Could AI Help Mathematics Escape the Meritocracy Trap?

Anonymous mathematician in the United States

Much of the discussion about AI and mathematics concerns what we might lose: understanding, creativity, professional identity, or employment. These concerns deserve attention. But I also see a possible opportunity to challenge a system in which opportunities to do mathematics remain deeply unequal.

Daniel Markovits’s The Meritocracy Trap, published in 2019, provides a useful starting point. Written only a few years before conversational generative AI became widely available, it describes a system whose mechanisms these new tools might give us an opportunity to change.

Markovits argues that affluent families invest heavily in their children’s education, enabling them to acquire the skills and credentials rewarded by elite employment. The resulting income then finances exceptional educational opportunities for the next generation. This cycle reproduces inequality through achievement itself. Even its apparent winners become trapped in relentless work and competition to maintain their position. He explains this argument in a Yale Insights interview.

What I find especially important is that the acquired skills can be real. Unequal access can produce genuine differences in accomplishment. Calling the final competition meritocratic does not resolve the inequality in how people became equipped to compete.

I see a related problem in mathematics, although academic careers do not map neatly onto the wealthy professions Markovits discusses.

Consider two graduate students. One joins an active group in a fashionable area, with a prominent adviser, frequent visitors, knowledgeable peers, and good funding. Someone nearby can suggest a promising problem, explain an unfamiliar technique, notice a connection, or introduce a future collaborator.

Another works on a respectable but less fashionable problem, with fewer resources and fewer people interested in the outcome. They may develop substantial understanding and produce thoughtful, technically sound doctoral work, yet emerge with a thinner publication record and fewer advocates. They then struggle for temporary positions while worrying about their family and future.

Neither outcome is predetermined. But when the resulting CVs are compared, how much of that difference in opportunity do we acknowledge? How much do we simply call “merit”?

This is where I see AI as a possible opening.

My thinking was partly inspired by Terry Tao’s discussion of the history of computation. In Machine assisted proofs (January 3, 2024), pp. 3–6, he describes human computers constructing mathematical tables and performing scientific calculations, before turning to modern computer algebra systems.

That history suggests a broader pattern. Printing and mass education widened access to recorded knowledge. Calculators and computers made powerful computational capabilities widely available. The Internet lowered barriers to finding specialized information and communicating ideas. AI may extend this process to intellectual assistance itself.

A paper can be freely available yet remain practically inaccessible to someone without the necessary background or someone to ask. AI can help unpack an argument, supply prerequisites, generate examples, and suggest connections. Its answers require checking, but access to that conversation is valuable.

There is a social dimension, too. Some people will recognize the experience of asking a question online and being dismissed for using the wrong terminology or failing to formulate it properly. Having somewhere to ask elementary questions repeatedly, without embarrassment, can change what one is willing to learn. So can having assistance available outside the limited time an adviser or colleague can offer.

AI will not supply research funding, job security, or the judgment of an excellent mentor. But it may make some forms of intellectual support less dependent on admission to a privileged academic environment. That is the possibility I want us to take seriously.

What AI could redistribute is the ability to turn curiosity into work that others can evaluate; whether that work receives fair recognition remains an institutional question.

It could also unsettle the measures through which mathematical careers are ranked. If producing certain kinds of publishable results becomes substantially easier, publication counts will become weaker evidence of intellectual depth. I would welcome the opportunity to reconsider “publish or perish,” including its tendency to reward visible output while overlooking patient teaching, explanation, verification, and work whose value is not immediately fashionable.

But weakened measures do not guarantee fairer institutions. Committees could respond by relying even more on pedigree and recommendations. Better-funded groups could use more powerful AI systems to increase their advantage. Departments could raise publication expectations until everyone is running faster merely to remain in place. That would reproduce the trap.

The opportunity, then, requires choices: broad access to useful tools, support for learning how to question their outputs, and evaluation that does not convert every gain in productivity into a higher threshold for employment. Greater mathematical capability should make room for more people to participate and for more sustainable working lives.

I am extending Markovits’s critique here, rather than attributing this proposal about AI to him. His analysis helps explain why changing the tools alone will not suffice. It also helps clarify what a worthwhile change could accomplish.

I hope for a mathematical culture in which the opportunity to develop understanding depends less on institutional pedigree, professional connections, and financial security—and in which people need not continually prove their worth by producing more papers.

AI offers no guarantee of that world. But it may give us an opportunity to build it.

AI-use disclosure: I developed this post through a conversation with ChatGPT, using it to explore and organize the argument and to draft and revise the prose.


Received 16 September 2026

21 responses to “Could AI Help Mathematics Escape the Meritocracy Trap?”

  1. Sirawit Pongnakintr Avatar

    This is precisely my main reason in standing my ground on supporting AI-assisted mathematics.

    I always have hated this meritocracy in (the social aspects of) mathematics. I always have hated how I was gatekept from the frontiers of mathematics just because “I’m not good enough” or “I don’t have enough research potential”. And this is why when I see famous mathematicians frown upon the recent AI advancements, I personally thought: “Good! They deserved it!”. Mathematics used to be the game of rich people. And then it’s now the game of smart people.

    I reject both. Mathematics belong to ALL people. Stupid people like me deserve the chance and opportunity to do mathematics. How? AI will be my savior that makes “publications count” absurd. AI will be the one that makes “raw IQ gatekeeping” absurd. And so on. And I think everyone can see why I’m willing to die on this hill. Because I have nothing else to lose. I am willing to give my money, my time, my effort, my sweat, my tears, and my blood, to mathematics, and they will still reject me in admissions just because “[I] have no paper” or “[I] have bad grades” or something like that.

    Let them. The AI revolution is the French revolution of the IQ gatekeepers. I will be stupid, and I will be rejected, and that’s fine, because AI is next to me, and I can learn whatever mathematics I want, research whatever topic I want, and collaborate with AI, for an extremely cheap price of $100/month (compared to, say, paying absurd tuition fees to universities, etc.).

    The meritocrats can keep trying to gatekeep prestige and so on, and I hope they will not be able to do so for long. When the upcoming internal model is released to the public, our freedom will come. If everyone can have enough computing power to “go and solve Millennium Prize Problems on their own” with extremely cheap price, mathematics will be truly liberated.

    1. Anon Avatar
      Anon

      Ah yes, surely the real path towards democratisation of science is handing full control over the means of production to a handful of trillion-dollar companies. It’s so much easier and more globally accessible to pay a thousand dollars a year for a good AI subscription than to sit with pencil and paper and arXiv access for free. And we all know that tech companies would never start out with a horrifically unprofitable yet useful service to acquire a captive audience before relentlessly raising prices and enshittifying. That’s *never* happened before. Except for Google. And Youtube. And Broadcom. And Facebook, and Twitch, and Reddit, and Microsoft, and every single major tech company in the Internet age except Valve (which doesn’t have shareholders to report to).

      But hey, you get to write a prompt saying “hey go solve the Riemann hypothesis for me lol” and feel like you’ve contributed something, so it’s all good, I guess!

      1. Sirawit Pongnakintr Avatar

        Yes! The point is not “boycott AI”, but is rather “demand for an open release of AI”, or, if protesting is not possible, just build an open AI (not OpenAI, which is closed) on our own! I’d even suggest mathematicians around the world to do some self-funding, buy the computes, and engineer a mathematically specialized LLM (and even race with OpenAI). We don’t need to rely the whole future of us to “trillion-dollar companies”. If they can do it, why can’t we? The Transformer architecture is there. The decoder-only self-attention blueprint is there. And there are currently also a lot of open foundation models out there in public!

        TL;DR: You can oppose the closed AI companies (which I agree in this point; but I’m currently not very convinced that they will enshittify or raise price in an absurd fashion any time soon), but I don’t see the point of opposing the AI technology itself!

        1. Anon Avatar
          Anon

          I mean, there are definitely initiatives out there desperately trying to pull together a researcher-owned alternative, but the 8+ figure training cost to get something workable feels like an obvious answer to “why can’t we?”. (Yes, we can and should try to get e.g. EU funding, but this isn’t something we can deal with by just rolling our sleeves up and pulling ourselves up by our bootstraps, and I’m pessimistic about it happening.)

          Personally as a working mathematician I’m very strongly against the actual AI companies, very strongly against the way AI is trained (especially in the arts where it’s basically legalised theft), very strongly against giving up on human understanding, and very concerned about how to keep various important bits of mathematical infrastructure alive through a very rocky transition period*. But given that AI does exist and we can’t change this fact, I’m not at all against using it for research, I do think the frontier of human knowledge has separated from the frontier of human understanding and our job as researchers is to push the latter, and going by the 100 responses I think most others feel the same way.

          That said, I don’t think there’s a tremendous difference in what’s possible as an amateur mathematician with AI versus what’s possible as an amateur mathematician in the before times.

          From an understanding perspective, I have used frontier AI to learn things, when textbooks weren’t available or I had a focused question or specific task, and my experience is that it’s very very bad on the “fuzzy” questions like “why is [xyz] important” or “what’s the key proof technique”. Many times, if I’d trusted it on these questions, I would have been badly led astray. And these are exactly the sorts of questions that access to a PhD supervisor or a friendly research group would be most useful for. For everything else, in my experience learning from textbooks and papers gives you a much better long-term result – they’re worse at answering highly specific questions, but much better at giving a broad overview. The best way to use AI to learn is to clear up specific questions you have when you’re reading something else, and only then after you’ve thought about it for a few minutes yourself.

          From a research perspective, it’s true that you can use AI to prove results as a non-mathematician. But from my own experience using frontier AIs in research, properly linking those results back to what’s gone before – advancing human understanding, not just knowledge – is more or less impossible unless you already had a good enough understanding of the discipline to write a paper in it. Maybe not that specific paper on that specific result, sure, but the point is that AI by itself won’t let you push the frontier of human understanding unless you were already capable of doing that. It makes some things easier, but it’s not a seismic force shattering the old orthodoxy. (It shatters a lot of other old orthodoxies, but not that one.)

          From a publishing perspective, the reason the gatekeeping exists in the first place is that there’s an ocean of (P=NP)-style cranks out there putting out reams of material that’s not worth anyone’s time to read. Peer-reviewed journals (and to a lesser extent arXiv’s policies) act as a quasi-official seal of Probably Not Complete Bullshit which is necessary to avoid the noise drowning out the signal. I don’t know if existing journal models will survive this – frankly, I hope they don’t and we move to arXiv overlays or similar – but the cranks are certainly not going to go away and are more likely going to increase. So every problem you have with gatekeeping in arXiv and journals is more likely to get worse than better.

          And from a prestige perspective, 99% of professional mathematicians get no prestige either. I’ve never talked to a journalist, and I probably never will. We get paid partially to do maths for a living, and partially to teach maths for a living, and that’s the reward. The median reaction when you tell a non-mathematician that you’re a mathematician is “wow you’re so cool”, it’s “oh, I was always bad at maths, hang on I think I forgot to wash my goldfish I’ll be right back”. Unless you’re in the top 1% of your field, you’d get a lot more prestige by becoming a quant for 10-100 times the pay. I don’t know a single person in my field motivated by prestige, and for the one person I know who has it, I sincerely believe it’s more of an annoyance to them than a motivation. (It means they have to spend a lot of time doing things that aren’t maths…)

          * For example, if the PhD-to-lecturer pipeline breaks then a lot of good people’s careers are ruined and we’ve set ourselves up for a major crisis further down the line when all the existing mathematicians start retiring. And avoiding skill atrophy, and the “loss” of good problems we would previously have “mined” for powerful new research techniques, and reorienting our career incentives so that advancing human understanding still broadly rewarded rather than punished, and so on. None of these are insurmountable and all of them would get a lot easier if OpenAI in particular would just stop kicking us while we’re down for five minutes, but they do all need solving. And none of it gets easier when people are arguing shit like “The AI revolution is the French revolution of the IQ gatekeepers”.

    2. Charlie Avatar
      Charlie

      When you do math research in the future, I believe you will review and understand everything in the papers you want to publish. That is how one should properly use AI for math research.
      OpenAI releasing all the unreviewed manuscripts is not doing so.

      1. Sirawit Pongnakintr Avatar

        I commit to this promise. Anything that I submit with my own will as an author, it must have been understood by me first. Otherwise I’ll pause and try to understand it, and if I don’t really understand it (but confidently believe that it’s true) then I’ll request support from my colleagues and the seniors. If I am not even confident in it, then I’m not going to publish, announce, or take the result seriously.
        For OpenAI, I believe they want to “release their working notebook” to the public, perhaps both for transparency and for PR reasons. I do not even take OpenAI’s result as “publications”. It’s more like a work in progress, and more like they’re requesting community support to digest and verify the proofs.

        1. Disillusion Avatar
          Disillusion

          Thinking is doing, and obviously there is no understanding without thinking. Leave all thinking and doing to the machines, and what is left of you?

          The way things are going, in the future no one will understand, because no one’s understanding is needed.

          1. Sirawit Pongnakintr Avatar
            Sirawit Pongnakintr

            I believe you’re spamming. But for the sake of the conversation:

            No. In the future, no one’s understanding is needed. And right now, also no, no one’s understanding should be needed.

            One understands because one wants to. That’s it. What is left of me is my pure free will to try to understand things (perhaps, to understand the slop that machines spit out, and that’s fine).

    3. Disillusion Avatar
      Disillusion

      In reality, you wouldn’t be doing or contributing anything mathematical. None of the mathematical results that the chatbot would land on would be yours. You’d be just another guy doing some data entry into the chatbot.

      1. Sirawit Pongnakintr Avatar

        I’m not interested in contribution. I’m interested in understanding mathematics. If it happens that something I understand becomes new, then perhaps I might share it to the public, and that might count as a contribution. If not, then it’s fine!
        Moreover, mathematical contributions and human understanding of mathematics are two different variables. They might correlate, and historically they might be treated as the same, but I think they will no longer be. Let AI perform the mathematical contributions and whatever. Let humans understand mathematics.

        1. Disillusion Avatar
          Disillusion

          Thinking is doing. Do you believe that understanding can happen without thinking? Leave all thinking and doing to machines, and what is left of you?

          You are not the master of these machines here (would you be, if you could, anyway?). That is the end of your part in this, which you seem to acknowledge. If none of us are masters of them, then that right there is end of us all, no less. No one will understand because no one’s understanding is needed.

          1. Sirawit Pongnakintr Avatar

            Uhh… I’m not sure I understand your point, but ok. I don’t believe understanding can happen without thinking. I also don’t plan to leave all thinking to machines. My process is something like this:
            (1) I want to understand topic X, so I read an introductory book on X.
            (2) If I stumble upon some concept in X that I don’t understand, then:
            (2.1) I try to solve my confusion on my own first. There is no exact time limit, but most of the time if in one hour I still made zero progress then I continue to (2.2). If I made progress, then I continue back to the reading.
            (2.2) I tell AI precisely what I currently understand, what I am currently confusing, and what would [the AI] think is the correct thing. After obtaining the answer, either I made progress and confuse on other things (then I go back to (2)), or I completely understood (then keep reading (1) until something open comes out).
            (3) If I’ve made my reading attempt, and I then encounter some open question which I’m interested in, then:
            (3.1) I think on my own first on which direction I would attack the problem. Then I perform manual attacks on the problem. If in this process some subprocess need a tedious or routine calculation, then I send it over to AI. If not, I keep doing.
            (3.2) If I have a (human) supervisor, I talk to the supervisor, report my progress, and ask for their opinions. If not, I ask AI for opinions on my directions, and see further suggestions.
            (3.3) Either I continue attacking (continue (3.1)), or I encounter a new concept (and then go back to step (1)), or I’m completely stuck. If I’m completely stuck, I’d either talk to the human supervisor (if exists), and AI (if no human is in capacity of advising me), and if I give up, then I pause, put the books and papers aside, and go out for a walk, or switch to other topics. I decide when I come back whether to continue or to do something else.

            In my process, I relied heavily on AI, but I’m also comfortable if my supervisors prohibit me from using AI. Nevertheless, in general, I don’t see AI as stopping me from understanding things. Work can be outsourced. Understanding can never be outsourced. Observe that in step (3), if I truly prioritize contribution, or making publications, then of course, I might want to offload the whole process to AI, but that’s not what I want! Understanding has higher priority than contributing to mathematics, and my process stands on this assumption.

            And even if no one’s understanding is needed or anything, I’d still choose to try to understand. What’s wrong with that? It’s my goal in the first place!

          2. Sirawit Pongnakintr Avatar

            I’ll not copy-paste the answer from AI here, but sure, I think I see better what you’re arguing (and fundamentally disagreeing).

            Nobody asks me to understand mathematics.

            I seek understanding under my free will. No one’s understanding is needed, and people will still want to understand things.

            And you disregarded my “process”, so you won’t understand my point that “thinking” never disappears. Go read that again if you truly want my answer to your first question.

    4. Nilima Nigam Avatar
      Nilima Nigam

      I am trying to understand the argument you make. As you describe it, AI tools liberate mathematics from mathematicians [who as a community have been restrictive/gatekeeping etc.] Is the post-revolutionary ideal, then, a world in which there are no mathematicians?

      What, for you, does this look like?

      If departmental grad programs are (by definition) able to reject candidates, is a desirable goal that there be no grad programs? If some groups of people gang up together to somehow focus more on mathematics (more time, more AI resources, whatever), and keep others out – how does one deal with them?

      If memory serves (I am old, get things wrong sometimes), the French Revolution included Robespierre and his friends as well as the Girondins.

      * Note that I’m taking as an axiom: any group of people that’s not all people, will have a notion of an in-group and an out-group. Membership of the set requires some notion of what \not membership looks like. Perhaps this is not an axiom we agree upon.

      1. Sirawit Pongnakintr Avatar

        My current understanding of grad programs is that they admit candidates in a competitive merit-based basis.

        I oppose this. If the seats are not enough, then create more seats! If there are too many people and we truly ran out of money, then perhaps using a lottery to admit people into grad programs would be fairer than testing their IQs (i.e. something they’re born with and couldn’t change).

        I argue that AI tools make this “counting papers” and “measuring IQs” becoming more and more absurd, and when the time comes and there is nothing left to measure, the society must either admit everyone or use a lottery, which, for me, are the fairest way to go.

        My dream requirement is that the criteria whether “one deserves a position in a group or not” should depends on one’s decisions, efforts, grit, and perseverance, not on innate abilities, money, or something that one has no control of (including IQ, pure raw mathematical ability, and other talents).

        1. Nilima Nigam Avatar
          Nilima Nigam

          Again, without trying to agree or disagree with the vision itself: I don’t understand how assessment of one’s decisions, efforts and perseverance are entirely decoupled from assessing factors one has no control over. This actually is my main question about the essay itself.

          Here is an example of my confusion with the dream you describe. I’m on a grad program committee, and now we evaluate applications by ‘perseverance’. Student A spent 15 years understanding 3 papers. Student B spent 5. Is student A more persevering? Should it matter/not matter that Student A had a family that supported her those 15 years, and Student B did not? The minute we account for the circumstances behind the 15 years/5 years, we’re accounting for some factors outside the students’ control.

          In other words, I think all the criteria you list unfortunately also are, by proxy, measuring [at least somewhat] things the students have no control over.

          As far as the lottery system goes, how would it work? Would I be able to be in a lottery to (say) play music at the Julliard, regardless of any demonstrated prior ability to play music? [This is the truly democratic version in a world where we measure nothing]. Does one say: every human on this planet holds a lottery to enter this grad program. Or: every human that has some prior background in math holds a lottery. [Then you’re screening on prior background, and have just shifted the selection process further backstream.] Equally, since we measure nothing, a PhD should not be conferred (because it certifies something).

          Maybe what you are saying is exactly what I asked about: the post-revolutionary ideal you desire is one in which there are no ‘mathematicians’?

  2. Michael Rozynski Avatar
    Michael Rozynski

    Look up ‘Prothesengott’.

    Sigmund Freud 1930: ‘Das Unbehagen in der Kultur ‘.

    That is not a Happy God.

    1. Michael Rozynski Avatar
      Michael Rozynski

      This was meant as reply to S. P. and not to the original post.
      I forgot to verify the comment with a Lean certificate.

      1. Sirawit Pongnakintr Avatar

        Alright, haha. I’m not seeking happiness. I am seeking the prosthetic that will allow a handicapped person like me to be able to walk like the others. You may argue that “not every disabled person wants to walk”, but I do want to walk. I wish I could fly. I wish I could have wings. But I don’t, so I use airplanes. Perhaps life on the airplane will be miserable or whatever, but that’s another topic to discuss; it doesn’t contradict the fact that I want to be in that state.

  3. Mark Hagen Avatar
    Mark Hagen

    Thinking about AI and math from “inside” math seems myopic given that — precisely because of the absurd self-congratulatory elitist attitudes of many mathematicians about the special intellectual prestige of our subject — the recent OpenAI paper dump isn’t really about math, it’s a shot across the bow of humanity from a mostly unaccountable corporation armed with a weapon it’s advertising for sale to the other corporations as a potent weapon of class war. The mathematics community got everyone believing some (indeed silly) stuff about our hobby being a special intellectual benchmark, so it’s only natural that OpenAI have chosen mathematics as a place to demonstrate and advertise that weapon.

    The actual point of AI is a dramatic reduction in the price of labour power across the board; this is almost freely admitted because it has plenty of precedent in technological history. OpenAI have not created a god or something transhistorical; they have created a machine that radically alters the amount of human labour required to do certain things. Under many historical conditions, technological changes of a high magnitude and pace tend to have some extremely destructive effects on most of the people who live through them, with any broad social advantages only appearing much later and only contingent on collective struggle that is never guaranteed to work (and to which the modern rich-country professional classes are especially poorly adapted, it looks like).

    So AI will indeed have some negative effects on how the professional classes hoard access to social capital, status, etc., as claimed. I’m definitely not going to mourn the death of that sort of aristocratic situation in mathematics and similar pursuits, should that come to pass. For one thing, that aristocratic situation makes for an often unpleasant community situation even in the relatively privileged echelons of academic mathematics much of the time. I like the individual people I know through maths, many of them are my closest friends, I like doing maths and learning it. It’s been a long time since I’ve been impressed with the “community” we’ve got going, though, and if this were just about disrupting those community norms, I’d be all for it.

    But I don’t think that’s a realistic endgame: I think it’s more likely, given the most apt historical comparisons and given the present conjuncture as it is, that AI will sharpen inequalities, not ameliorate them. It will immiserate people more than it will liberate them, is a historically supported safe bet.

    If they are able to be somewhat orderly about it, the rest of capital will probably, through things like some form of governmental regulation, etc. try to discipline the AI companies into letting certain planes land relatively gently, as it were; I think that the most established, and often older, academic mathematicians responding to this situation with excitement and interest seem to understand that their privilege is likely to survive somewhat intact for as long as is relevant for them, because it is not really in the interest of the ruling/owning classes to disenfranchise the most privileged and powerful layer of workers all in one go. *That*, if it happened over the whole of the relatively privileged professional classes, the beneficiaries of the so-called “meritocracy”, would be a real revolutionary situation (maybe).

    But the notion of AI as itself a revolutionary event (in the sense of a rapid reordering of class structures) seems pretty far-fetched to me. If you want to know which social strata are the most likely beneficiaries of an AI-driven restructuring of productive activity, you should look at who’s investing in it, who is propagandising for it, etc. If you want to actually be concerned about who is most likely to suffer, poll people who currently have nothing to do with mathematics research and who will face economic dislocation (to say nothing of numerous other concerns made more acute by the AI “revolution”) whether getting to ask ChatGPT whether the mapping class group has property (T) is on their bucket list.

  4. Lemon Avatar
    Lemon

    It think if I substitute “AI” = “top level subscription” this text will become more truthful.
    And is ai-disclosure in the end the site policy? Wouldn’t it be better to know that author doesn’t care about their message enough to make coherent text by themselves before reading?

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