Mutual Insurance Co., 508 F.2d 239, 243 (3d Cir.), cert. denied, 421 U.S. 1011, 95 S.Ct. 2415, 44 L.Ed.2d 679 (1975).
The record discloses that Scott was the sole named representative in this case, and that his interests as a faculty member whose contract was subject to renewal were necessarily in conflict with those of applicants for positions on the University faculty. Scott had received an appointment to the University faculty, and held a doctor of philosophy degree when he assumed his position. Moreover, he received a premium over the salary normally paid by the University. Understandably, in view of these facts, he could not, and does not, claim that he was discriminated against by the University’s hiring policies. Despite these facts, Scott seeks to lead a challenge against the same University hiring policies which resulted in his employment. Moreover, in so doing, he disputes the validity of the University’s requirement of a doctoral degree as a primary hiring criterion. He thus attacks, via the applicant class, the very degree which he possesses and which he asserts in his own favor in seeking relief on his individual disparate treatment claim. The assertion of these inconsistent positions necessarily forecloses any contention that Scott’s claims are typical of the claims of those applying for faculty positions. Under these circumstances, it cannot be said that Scott was an adequate representative of the unnamed members of a class seeking employment.20 This being so, the prerequisites for certification of such a class were not satisfied.21
East Texas Motor Freight System, Inc. v. Rodriguez, 431 U.S. 395, 97 S.Ct. 1891, 52 L.Ed.2d 453 (1977), provides strong support [87]*87for the result which we reach here. The Supreme Court there held that the court of appeals erred in certifying on appeal a discrimination action for class treatment since “it was evident by the time the case reached that court that the named plaintiffs were not proper class representatives under Fed.Rule Civ.Proc. 23(a).” Id. at 403, 97 S.Ct. at 1896.22 They were not proper class representatives because the district court found that the plaintiffs lacked the qualifications to be hired for the positions which they sought. “Thus, they could have suffered no injury as a result of the alleged discriminatory practices, and they were, therefore, simply not eligible to represent a class of persons who did allegedly suffer injury.” Id. at 403-04, 97 S.Ct. at 1897. Moreover, the Court noted that the named plaintiffs had failed to move for class certification in the district court, and that they were demanding certain forms of relief in conflict with the views expressed by members of the class they sought to represent. See id. at 404-05, 97 S.Ct. 1891.
Similarly, in this case, Scott concedes that he personally suffered no discrimination when he was hired. Since he was not injured by any alleged discriminatory hiring practices, it is doubtful after East Texas Motor Freight that he can lead a class challenging the University’s hiring practices.23 Furthermore, Scott’s attack on the University’s hiring practices was in crucial respects in conflict with his individual claims. The existence of this conflict [88]*88makes this case an even stronger one than East Texas Motor Freight for denying class treatment, and impels us to hold that the district court erred in refusing to decertify the applicant class with Scott as its named representative once this conflict became apparent.24
2. Faculty Class.
In addition to the subclass of applicants for faculty positions at the University, the district court’s class certification order included a subclass of all faculty members who have been or in the future will be discriminated against on racial grounds with respect to the University’s contract renewal, promotion, and tenure policies. The University contends, however, that de-certification was required with respect to this subclass because the Rule 23(a) numer-osity requirement was not satisfied.
The numerosity requirement was designed “ ‘to prevent members of a small class from being unnecessarily deprived of their rights without a day in court’ by the opposing party or by only a few members of the class resorting to Rule 23.” 7 C. Wright & A. Miller, Federal Practice and Procedure § 1762 at 593 (1972). It also fosters the interest of the court in assuring a full and fair exposition of views by all affected parties when it is practicable to join them in a single proceeding. These beneficial objectives are undermined, however, by the facile conclusion that the numerosity requirement may always be satisfied in antidis-crimination class actions because there exist unidentified future class members who may suffer discrimination.25 We cannot ignore the possibility that “the framing of over-broad classes may result in the loss of claims of absent members which, had the class been appropriately framed, might well have been successfully asserted.” Harriss v. Pan American World Airways, Inc., 74 F.R.D. 24, 43 (N.D.Cal.1977).
The findings of fact made by the district court in this case reveal that only a small number of black faculty members had been subjected to the University’s employment practices. With respect to promotions and tenure, the district court made the following findings:
Of the twelve black full time faculty at the time of trial, two were tenured and two were on the verge of being tenured. Of the remaining eight black faculty members, only four had been on the faculty for three years. Of these four, Gregory and Miles had only Bachelor’s degrees, and Farrow and Washington had only Master’s degrees. Thus, every black faculty member with a doctorate and with three or more years of service at the University was tenured or near tenure. The only other black faculty members who have stayed at the University for more than three years in the past were Hilda Davis, a Ph.D. in Sociology, who had a special function in the Writing Center of the English Department, and Mary Farrell, who had only a Master’s degree, and who was recommended for [89]*89promotion (though not tenure) when she left the University in 1974. In addition, the University has attempted to hire Doctors Eubanks and Colson into tenured positions on its faculty.
The record on promotions is too sketchy to draw any inference. All we know is that there were some promotions of black faculty and that the EEOC found that two of the three blacks who became eligible for promotion between 1972 and 1975 were promoted.
455 F.Supp. at 1131-32 (footnotes omitted).
The evidence pertaining to contract renewals suggests an even smaller number of black persons affected:
Finally, with respect to renewals; there is no evidence of any black faculty member other than Dr. Scott who has not had his contract renewed. Indeed, no faculty member other than Dr. Scott is identified in the record as one claiming to be a victim of any racial discrimination in renewal, promotion or tenure at the University.
Id. at 1132.
In view of the district court’s findings, we must conclude, on the facts of this case, that the numerosity requirement for class certification was not satisfied with respect to the faculty subclass. Scott has not identified a single past or present faculty member, other than himself, who was arguably discriminated against by the University’s contract renewal, promotion, and tenure practices. Moreover, the number of black faculty members at the University who may have been subject to such discrimination is not so large as to make joinder impracticable. See Kelley v. Norfolk and Western Railway Co., 584 F.2d 34 (4th Cir. 1978). Furthermore, no suggestion has been made that any past or current members of the faculty who may feel that they have been discriminated against are in any way disabled from maintaining an antidiscrimination action on their own behalf.
Against this background concerning past and current faculty members, we do not think the mere allegation that future faculty members may be discriminated against is sufficient to satisfy the numerosity requirement. The class of future faculty members is simply ephemeral on the facts of this case — it is constructed on the hypothesis that the University will hire blacks for faculty positions and then discriminate against them by refusing to renew employment contracts or by denying promotion or tenure solely on the basis of race. Scott has introduced no evidence which would support this hypothesis. In such a circumstance, we do not think that future faculty members, whose possible claims are only speculative and can only be formulated in a highly abstract and conclusory fashion, should provide, and possibly be prejudiced by, membership in the class which Scott seeks to represent. For these reasons, we hold that the numerosity requirement of Rule 23(a) was not satisfied with respect to the faculty subclass, and that this subclass should have been decertified when this circumstance became apparent.
IV. CONCLUSION.
The final judgment of the district court dated August 16,1978 provided that “judgment is entered for the defendants and against the plaintiff.”
We will affirm so much of that final judgment entered in favor of the defendants as pertains to Scott’s individual disparate treatment claims.
Because we have concluded that the district court erred in refusing to decertify Scott’s class action, we will vacate so much of the final judgment as pertains to the class action. In accordance therewith, we will remand to the district court with instructions that an order be entered decerti-fying the class action and dismissing without prejudice all of the class action claims asserted by Scott, thereby disposing of all claims presented in this action.
. While there may be cases, such as this one, in which it is “just under the circumstances”, 28 U.S.C. § 2106, to adjure the requirement of a cross-appeal, we are not convinced that Judge Adams’ analysis in his concurring opinion is a salutary one for all cases. His analysis would in all cases dilute the benefits of a cross-appeal requirement — adequate notice and a sharp framing of the issues on appeal — even though it is the appellee who controls the strategic decision of whether to challenge the class certification on appeal, as it did here.