Programs Phd in pure maths and theoretical physics

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The discussion centers on the feasibility of obtaining dual PhDs in pure mathematics and theoretical physics. It highlights the challenges of contributing significantly to both fields due to the advanced state of human knowledge. Historical figures like Gauss and Lagrange are noted for their dual expertise, but contemporary examples are rare. The conversation points out that no one has received both the Fields Medal and the Nobel Prize in Physics, emphasizing the specialization required in modern academia. It is mentioned that while mathematical physics bridges the two disciplines, true theoretical physics demands substantial effort, making it difficult for individuals to excel in both areas simultaneously. The trend of scientists conducting significant work later in their careers further complicates the pursuit of dual expertise, as individuals typically focus on their primary field of interest rather than switching disciplines.
MathematicalPhysicist
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im just wondering if there are such excellent grad students or soemone who already did accomplish getting a phd degree in pure maths and a phd in theoretical physics? (or are you familiar to such people?).

i think this is insane even to think about it, let alone really doing it...
 
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Well there is mathematical physics - but that's more like applied mathematics.

Human knowledge has advanced to the point where it would be pretty difficult to contribute substantially to both of those fields. In the 19th century you had people like Gauss, Lagrange, etc.who were both brilliant mathematicans and physicists, but I can't think of anyone like that in the 20th century - Einstein might come close although a lot of his formulation of GR was based on work by Minkowski. To my knowledge no one has won both the Fields Medal(considered to be the highest award in Mathematics) and the Nobel Prize in Physics.

Nowadays, it seems scientists and even mathematicians are starting to do more of their important work later in their careers, which makes it even harder to be a switch hitter. Once you have a PhD in a hard science field or Mathematics, you don't get a second one, unless its "honorary". If you are a mathematican who wants to start doing theoretical physics, for instance, you just start working. I know someone who has a doctorate in math who is doing biology(bioinformatics though - not experimental).
 
the two fields you mention are the two most compatable fiels to do this. Quantum Mechanics and Relativity both rely on a lot of theoretical math, so schientists who com out with PHd's in these fields usuall can scoop up a PH'd in Mathematics with a bit of hard work. On the other hand, the opposite is not true, theoretical physics takes a lot more work to achieve the concept. Today, this combination is not seen because if youre a theoretical physicist, you want to focus on research in the field you love, and the same goes for math PHd's.

Regards,

Nenad
 
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