Best field to do original research

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The discussion centers on the feasibility of conducting original research using four years of university-level mathematics. It highlights that while personal interest is crucial, achieving significant breakthroughs typically requires advanced education, such as a PhD. Participants suggest fields like astrophysics and computer science, noting that many research problems blend pure mathematics with engineering challenges that involve trial and error. The consensus emphasizes the importance of pursuing research in areas of personal interest for the best outcomes.
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What would be the best field to do original research with all the math from the first 4 years of uni?
 
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Whatever field interests you the most.
 


Is this a personal opinion question? I'd say astrophysics then.

Although if you are talking about yourself I have no idea then. /sigh
 


I was just wondering what field of mathematics would be most accessible to achieve a result with 4 years of university mathematics
 


I choose... the lucky one!
 


I am not a math major but I would bet that it is VERY unlikely for you to make any kind of break through in any field with only your four years of university level education. Why do you think the people who make the breakthroughs spend 4-6 years getting their PhD first?
 


My guess would be something computer science related. One thing about these sorts of problems is that a lot of things aren't so much "pure math' but engineering problems that involve a good deal of trial and error.
 


Knot Theory
 


You'll be infinitely better researching what interests you, so my answer would be the same as Vanadium 50's.
 
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