Posted on 07/04/2016 4:38:42 PM PDT by MtnClimber
At 28, Peter Scholze is uncovering deep connections between number theory and geometry. In 2010, a startling rumor filtered through the number theory community and reached Jared Weinstein. Apparently, some graduate student at the University of Bonn in Germany had written a paper that redid Harris-Taylor a 288-page book dedicated to a single impenetrable proof in number theory in only 37 pages. The 22-year-old student, Peter Scholze, had found a way to sidestep one of the most complicated parts of the proof, which deals with a sweeping connection between number theory and geometry.
It was just so stunning for someone so young to have done something so revolutionary, said Weinstein, a 34-year-old number theorist now at Boston University. It was extremely humbling.
Mathematicians at the University of Bonn, who made Scholze a full professor just two years later, were already aware of his extraordinary mathematical mind. After he posted his Harris-Taylor paper, experts in number theory and geometry started to notice Scholze too.
Since that time, Scholze, now 28, has risen to eminence in the broader mathematics community. Prize citations have called him already one of the most influential mathematicians in the world and a rare talent which only emerges every few decades. He is spoken of as a heavy favorite for the Fields Medal, one of the highest honors in mathematics.
Scholzes key innovation a class of fractal structures he calls perfectoid spaces is only a few years old, but it already has far-reaching ramifications in the field of arithmetic geometry, where number theory and geometry come together.
(Excerpt) Read more at quantamagazine.org ...
It is amazing that new mathematical methods continue to be developed.
These people are Freaks of Nature, and we are all blessed by their existence.
Wow. Reaching into the mind of God...
Freaks of Nature, like this?
Or perhaps God's way of saying, "There is far more beauty & wonder out there than you can ever imagine!"
e.g. Mandelbrot diagrams
You’d be amazed at how many fit into the autistic spectrum.
Obama would say he didn’t think that.
Discovered. God already developed them. We discover them.
I thought that 1+1 = 3 was settled science.
On a less /s note, science (and math which describes it) is the description of the Created Universe (Guess Who created it).
So, of course, wonderments in science and math are just a peek at the God of Creation.
PS. God says 1+1=2 ... settled!!!
Have you ever seen a clash of colors in nature?
the first Theorem alone made my head hurt.
i can’t even post it because the interpreter thinks it’s all HTTP...
http://www.math.uni-bonn.de/people/scholze/PerfectoidSpaces.pdf
And we have a legion of Ivy League and big name colleges that can’t even do big math ... like balancing a budget!!!!
Balancing a budget is common sense. Something absent in leftist elitists who run most universities.
I could not follow it either.
Three of my five sons sit around the dinner table discussing higher level mathematics and consider it entertainment and great fun. Eldest has 4 (simultaneous) degrees in Math, Computer Science, Physics and Greek, Summa Cum Laude, Phi Beta Kappa (when a junior); another is a Civil Engineer, P.E. now writing complex engineering calcs in C Sharp; the youngest a senior getting a degree in Mechanical Engineering.
I can barely understand what they are talking about - but this is right up their alley - so thanks for the post - sending it on to them. They will love it......
No hope I’ll ever understand it...........
Check my tag line.
Just as I thought.
You are blessed.
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