哪些是当前热门的数学领域?

hbghlyj

在知乎找了一个提问：
哪个方向是当前数学界最热门的方向？

在r/math版块找了一些相关帖子：
What areas of math research are really active / trendy right now. Why?
Most active areas of math these days?
What areas in analysis are "hot", for a prospective PhD student?
Popular/"Hot" Areas of Math Research
What are the active areas of research im math today?
ELI5: What are current active research areas in ...
Is there a current active area of mathematical research ...
What are the current active areas of research in ...
What are the "hottest" areas of study?
What are some of the most actively-researched topics
active research area in harmonic analysis (on the pure ...
What areas of research in Algebraic Topology are still active?
Are there any branches of mathematics that more or less ...
Inactive research fields : r/math
Quantitatively speaking, which subject area in mathematics ...
How is research in Functional Analysis? : r/math
The prestige and status of research fields within mathematics
What is current real analysis research about? : r/math
What would you consider a small idea in Maths that led to ...
What, in your opinion, is the most important math research ...
What's a useful, developing field in math?
It seems like Analysis is not as popular as other fields in ...

hbghlyj

科学空间博客在2015年对arxiv的论文做了个统计：
ARXIV数学论文分布：偏微分方程最热门
相关问题：
What is interesting in studying PDE's?

hbghlyj

amm msc.pdf有一个根据MathSciNet的统计结果：
Most Popular:
35 Partial Differential Equations
62 Statistics
65 Numerical Analysis
68 Computer Science
81 Quantum Theory
05 Combinatorics
90 Operations Research, Mathematical Programming
34 Ordinary Differential Equations
60 Probability Theory and Stochastic Processes
93 Systems Theory; Control
Fastest Rising:
40 Sequences, Series, Summability
91 Game Theory, Economics, Social and Behavioral Sciences
92 Biology and Other Natural Sciences
94 Information and Communication, Circuits
19 K-Theory
05 Combinatorics
74 Mechanics of Deformable Solids
47 Operator Theory
93 Systems Theory; Control
65 Numerical Analysis