Studying Theoretical physics or pure mathematics?

AI Thread Summary
The discussion revolves around the dilemma of choosing between mathematics and physics, particularly in the context of theoretical physics and applied mathematics. The individual expresses a strong interest in both fields, highlighting a preference for theoretical physics and specific areas of applied mathematics such as topology and differential geometry. They acknowledge their strengths in spatial abilities and a passion for number theory, while also noting a lack of advanced analysis skills. Despite understanding complex topics like string theory and high-energy physics, they question their capability to pursue a career as a pure mathematician versus continuing in theoretical physics. The central concern is how to make an informed decision given their background and interests in both disciplines.
LevLandau
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have a nice day. I was torn between mathematics and physics. I do not know which one I wanted. How can I decide? for me; theoretical physics, applied mathematics - topology (dif.topology, alg.topology, geom.topology), differential geometry easy than pure, proof based mathemics. I'm better spatial ability. but at the same time I love the numbers theory. How can I decide? Thank you. I am very little backgorund advanced analysis. what should I do? Up to this time I study always in applied mathematics and theoretical physics. Please help. Thank you
 
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for example, I understand all string theory research papers; I understand all articles in high-energy physics. I'm fine with it. but I'am not too good at analysis. Can I be pure mathematician? or continue study theoretical physics ?
 

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