Best field to do original research

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Discussion Overview

The discussion revolves around identifying the best field for conducting original research using the mathematical knowledge acquired during the first four years of university. Participants explore various fields, including mathematics and its applications, while considering accessibility and personal interest.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that personal interest should guide the choice of field for original research.
  • Another participant proposes astrophysics as a potential field for original research.
  • A different viewpoint emphasizes the challenge of achieving significant breakthroughs with only four years of university-level education, noting that advanced research typically requires further education, such as a PhD.
  • One participant speculates that computer science-related fields might offer opportunities for original research, particularly in areas that blend pure mathematics with engineering problems.
  • Knot Theory is mentioned as a specific area of interest for research.
  • Another participant reiterates the importance of pursuing research in a field that genuinely interests the researcher.

Areas of Agreement / Disagreement

Participants express differing opinions on the feasibility of making original contributions with only four years of university mathematics. While some emphasize personal interest as a guiding factor, others highlight the limitations of that educational background in achieving breakthroughs.

Contextual Notes

There are unresolved assumptions regarding the level of expertise required for original research and the specific fields that might be more accessible to those with limited mathematical training.

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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