The recent [article on Quanta](https://www.quantamagazine.org/how-many-numbers-exist-infinity-proof-moves-math-closer-to-an-answer-20210715/)
(by Natalie Wolchover)
concerning $\aleph\_1$ vs. $\aleph\_2$ suggests that there is
excitement within that community:



> 
> Juliette Kennedy: "It’s one of the most intellectually exciting, absolutely dramatic things that has ever happened in the history of mathematics."
> 
> 
> 


Another instance is the [Fargues/Scholze advances](https://arxiv.org/abs/2102.13459)
on "Geometrization of the local Langlands correspondence,"
which has the Langlands world excited:



> 
> Eva Viehmann: "It’s really changed everything. These last five or eight years, they have really changed the whole field."
> 
> 
> 


This makes me wonder if there is something like a [heat map](https://en.wikipedia.org/wiki/Heat_map) for all of mathematics,
which would show the areas with a lot of excitement.
It seems difficult to capture this via arXiv postings,
but that is an obvious starting point.
Has anyone pursued this?



Heat map of current mathematics
<https://paperscape.org/> is a 'heat map' of the arxiv if you color the graph by age. Unfortunately, its ability to detect links between mathematics papers is a bit lacking compared to physics papers for some reason, but it still gives a very interesting view of the subject.


