/sci/ - Science & Math

https://arxiv.org/abs/2008.13244
I think algebraic geometry (1) is the most prestigious field of mathematics at the moment.
Differential geometry (2), noncommutative geometry (3) would be next in prestige.
Then probability theory, partial differential equations. Comparatively not prestigious would be dynamical systems, analysis, statistics, theoretical computer science, mathematical physics, general topology.
Friends, let's discuss this little list. Let's discuss areas of algebraic geometry, shall we? What do you think about arithmetic geometry? Non-commutative algebraic geometry? What do you think about noncommutative geometry? What is your opinion of Alain Connes?