Kodak Black to Defend Doctoral Dissertation on Erdős Problems and Orientalism

Pompano Beach, Florida — Rapper Kodak Black is reportedly scheduled to defend a doctoral dissertation examining the continuing relevance of unresolved Erdős problems in mathematics alongside a parallel critique of Orientalism, university officials announced Monday, stunning both the mathematics department and several professors who had previously assumed he was simply hanging around campus.

The dissertation’s title was circulated to the committee on Monday afternoon. The Division reproduces it as filed.

The dissertation reportedly spans 487 pages. Its central argument remains unclear. Faculty members agree, however, that Chapter 6 goes unbelievably hard.

Our Research Division has obtained the dissertation, its five appendices, the calendar invitation that announced the defense, the e-mail exchange between the mathematics department and the graduate school, the transcript of the candidate’s preliminary seminar, the audio of the three-hour oral examination, the whiteboard photographed at its midpoint, the committee’s deliberation as recorded by a graduate student with his ear against the door, the term-frequency analysis prepared by the graduate school’s formatting office, both drafts of the bibliography, and the candidate’s limitations section, which several doctoral students in the program have described as a personal attack. The Division presents its findings below and states its principal conclusion first, because the file is unusual in one respect: nearly every person in it who encountered the dissertation performed, on first contact, the exact operation the dissertation is about.

The defense is being covered elsewhere as a celebrity curiosity. The Division’s file supports a narrower reading. The dissertation’s subject is a transaction that occurs whenever a discipline decides what is worth studying: someone defines the object, the discipline cites the definer, and the object itself — the problem, the region, the people — is entered into the record under the definer’s name, having not been consulted. In mathematics, the file’s example is a family of open problems indexed by the man who asked them. In the humanities, it is a continent indexed by the scholars who described it. The dissertation’s claim is that the academy keeps exactly one ledger, the citation, and that the ledger records who did the defining and has no column for what was defined. The Division has tested this claim against the file and reports that the first entry made in it, forty-eight hours before anyone opened the dissertation, was the department’s classification of its author.

The Division’s reconciliation of the three accounts involved in the definition of a single object of study is attached for the record:

The Division also notes, at the outset, that the candidate’s bibliography contains one defective citation, that the committee was right to insist on its correction, and that the defect is the most informative line in the file.

CLASSIFICATION: ACADEMIC GOVERNANCE — PROBLEM SELECTION, EPISTEMIC AUTHORITY, AND THE QUESTION OF WHO GETS CITED FOR DEFINING THE OBJECT
DISTRIBUTION: Dissertation Committees, Graduate Deans, Number Theorists, Postcolonial Scholars, Reference Librarians, Formatting Offices, Anyone Who Has Been Told a Problem Is Important Because of Who Asked It
PREPARED BY: The Externality Research Division
DATE: October 2026

Mathematics Department Initially Assumes Administrative Error

The confusion began when professors received a calendar invitation. The Division reproduces it as delivered to the department’s shared calendar.

A mathematics professor immediately emailed the graduate school. The Division reproduces the exchange in full, because its length is the finding.

“Is this correct?”

“Yes.”

“Kodak Black?”

“Yes.”

“The rapper?”

“Yes.”

There was a long pause. The e-mail server records it at fourteen minutes. The professor then asked the only question in the exchange that was about mathematics.

“What’s his Erdős number?”

The administrator’s reply arrived in under a minute.

“That’s actually addressed in Appendix D.”

The professor slowly closed his laptop. A colleague in the adjacent office reports that the next sentence was audible through the wall.

“OH THIS MOTHERFUCKER CAME PREPARED.”

The Division has read Appendix D. It runs eleven pages and does not state a number. It observes that the Erdős number measures a researcher’s distance, through co-authorship, from one specific person; that it is the only metric in mathematics whose unit is a man; that it is universally understood to be a joke; and that the joke is taken seriously enough to be the first question a department asks about an unfamiliar candidate. The appendix concludes that the number is therefore not a measure of proximity to the problems but of proximity to the definer, and refers the reader to Chapter 8. The professor had asked the question as a test of whether the candidate belonged. The candidate had filed the question, in advance, as an exhibit of how belonging is tested. The Division notes that the professor was not wrong to ask, and that the appendix does not say he was. It says only that he would.

The Division records, for the ledger, the department’s sequence of operations on receiving the invitation: it identified the author, classified the author, queried the author’s standing in the citation graph, and then, forty-eight hours later, opened the document. The dissertation is 487 pages about this sequence. The department ran it in four e-mails.

Dissertation Begins With Unresolved Mathematics

The opening chapters examine a selection of problems associated with the mathematician Paul Erdős and the broader significance of mathematical problems that remain open despite decades of serious work. The selection is conventional: problems in combinatorics and number theory that can be stated in a sentence, carry a cash prize from the setter’s own pocket, and have been attempted by, in the dissertation’s phrase, “everybody who ever thought they had a weekend.”

The dissertation reportedly argues that an unresolved problem is not intellectually worthless merely because it has resisted solution. Chapter 2 develops the argument over forty pages and then compresses it, in the passage the committee would spend the most time on, to one sentence.

“The problem don’t owe you an answer just because you pulled up.”

Committee members reportedly spent 45 minutes arguing over whether this was rigorous enough to remain in the final draft. The Division has reviewed the recording of those 45 minutes and notes that at no point during them did any member of the committee dispute the sentence. The debate concerned its register. The mathematics department ultimately approved it after one professor admitted:

“I mean, technically he’s right.”

The Division files the 45 minutes as the first demonstration in the record of the dissertation’s eleventh chapter, which it will come to, and which argues that institutions confuse formal presentation with substance. The committee spent three quarters of an hour on the form of a sentence whose substance it accepted in six words. The Division does not regard this as a failing of the committee. It regards it as the data.

The sentence is also, in the Division’s reading, the precise content of Chapter 2. The chapter’s table of the sources commonly cited for a problem’s importance is reproduced below.

The Division has checked the table against its own archive of mathematical press coverage and finds the ordering accurate. An open problem is the one asset in the academy that appreciates by not being sold. Every failed attempt raises its price; every decade adds to its provenance; and the valuation, when stated, is stated in the terms of items one through four, which are all facts about the people who have handled the problem and none of which the problem supplied. The problem supplied item six. Item six is cited least. The problem, as the candidate observes, does not owe anyone an answer; the Division adds that it has also never been asked what it is worth.

Kodak Rejects Prestige-Based Mathematics

During a preliminary seminar, Kodak reportedly challenged researchers who described certain problems as important primarily because famous mathematicians had worked on them. The Division reproduces the exchange from the seminar transcript.

“So why the problem important?”

“Because Erdős considered it important.”

“Nah.”

Silence.

“Tell me why the problem important.”

The professor began again.

“Well, Erdős—”

“YOU SAID THAT SHIT ALREADY.”

Witnesses said the room became extremely uncomfortable. A doctoral student in the back reportedly whispered:

“He’s cooking him.”

The Division has traced the professor’s answer to its termination. Asked why the problem is important, the discipline answers that Erdős considered it so. Asked why Erdős considered it so, the literature answers that it connects to other problems Erdős considered important. Asked why those were important, the chain arrives, after a finite number of steps, at a person rather than a theorem. The Division wishes to be fair to the professor: there exist, for most of the problems in the dissertation, long answers to the candidate’s question, concerning structure, consequence, and what a solution would illuminate, and the dissertation’s own Chapter 3 gives several of them. The candidate’s objection is not that the long answer does not exist. It is that the short answer has replaced it in daily use, that the short answer is a citation, and that the professor, asked twice, reached for the citation twice. The Division records that the professor was not cooked for holding a wrong view. He was cooked for holding a reference where a view should have been.

Committee Attempts to Corner Him With Technical Question

Later in the seminar, a combinatorialist approached the board. The Division notes that he carried chalk, which in the recording can be heard, and which the Division regards as the sound of a discipline preparing to be specific.

“Suppose we accept your characterization. What makes the Erdős problem family particularly useful as an epistemological object?”

Kodak leaned backward.

“Because some of them look easy.”

“Continue.”

“Then you try that shit.”

Pause.

“And?”

“It ain’t easy.”

The professor lowered his chalk.

“Fair.”

The Division has examined the answer and finds it complete. The epistemological value of a problem that looks easy and is not lies in the gap, which is a measurement: it records the distance between what a discipline believes it understands and what it does. A problem that looks hard and is hard teaches nothing about the discipline; it is simply hard. A problem that can be explained to a child, has been attempted by every working combinatorialist for sixty years, and remains open is a reading on an instrument, and the instrument is pointed at the field. The dissertation’s Chapter 4 makes this argument across thirty pages with reference to the literature on mathematical intuition. The candidate made it in eleven words, and the professor, who had come to the board to make him be precise, found that he had been.

The Division notes for the record that the chalk was not used.

Humanities Department Arrives

The dissertation then makes what faculty described as an unexpected fucking turn. The Division reproduces the heading at which it occurs.

The next 170 pages examine Orientalism and the construction of an imagined “East” through Western scholarly, literary, political, and cultural representation. The treatment follows Said’s 1978 study closely, extends it through the subsequent four decades of response and critique, and is, in the assessment of the postcolonial scholar on the committee, “a competent survey that I would have accepted from anyone, which I am now realizing is the point.”

A mathematics professor reviewing the dissertation reportedly reached the section at approximately 1:30 a.m. His marginal note at the top of page 219 is reproduced in full.

“What the fuck?”

He checked the table of contents. The Division reproduces the portion he read.

The professor’s second marginal note, beneath the entry for Chapter 10, is also reproduced.

“Okay, now I’m interested.”

The Division has read Chapter 6. It concurs with the faculty. It has drafted four summaries of the chapter for this report and withdrawn all four, each having been found, on review, to be weaker than the chapter, which the Division eventually recognized as the chapter’s argument and stopped. It will say only that the chapter concerns what a problem looks like from the inside, before anyone has named it, and that the committee’s request to withhold the title pending journal submission was made by the number theorist, who the Division understands intends to be second author.

The Division also records that the 1:30 a.m. professor’s two marginal notes, taken in sequence, are a complete reading of Part II. Chapter 8 argues that a body of scholarship can produce an object — an “East,” a “problem family” — that feels authoritative to the people inside the scholarship and bears an unexamined relationship to the thing outside it. Chapter 9 argues that the map, once sufficiently detailed and sufficiently cited, is mistaken for the territory by the people who drew it. Chapter 10 argues that the territory did not consent to the map. The professor, meeting these claims in the table of contents, first rejected them as out of place and then, within one line, found them interesting. The Division notes that he did not change his mind about the claims. He had not read them yet. He changed his mind about whether they belonged, which is Chapter 8.

Kodak Explains the Connection

The central interdisciplinary argument reportedly asks whether intellectual communities sometimes mistake their representation of a subject for the subject itself.

In mathematics, the dissertation examines how prestige, famous problem-setters, prizes, publication patterns, and disciplinary attention can influence which unanswered questions become culturally important. In the Orientalism section, it examines how systems of representation can create an intellectual object that appears authoritative while remaining entangled with the perspective and power of the observer. The Division notes that these two sentences, which summarize some 380 pages, are structurally identical, and that the dissertation’s eleventh chapter observes this before the Division did.

During his defense, a professor challenged the comparison.

“You’re not suggesting an unresolved combinatorics problem and Orientalism are equivalent phenomena?”

“No.”

Several professors relaxed. The recording captures the sound of at least two chairs. Kodak continued.

“I’m saying watch who gets to frame the question.”

Silence. A humanities professor slowly removed her glasses.

“LET HIM COOK.”

The Division adopts the candidate’s sentence as the file’s principal finding and has nothing to add to it except a count. In the course of this file, the question of what the dissertation was about was framed, in order, by a calendar invitation, a department’s e-mail, a professor at 1:30 a.m., a committee debating a sentence’s register, and a room full of graduate students who had not read it. The candidate framed it once, at the board, in nine words. The Division has watched who got to frame the question. It was everyone else first.

Committee Warns Against False Equivalence

The dissertation explicitly warns that its parallel treatment is not intended to collapse mathematics and colonial discourse into the same category. The warning occupies the whole of section 11.2, is repeated in the limitations, and is, the Division notes, the fourth of the dissertation’s five central arguments rather than a caveat to them. A committee member praised the distinction.

“Good. Because that would be indefensible.”

“I know.”

“Then why put them together?”

Kodak walked toward the board. The Division reproduces the whiteboard as photographed by the committee’s secretary at the conclusion of the exchange.

He put down the marker.

“That’s the bridge.”

The committee stopped smiling.

The Division has studied the board and regards the third line as the dissertation. The first two lines are questions. The third is where the academy writes down the answers, and the Division’s observation, which is the candidate’s, is that the academy keeps no other record. A citation names the definer. It names the journal, the year, and the page. It does not name the problem, which is identified by the definer’s surname and a number, and it does not name the subject, which is identified by the definer’s account of it. In both disciplines the ledger is the same instrument, it is pointed the same way, and the party it is nominally about has no entry in it. That is the structural claim, and the Division finds it does not require the two phenomena to be equivalent, morally or otherwise. It requires them to share a bookkeeping system. The Division’s diagram of the two accounts is reproduced below.

The Division notes the one asymmetry the figure does not show and the dissertation does: in the left column, the party at the bottom is a mathematical object, which cannot be harmed by its name; in the right column, it is several hundred million people, who can. Section 11.2 states this on its first page and the Division regards it as the reason the candidate answered “No” without hesitation. The bookkeeping is shared. The consequences are not, and the candidate’s refusal to pretend otherwise is, in the Division’s reading, the most rigorous thing in the room, including the chalk.

Graduate Students Become Deeply Annoyed

Several doctoral students reportedly became furious after discovering the dissertation contained an actual literature review. The Division reproduces a conversation recorded in the department lounge.

“I thought this was gonna be some celebrity honorary-degree bullshit.”

“Nah.”

“He has citations?”

“412.”

“Primary sources?”

“Yeah.”

The student flipped through the bibliography.

“SON OF A BITCH.”

Another student became visibly upset after discovering Kodak had included a limitations section.

“HE HAS FUCKING LIMITATIONS?”

The Division has obtained the limitations section and reproduces its opening entries.

The Division regards the students’ anger as the file’s cleanest instance of its subject. The students had priced the dissertation on the basis of its author, had arrived at a valuation of zero, and were being asked, by a bibliography, to settle the difference. Their fury was not at the citations. It was at the discovery that they had done, to the document, what the document says disciplines do to their objects, and that the document had predicted it, in section 11.6, briefly, because it is not interesting.

The Division also notes entry 12.4.4, which it regards as the only sentence in the file that every mathematician who has worked on the Erdős problems could sign.

Dissertation Committee Finds One Serious Problem

Faculty eventually identified a citation, in the first draft of the bibliography, reading as follows.

The committee chair raised it at the defense.

“You cannot submit this.”

“Why?”

“That’s not a citation.”

“You know which paper I’m talking about.”

“I absolutely do not.”

“Prime one.”

“THERE ARE A LOT OF FUCKING PRIME ONES.”

The defense was paused for 17 minutes while the reference was corrected. The Division has confirmed that the chair’s statement is accurate. Erdős published roughly 1,500 papers in his lifetime, a substantial share of them on the distribution of primes, and the reference librarian summoned to the room reports that the candidate’s description narrowed the field to “several hundred.” A candidate paper was identified from the surrounding paragraph, the entry was corrected, and the defense resumed.

The Division agrees with the committee that the entry could not stand. It records one observation about it nonetheless. The standard form of a citation — surname, initial, year, journal, volume, pages — identifies a paper by who wrote it and where it was placed. It is, in other words, a ledger entry, and it contains no information about what the paper says. The candidate’s entry contained no information about who placed it where. It contained only what the paper was about, which is the one field the standard form omits, and which the librarian could not search. The Division does not propose the candidate’s format for adoption. It notes that the defense’s only crisis was a citation that named the content and not the definer, that the institution could not process it, and that the dissertation is about this.

Kodak Introduces the Yak Thesis

The dissertation’s most controversial chapter argues that intellectual institutions frequently confuse formal presentation with intellectual substance: that the register of a claim, the standing of its author, and the apparatus around it are read as evidence for the claim, and that the discipline cannot easily tell when it is doing this because the confusion is performed by the same faculty that would detect it. Kodak calls this:

The precise origin of the name is not explained in the chapter. A professor asked.

“Why Yak?”

“That’s what they call me.”

“That does not explain the thesis.”

“You asked why Yak.”

The professor conceded the point.

The Division observes that the thesis is named by the only method consistent with it. The name tells the reader nothing about the content, which is the standard practice of the discipline — the Erdős problems are not named for what they ask, and the professor had not objected to that — and the professor’s request that the name do more work than names do was, in miniature, the confusion the chapter describes. He asked a question about presentation and received an accurate answer about presentation, then objected that it was not an answer about substance. The candidate’s reply located the error in the question. The Division notes that this is the second time in the file a professor conceded a point he had raised in order to be precise.

The Division further notes that the Yak Thesis, whatever the merits of its name, is the single hypothesis under which every event in this file is explained: the assumption of administrative error, the fourteen-minute pause, the 45-minute debate on register, the 1:30 a.m. marginalia, the graduate students’ fury, and the formatting office’s objection, which follows.

Erdős Appears 614 Times

The graduate school’s formatting office, which reviews every dissertation for compliance with the style manual, prepared a term-frequency analysis of the submitted draft. The Division reproduces it.

Graduate school formatting staff objected to the final figure. Kodak reduced it to 39. His adviser called the revision:

“a significant improvement in scholarly restraint.”

The Division’s chart of the formatting office’s figures, with the revision indicated, is reproduced below.

The Division notes that the only term on the chart that was reduced is the only one the formatting office could see. The remaining ratio stood. The word combinatorics appears 121 times in a dissertation whose first field is combinatorics; the surname of the man who posed its problems appears 614 times, five to one. The dissertation argues that the definer has come to stand in for the defined, and the formatting office’s own table is, as the candidate concedes in limitation 12.4.5, the clearest evidence for the claim and the clearest evidence that the candidate is inside it. The Division regards a dissertation that enters its own term-frequency table against itself as unusually well defended, and notes that nobody in the formatting office raised the ratio, having been assigned to count a different word.

The Division has compared the two drafts. All seven removed occurrences were in Chapter 6. The committee’s view that Chapter 6 goes unbelievably hard was recorded after the reduction. The Division has read both versions and declines, as above, to summarize either, but reports that the adviser’s assessment is correct in the narrow sense that the chapter now goes unbelievably hard with restraint.

Committee Reaches the Oral Examination

The oral examination’s central question was put by the committee chair in the second hour.

“Mr. Kapri, what would falsify your central argument?”

The room became silent. Kodak thought for several seconds.

“Which one?”

The chair looked down. There were apparently five. The Division reproduces them from the dissertation’s first chapter.

“The third.”

Kodak turned to page 302. The committee leaned forward.

For the next 28 minutes, the rapper reportedly discussed disciplinary prestige, problem selection, representation, epistemic authority, and the danger of treating historically contingent scholarly categories as though they simply emerged from nature. The Division has reviewed the 28 minutes and summarizes the falsification condition as stated. The third argument would fail, the candidate said, if the problems a discipline works on hardest could be shown to track their mathematical consequences more closely than they track the standing of the person who posed them — if, holding content fixed, the name on the problem made no difference to the attention it received. He described the data he had been able to assemble on the question, described what it suggested, and then described, at length and unprompted, why it was not enough to settle the matter, referring the committee to the limitations. The Division notes that the candidate spent roughly nine of the 28 minutes arguing against his own evidence, and that this is, by the Division’s count, the only portion of the defense during which no member of the committee took notes, all of them having stopped to listen.

When he finished, nobody spoke. Finally, the number theorist asked:

“And how does this return us to Erdős?”

Kodak looked genuinely confused.

“BIG DAWG, WE NEVER LEFT.”

The Division concurs. The 28 minutes concerned which problems a discipline chooses to call important and on what basis, which is the question the Erdős problems were introduced in Chapter 2 to pose. The number theorist’s question assumed that a discussion of representation and epistemic authority was a departure from mathematics to which the candidate would need to be returned. The candidate’s answer was that the discussion had been about mathematics for 28 minutes and that the departure was in the question. The Division notes that this is the third such concession in the file and that it was, on this occasion, made in silence.

Committee Deliberates

Kodak was asked to leave the room. The committee immediately began arguing. The Division reproduces the deliberation as recorded by a graduate student with his ear against the door, a method the Division does not endorse and whose transcript it has verified against the committee’s own minutes.

“The interdisciplinary bridge is unconventional.”

“But explicit.”

“Some mathematical sections need revision.”

“Some humanities sections need revision.”

“That’s what revisions are for.”

Another professor spoke.

“Can we discuss Chapter 6?”

Everyone became quiet.

“Chapter 6 is fucking excellent.”

Unanimous agreement.

The Division notes that the deliberation, in six lines, reproduced the dissertation’s structure: two halves, each judged by its own discipline to need revision, joined by a bridge that each discipline regards as unconventional and both concede is explicit. It notes further that the committee’s only unanimous finding concerned the chapter whose title it had agreed to withhold, so that the one thing the committee certified without qualification is the one thing the record does not name. The Division has decided that this is appropriate and has stopped trying to decide whether it is a joke.

Kodak Returns

The door opened. Kodak walked inside. The committee chair stood.

“Mr. Kapri, the committee has reached a decision.”

Kodak nodded.

“Subject to revisions—”

A graduate student outside pressed his ear against the door.

“—we are prepared to accept the dissertation.”

Kodak nodded again. No celebration. No dramatic speech. He simply gathered his papers. A professor appeared surprised.

“That’s it?”

Kodak looked at him.

“What you want me to do?”

“You’ve just defended a doctoral dissertation connecting Erdős problems with a critique of Orientalism.”

Kodak put the dissertation into his backpack.

“YEAH. I KNOW. I WAS HERE.”

The Division pauses on the exchange. The professor’s surprise was that the candidate did not perform the occasion — that a result of this kind arrived without the presentation the institution expects to accompany it. The candidate’s reply noted that the result and its author had been in the room for three hours and that the presentation would have added nothing to either. The Division files this as the Yak Thesis stated from the other side: the professor was waiting for the form, having already received the substance, and did not notice that he had.

He walked toward the door. The committee chair called after him.

“You still need to correct that prime-number citation.”

The Division has established that the 17-minute correction earlier in the defense addressed bibliography entry 212, and that the revisions list prepared by the committee during deliberation identified a second instance of the same form at entry 388, in a footnote to Chapter 10, which the librarian had not been asked to look at.

Kodak stopped. Turned around.

“Damn.”

He pulled the dissertation back out.

“WHICH MOTHERFUCKING PRIME PAPER WAS IT?”

The Division files the final exchange as the file’s complete diagram. The committee accepted a 487-page argument about who gets cited for defining the object, subject to revisions, and the one revision named aloud as the candidate reached the door was that the definer be correctly cited. The institution did not ask him to change a claim. It had accepted the claims. It asked him to repair the ledger, because the ledger is what the institution can check, and the Division wishes to be clear that the institution was right to ask: the citation is defective and must be fixed. The Division notes only that the candidate’s final question, read strictly, is the dissertation’s research question — which of the several hundred prime papers is the one, and by what means other than the author’s name would anyone know — and that the chair’s earlier answer, that there are a lot of fucking prime ones, is both true and the problem.

Closing Statement

At press time, the revisions were due in sixty days, Chapter 6 had been submitted to a journal under a title the Division has seen and will not print, and the online database of Erdős problems had reported a traffic increase its maintainer attributed, with visible reluctance, to “the obvious.” The 1:30 a.m. professor was observed in the humanities library with a copy of Orientalism and declined to be interviewed on the grounds that he was “only on page 40.” The graduate students who had objected to the literature review have formed a reading group, which the Division understands is working through the bibliography in order and has reached entry 211. The humanities professor who removed her glasses has been asked by four separate colleagues what the phrase she used means, and has told each of them, correctly, that it means what it says.