Posted by Jason Polak on 01. March 2017 · Write a comment · Categories: math

Number theory (NT) on the arXiv is a big section. In fact over the last two years, a little over 5700 papers have been posted there. Just for fun I wrote a Python program to help me find the most popular words in the titles and abstracts of the papers. Excluding common english words and common mathematical words such prove, function, and theorem, here are the top twenty keywords I found:

  1. prime
  2. group
  3. integer
  4. modular
  5. rational
  6. elliptic
  7. quadratic
  8. series
  9. polynomial
  10. zeta
  11. class
  12. bound
  13. galois
  14. algebraic
  15. abelian
  16. representation
  17. adic
  18. sequence
  19. diophantine
  20. linear

And how does this compare to algebraic geometry (AG), with almost the same number of papers posted?

  1. projective
  2. algebraic
  3. curve
  4. smooth
  5. moduli
  6. group
  7. complex
  8. variety
  9. surface
  10. rational
  11. degree
  12. field
  13. finite
  14. point
  15. real
  16. surface
  17. toric
  18. bundle
  19. dimension
  20. genus

What about rings and algebras (RA), one of my favourite areas with a little under half of the above categories?

  1. algebra
  2. finite
  3. group
  4. ring
  5. field
  6. module
  7. hopf
  8. matrix
  9. category
  10. commutative
  11. simple
  12. graded
  13. generated
  14. polynomial
  15. characteristic
  16. linear
  17. quantum
  18. ideal
  19. free
  20. dimension

Again, all of these were approximately over the last two years. The program was a little crude and might have made a mistake here or there but looking at the words it found these seem like an excellent approximation.

Leave a Reply

Your email address will not be published. Required fields are marked *