Unsure of the path I should take after univeristy

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SUMMARY

The discussion centers on a university student who excelled in core mathematics modules but feels unprepared in physics fundamentals from the first two years. Despite achieving a first-class degree in advanced topics, the individual is committed to relearning essential physics concepts to gain confidence in their qualifications. They are considering a focus on quantum gravity and recognize the need to study group/set theory and differential geometry, as well as contemplating pursuing a PhD in Europe.

PREREQUISITES
  • Understanding of core mathematics modules (Maths 1, 2, 3, 4)
  • Basic knowledge of physics principles from introductory courses
  • Familiarity with quantum gravity concepts
  • Awareness of group/set theory and differential geometry
NEXT STEPS
  • Review introductory physics textbooks to reinforce foundational concepts
  • Study group theory and set theory through resources like "Naive Set Theory" by Paul Halmos
  • Explore differential geometry with "Differential Geometry of Curves and Surfaces" by Manfredo P. do Carmo
  • Research PhD programs in Europe focusing on quantum gravity and related fields
USEFUL FOR

Students in physics or mathematics, aspiring researchers in quantum gravity, and individuals considering advanced academic paths in Europe.

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At the start of univerity I had a huge problem that really threw me off track. Thus during the first two years (4 year total due to masters) I focused my time on the core maths modules (maths 1, 2, 3, 4).

In year 3 and 4 I sorted the problem and really got my head down and ended up achieving a 1st in all modules (some high 1st e.g. QFT).
This has led me to a very strange predicament, that being, I need to relearn the physics from year 1 and 2 as I don't feel confortable saying I have a degree until I relearn them. This is troubling as I feel time is running out (I'm 23 years old).

I'm tending towards the quantum gravity path so I also need to learn group/set theory, differential geometry etc. Furthermore, I'm opening up to the idea of a PhD (in europe) which is one of the main reasons I need to know the bascis.
Any advice?
 
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