Can You Change Your Speciality After Receiving a PhD in Mathematics or Physics?

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Choosing a specific area of focus for a PhD, such as Metamathematics, Pure Mathematics, or Mathematical Physics, can limit the ability to switch specialties later in an academic career. Once a researcher has established their niche, they often face pressure to produce results in that area to secure postdoctoral positions and future jobs. While there are overlaps between these fields, transitioning to a different specialty typically requires significant time and effort, which can be challenging when under the constraints of publication demands. Established researchers with tenure may have more freedom to explore diverse interests, but early-career academics often find themselves confined to their chosen specialty due to the need for consistent output in a competitive environment.
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let's say, hypothetically, that i was doing my phd dissertation on only one of the next topics: 1.Metamathmeatics (model logic,proof theory,set theory,recursion theory).
2. Pure Maths (Algebra,Analysis,Geometry/Topology,Combinatorics,Number Theory).
3. Mathematical Physics &/or theoretical physics (cosmology,quantum gravity,chaos).

and I receive my phd diploma, let's say afterwards i would be doing a postdoc, and gradually getting to be a reasercher in academia, would my speciality in one of the above subjects harm any chance of me to also research in other subjects, or when you choose your narrowed speciality you cannot also contribute to other fields, i mean by writing articles etc.

this is only a hypothetical question, i don't think that iv'e even touched the tip of the exciting questions in the above fields, and above all my ignorance is obviously showing, but at least i have a great deal of enthusiasim towards the fields mentioned above, perhaps not to specialise in but at least be of interest to me.

p.s
you may assume I am daydreaming but in hypothetical type of questions you can do so. [;-)].
 
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all sound very interesting! but probably too hard to even write a thesis on these, not to say work as a competent researcher... the dream is over... wake up!
(talking to myself) :smile:
 
Sadly, yo'ure unlikely to be able to change speciality after the PhD. The problem being you have to keep producing results in order to get your next job, and it depends on whether you can spare the time to both produce results on something and learn something else entirely different. Of course, there are lots of overlaps between the subjects, and you may find yourself able to work in some areas that involves all subjects - there is no reason to suppose that research in one area is completely isolated from work in another.

The chance to suddenly switch direction is often restricted to those whose positions are established. This is frequently one of the criticisms levelled at the tenure system: sure, once you have tenure you're not as beholden to meeting publication criteria, but until then you're frequently forced to work in some narrow area tweaking small things in your research.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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