Best field to do original research

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SUMMARY

The discussion centers on the best fields for conducting original research with a foundation of four years of university-level mathematics. Participants suggest astrophysics and computer science as viable options, emphasizing that breakthroughs typically require advanced education beyond undergraduate studies. The conversation highlights the importance of personal interest in selecting a research area, with Knot Theory mentioned as a specific mathematical field worth exploring. Overall, the consensus is that while foundational knowledge is essential, genuine interest is crucial for successful research.

PREREQUISITES
  • Understanding of undergraduate-level mathematics concepts
  • Familiarity with astrophysics principles
  • Basic knowledge of computer science and engineering problems
  • Introduction to Knot Theory and its applications
NEXT STEPS
  • Explore advanced topics in astrophysics research methodologies
  • Investigate computer science algorithms relevant to engineering problems
  • Study Knot Theory and its implications in mathematical research
  • Research the process and requirements for pursuing a PhD in mathematics or related fields
USEFUL FOR

Students and researchers interested in original mathematical research, particularly those with a background in undergraduate mathematics looking to explore fields like astrophysics, computer science, or Knot Theory.

kurt.math
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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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