Scholze's win has been predicted for quite a while now, as it turns out. He's a number theorist of stunning originality primarily known for developing a new kind of geometry, that of perfectoid spaces, for arithmetic purposes.
Here's an interview with him that will be accessible to nonspecialists:
At a higher level, here's an appraisal of his work by a professional in a closely related area:
It's not often that contemporary mathematics provides such a clear-cut example
of concept formation as the one I am about to present: Peter Scholze's
introduction of the new notion of perfectoid space. The 23-year old Scholze
first unveiled the concept in the spring of 2011 in a conference talk at the
Institute for Advanced Study in Princeton. I know because I was there. This
was soon followed by an extended visit to the Institut des Hautes Études
Scientifiques (IHES) at Bûres- sur-Yvette, outside Paris — I was there too.
Scholze's six-lecture series culminated with a spectacular application of the
new method, already announced in Princeton, to an outstanding problem left over
from the days when the IHES was the destination of pilgrims come to hear
Alexander Grothendieck, and later Pierre Deligne, report on the creation of the
new geometries of their day. Scholze's exceptionally clear lecture notes were
read in mathematics departments around the world within days of his lecture —
not passed hand-to-hand as in Grothendieck's day — and the videos of his talks
were immediately made available on the IHES website. Meanwhile, more killer
apps followed in rapid succession in a series of papers written by Scholze,
sometimes in collaboration with other mathematicians under 30 (or just slightly
older), often alone. By the time he reached the age of 24, high-level
conference invitations to talk about the uses of perfectoid spaces (I was at a
number of those too) had enshrined Scholze as one of the youngest elder
statesmen ever of arithmetic geometry, the branch of mathematics where number
theory meets algebraic geometry.) Two years later, a week-long meeting in 2014
on Perfectoid Spaces and Their Applications at the Mathematical Sciences
Research Institute in Berkeley broke all attendance records for "Hot Topics"
conferences.
- Michael Harris, "The Perfectoid Concept: Test Case for an Absent Theory"
> Consequently, those who conquer world dominance in a sector can hardly be undermined. Try telling your children to leave Whatsapp and start using Indoona. They will never do it. On Whatsapp they can interact with all their friends; sending them to Indoona would be like condemning them to a nearly desert island.
I suspect it's the children that are reading the article in more cases than not.
An entertaining, particularly biting, and horribly shortcoming-riddled statement of the case against EA that nevertheless captures a common set of views:
Is there a name for a set of views that are correlated with each other in prevalence, in the sense that they occur together more often than could be explained by chance alone? It's similar to the idea of a syndrome in medicine: "opinion syndrome", perhaps?
Here's an interview with him that will be accessible to nonspecialists:
https://www.youtube.com/watch?v=J0QdTYZIfIM
At a higher level, here's an appraisal of his work by a professional in a closely related area:
- Michael Harris, "The Perfectoid Concept: Test Case for an Absent Theory"
https://www.math.columbia.edu/~harris/otherarticles_files/pe...