The World’s Best Mathematician 

Terence Tao 陶哲轩 : 

  • Research style: both Collaborative à la  “PolyMath” Project & “Lone Wolf” à la Andrew Wiles (“The Fermat’s Last Theorem”), G. Perelman (“The Poincaré Conjecture”) or Zhang Yitang 张益唐 (“70-million Gap in Twin Primes”)
  • Not attempting the Riemann Hypothese: tools not there yet.
  • His Weakness in Math: Algebraic Topology (拓扑代数) [*]

[*] Algebraic Topology: apply algebra (linear) in Topology: eg. Homology (同调), Co-homology (上同调), Homotopy (同伦) or Homological algebra, etc. A powerful applied mathematics used in Big Data Analytics.

3 Phases of Math Training:

  1. Pre-rigourous: intuition à la Ramanujian 
  2. Rigorous: formal proof
  3. Post-rigourous: 1 + 2 (intuitive bold “cheating” guess, followed by rigorous proof)