Why I Quit My PhD in Math

Quitting my PhD was one the BEST decisions I ever made in my life. I’ve never been happier since. But, why would someone leave a PhD in pure mathematics? I mean, isn’t it the pinnacle of knowledge and prestige? I’m gonna share 3 reasons for why I did it, and my hunch tells me that many of you who are watching this video will be able to relate very strongly to me.

In 2014 I started my bachelor’s in physics, and like most people, I expected to have a very long career in academia and eventually win the Nobel Prize. By my second year, my dream changed to just finishing my bachelor’s degree and surviving for the next 3 years. Anyway, in 2019 I completed the bachelor’s in physics and I ended up doing a Master’s in Pure Mathematics, and finally got accepted into a PhD program to study Analysis. But, then, I got disillusioned. I finally ended up getting to the point that I’ve always dreamed of, but it was not at all what I expected. And these are the three reasons why:

  1. Freedom 

I started this whole journey because I truly love learning. And at first, a PhD sounded like the ideal setup to keep feeding my curiosity. You’re surrounded by smart people, you’re digging into hard problems, and it’s supposed to be this intellectual playground, right? But I quickly realized that research, in that environment, is not the same thing as learning freely.

There’s this great moment in one of Carlo Rovelli’s books, “Seven Brief Lessons on Physics”, where he mentions that as a student, he actually looked forward to university vacations. Why? Because only then he could actually study, on his own terms. No assignments, no scheduled lectures. Just time to think, and understand deeply.

In a PhD program, there’s very little space for that kind of individual pacing. You’re inside a rigid box, where the expectations are clear, and very narrow. You have one problem, often chosen within a very specific subfield. You’re supposed to spend 3, 4, 5 years digging into it. That’s it. And yes this depth does sound noble, but unfortunately it often comes at the cost of everything else that made learning exciting in the first place.

But when I put myself outside of that structure, and gave myself permission to fish around, to explore topics broadly, and to follow my own curiosity across disciplines, I figured out that I often ended up learning faster, and even better. So, you become more resourceful. You ask better questions, because that’s something you actually care about, something you actually want to know.

I believe that the freedom to look for answers anywhere can make you a better researcher than following a predefined path. But in a PhD program, that freedom doesn’t exist. You’re in a box. It’s a very well-respected box. But it’s still a box.

This is just one of the reasons. Just listen to the next one, and tell me if you can relate to it. I’m very confident that this one will resonate with many of you.

  1. Diversity

Like I said, the structure of a PhD today is extremely narrow. And I do understand why the concept of specialisation exists. I absolutely see why it has to be that way. The reason why is that you’re supposed to go deep into a specific problem, and contribute something new to the field. But some people, like me, want to learn more than just an edge case of a subset of a tiny subject, that only, like 5 people in the whole world know about.

I love math, and yes I have my preferred areas, but I still want to explore other angles, and other fields, and see connections between them. Staying locked into one tiny piece of knowledge for years just kills my motivation.

And historically, that kind of wide-ranging curiosity was very common.

Look at the greatest minds we admire today. Take Euler for example, probably the broadest, and arguably greatest mathematician ever. He didn’t just revolutionize calculus. He made major contributions in number theory, graph theory, fluid dynamics, mechanics, astronomy, optics, and even music theory. He was not really a specialist in a tiny little field in any sense. Then we have Hilbert. He was one of the people who laid the ground of modern mathematics, but who also made influential contributions to the early development of both general relativity and quantum mechanics. Paul Dirac helped create quantum mechanics and predicted antimatter, but also worked on general relativity and even statistical theory. Poincaré practically founded topology, contributed to celestial mechanics, and laid the groundwork for chaos theory. Von Neumann? He was into everything: set theory, quantum mechanics, game theory, economics, computing. Then Feynman: quantum electrodynamics, sure, but also superfluidity, computing, nanotechnology, and physics education. And of course we don’t only have to take the older examples, from decades ago. The greatest mathematician alive today, Terrence Tao, is also very unusually broad, being known for his contributions in various distinct mathematical fields.

And, I’m not the only one who shares this opinion. Mathematician Freeman Dyson said exactly that in an interview. The quote is a bit long, but trust me it’s worth it.

“The whole PhD system to me is an abomination. I don’t have a PhD myself, I feel myself very lucky I didn’t have to go through it. I think it’s a gross distortion of the educational process. What happens when I’m responsible for a PhD student, the student is condemned to work on a single problem in order to write a thesis, for maybe two or three years. But my attention span is much shorter than that. I like to work on something intensively for maybe one year or less, get it done with and then go on to something else…all the PhD students had these same constraints imposed on them, which I basically disapprove of. I just don’t like the system. I think it is an evil system and it has ruined many lives. ”

Now, I’m not comparing myself to them, obviously, but I think a lot of mathematicians in general share that same kind of curiosity. We love math in general. Not just topology, not just PDEs, and so on.

Yeah, specialization is inevitable to some extent, because you can’t seriously study everything at once. But the magic, for me, happens between fields. Learning how one area interacts with another. These connections are super satisfying, at least for me.

Most of you who watch our YouTube videos probably do not come to our channel for one narrow topic only. You come because you enjoy math as a whole.

To be very honest, even with all these negative points, I would have probably just sucked it up and finished my PhD anyway. But the last point, the one that really pushed me over the edge, was the career reality.

  1. Career

Honestly, this is what convinced me that the system is just broken.

Being a full-time researcher or professor today is nothing like the idealized version we often imagine when we first get into math or physics. It’s not a stable, respected position where you’re given space to think and create. It’s become more like a game of survival: “publish or perish.”

It’s not a matter of publishing only quality research, it’s more about trying to stay afloat and vomit out papers so that the university stays happy with you.

There are just way too many brilliant, and passionate people all competing for the same handful of permanent positions. And as a result, people spend years (sometimes more than a decade) bouncing between short-term contracts. I’m talking about one-year, two-year post-docs. Moving from country to country, from city to city. No financial security and no long-term plan.

And what’s worse, these are often some of the smartest minds on the planet. We are talking about very talented researchers. People with the potential to really push human knowledge forward. And instead of being supported, they’re stuck applying for grants, and fighting for low-paying positions.

I mean, this is just basic economics. Too much supply, not enough demand. When that happens, compensation drops. And there is no stability. All you can do is hope that you’re the one who finally lands a tenure-track position before you burn out, or run out of money to support you and your family, and that’s if you even have the time to build a family.

After I quit my PhD, I had to get a part-time job as a waiter. I made more money in this part-time job, than in my PhD. Actually, the other day I saw a pizza delivery guy and guess who it was? It was a guy who entered the math PhD program with me at the same time 3 years ago.

Talk about not being appreciated…

That’s a huge loss, in my opinion. Not just for them, but for society.

I’m not saying I have a solution to all of this. But I looked at that system and thought: this is not the kind of life I want for me and for my family. The cost is way too high.

Academia needs to realize the problem and do something about it, because the situation is getting out of hand.

And these are the 3 reasons why I quit my PhD. Let me know your thoughts about it, especially if you guys can relate to me, or if you disagree.

Also, if you want to support our channel, consider becoming a member.

Thank you for that!

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7 responses to “Why I Quit My PhD in Math”

  1. Thomas Wright Avatar
    Thomas Wright

    I recently came back to school in my late 40’s; in pursuit – specifically – of a doctorate.
    I’m now 47 and after two full years back, I see things that 20-somethings just don’t see.
    It is rigged. It’s an absolute joke! I mean, comp-sci alone is a … well … let me preface this:
    For the past 20 years, I’ve been a software engineer. So, you’d think I would have zero issues taking any CS courses, right? I mean, you’d think.
    I got special permission to jump into CS 2420 because of my professional background, and I’m telling you right now – the gate-keeping is blatant and on display for the whole world to see … and nobody cares.
    For a 4 credit-hour course … in a language I used to use professionally … yet having to spend upwards of 20 hours per week on that course alone? It’s absolutely ridiculous.
    Even for campus-living kids who aren’t working and are fully focused on school and school alone … that’s a wildly unfair time requirement (which is actually against academic rules).
    I asked other students how much time they spend on the course, and every single one said “WAY more than what I spend on any of my other 4 credit-hour courses”
    Then, come to find out – almost 50% of the other kids were re-taking the course because they failed the previous semester. In fact, CS2420 failure is SO prevalent, that they send an email to all CS students at the end of the semester with recommendations for what to do if you failed 2420.
    A 4 credit hour course should be no more than 12 hours per week … upwards of 20? Sometimes 24? Pathetic behavior on their part.
    Their exams are asinine and reveal very little about the students capabilities behind the keyboard.
    Each exam is a 15 page packet where the majority of the work is to write syntax perfect Java code, by hand, for almost every question.
    I know this stuff like the back of my hand – and I promise you – as hard as I tried to write as fast as I could – it’s simply impossible to complete their CS exams when time is called. The vast majority of students are all still there scribbling away. Turns out, the ones that left early – left because they just gave up and dipped.
    No bell curve – no grading adjustments.
    Bro – I failed 2420. I’m not the best engineer out there – but I ain’t bad, and I know the material really well. So for ME to fail that course … and for ME to spend over 20 hours on just that course per week? That’s insane. That is legit gate keeping.
    Every complaint I’ve filed, every email I’ve sent – all met with silence and I go to THE most prestigious school in my state.
    So I dunno.
    All I know is academia is broken. Like – REALLY broken.

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    1. DiBeo's Avatar

      Hey man, that’s seriously tough. I really appreciate you sharing all that. Why do you think they designed such a system though? My guess is that keeping the failure rate high means students stay in the system longer, which means more money for the university. But I’m just speculating, i have no idea if that’s actually the case. Curious what you think?

      Also, totally relate to the hand-written coding exams. I had to write C by hand back in uni too. Apparently that’s still common in a lot of European colleges. Makes zero sense to me… (and all the friends I talked to shared the same feeling)

      But yeah, there’s a lot to complain about when it comes to academia. I’m trying not to focus on it too much though. I’d rather think about how we can fix it, or at least figure out how regular peoplee outside the system can help others who are stuck in it. Would love to hear your thoughts on that

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    2. integer5538 Avatar

      Thomas, what you said certainly sounds consistent with gate-keeping. In 2014, the US and Canada cracked down on for-profit universities because several of them popped up during the weak job market just to exploit people. The university probably only wants to pass Olympiad programmers so they can say 80% of our graduates find jobs.

      Like

  2. integer5538 Avatar

    Dear Luca Di Beo,

    A few days ago I watched your YouTube video ‘Why I Quit My PhD in Mathematics’. I could relate to that because I had a favorite math topic for many years and was unsure whether getting a higher math degree would help or hurt my research on it. Your video also inspired me to see your Patreon page. Then I saw this benefit. ‘For all Math and Physics lovers: I set up weekly Q&A sessions to discuss any questions you might have or anything you may find interesting!’ So I bought your $10 monthly subscription on Patreon. I want to do more to help your channel, but I cannot because I did not hear back from you. I need more info about attending your weekly meetings.

    Happy Holidays, Ken

    Like

  3. Diego Filippo Marino Avatar
    Diego Filippo Marino

    Hi, I’m in a difficult situation and could really use some perspective. I’m 29 years old, I’ve already been working for a few years, and my age is honestly my biggest concern when I think about my future and career.

    I have an MSc in Applied Mathematics. I wasn’t top of my class, but I wasn’t at the bottom either, let’s say I was a slightly above-average student with a strong passion for mathematics. After graduating, I ended up working in a field I really don’t enjoy. Every day I would think, “I miss mathematics so much; I miss doing challenging and interesting things.” That feeling pushed me to apply for a PhD.

    I eventually got accepted into a fully funded PhD in Mathematics/Computer Science, in an area that genuinely interests me (applied math for machine learning). But now that everything is becoming real, and the start date is getting close, I’m having serious doubts.

    What if I’m not smart enough for a math PhD? What if I can’t prove the theorems I need, or handle the level of abstraction? I don’t plan to stay in academia, but I’d like to work as a researcher in industry, and most of the roles I’m interested in strongly prefer or require a PhD. That was the main reason I applied.

    Lately, though, I keep questioning everything. My two biggest fears, the ones that make me swing daily between “I’m going to do this PhD” and “I should withdraw before even starting”, are my age and the fear that I’m simply not good enough. And then there’s the uncertainty about what happens after the PhD if I don’t want an academic career. What if I finish at 32 and nobody hires me? What if I’m seen as too old and without a clear career path?

    I would really appreciate some advice from someone who’s already been through this. If you’re open to it, I’d even be willing to pay for a quick consultation or chat, just to understand your experience and get some clarity.

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    1. DiBeo's Avatar

      Hi Diego, first of all, thanks for reaching out. I will give you my honest opinion and my advice, but be aware of the fact that nobody (including me, of course) can make this choice for you. You need to make a choice and take responsibility for it.

      You said that you do not enjoy your field (not only your current job, but the entire field), which is already a huge red flag that you must do something about, that you must change this situation, because the tendency is that it will just get worse for you over the years. You, like many, probably love math and miss the good old days of being a student and working on interesting and challenging problems. With that said, it does not mean that the only option you have in your life, in order to do what you love, is a PhD and staying in academia. It just means that you need to find another field that stimulates you and gives you the same feeling you had of doing meaningful work. I think you should search A LOT (and I mean it) for other fields, companies, career paths, etc., before deciding that a PhD is your best bet to achieve professional fulfillment.

      Now, if you come to the conclusion that a PhD is your best choice (even if you are not yet fully convinced about it), then I’d say that you need to evaluate why you are having these doubts now. As I understood, you are doubting the PhD path because 1. You don’t think you are smart enough for a PhD, 2. You are afraid of being considered too old by the marketplace (by the time you finish your PhD, at 32), and therefore you think that you will not get hired in a stable job.

      About the first point: this is definitely not true. If you have a MSc in Applied Mathematics, you are DEFINITELY capable of going through the PhD. Everybody (including your supervisor) does not expect you to win a Fields Medal in your PhD thesis or to prove a new and revolutionary theorem in Mathematics. Even with all the shortcomings of academia, it is a fact that they do understand that you will take the first years to learn more than to research. Of course, you’ll have to work REALLY hard, and eventually, you’ll need to produce original research (with your supervisor’s help), but nobody expects you to find groundbreaking research in your PhD. In fact, your thesis will not be your best work. Most likely, it will be your worst, cuz it’s your first! So, my sincere advice is: stop overthinking.

      Concerning the second point: this is a serious problem in my opinion. First of all, in what country do you live? How is the economy and job opportunities in your area/city? Do you know of other people who got a PhD and then went to work as researchers in industry? These are the most important questions you need to answer first. Also, as I understood, you are about to start a PhD in machine learning, which is a “subset” of AI. Now, there are sooo many business owners freaking out because they want to implement AI in their business, to not be left behind, but they have no idea about how to do it. And 3 years from now, there will be even more business owners freaking about about it! If you use your PhD to become an “expert” in AI, it will not matter how much experience or how old you are, cuz everybody will want to hire you. It is the best professional opportunity at the present moment.

      So, again, I cannot decide for you. You need to take responsibility. But if you think you can “suck it up” and spend the next 3, 4, or 5 years of your life in a PhD doing what you love, but with little to no freedom, not much diversity, and not many job opportunities afterward (except for this option I mentioned about specializing in AI and becoming a researcher or employee in a private company, for example), then go for it, cuz I am sure you are smart enough to do it, as long as you persevere. Really, PhDs are not as smart as they want the world to believe they are. So, you can do it haha

      I hope this helps.

      Like

      1. Diego Filippo Marino Avatar
        Diego Filippo Marino

        Thanks for the answer.

        I live in Italy, near Milan. Job opportunities, at least the interesting ones, are very few, and there are almost no jobs (for entry-level/junior), I guess it is a combination of market being bad at the moment, and Italy being not a great country for these topics (ML and non-trivial math). I know a few people who are doing/have done a PhD, but unfortunately they have just finished and haven’t started yet looking for a job or postdoc, so they cannot tell me more. Also they are still young (28/29).

        Regarding your last part, I think (for now at least, before even starting) I can “suck it up” for 3 years, I have no doubt I will like those 3 years. The big fear is “what comes after”. Basically everyone is telling me “age doesn’t matter”, but if I had trouble finding a “nice, interesting, challenging” work with a MSc, why wouldn’t I have trouble with a PhD, and being older?

        I really hope I can have an epiphany in the next few days and decide.

        Like

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