Studying Theoretical physics or pure mathematics?

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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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