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Students’ insight proves that the local-global conjecture doesn’t hold

quantamagazine.org

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Re: Students’ insight proves that the local-global conjecture doesn’t hold

#2
Assume that something is true, write code to generate cases, run it, plot the generated data, expect that the plots show that everything matches the assertion, notice it doesn't, disprove the thing previously considered true.

Nice and elegant.

Re: Students’ insight proves that the local-global conjecture doesn’t hold

#6
A lot of recent math discoveries seem to be geometrical: circle packing, infinitely tiling patterns, neighbor coloring theorem, ...

I don't seem to see as much discoveries in other areas like number theory, calculus, algebra etc...

Is this a bias of what gets covered on HN, or are this type of geometrical problems the currently most active field of mathematics?

Re: Students’ insight proves that the local-global conjecture doesn’t hold

#8
post #6

A lot of recent math discoveries seem to be geometrical: circle packing, infinitely tiling patterns, neighbor coloring theorem, ... I don't seem to see as much discoveries in other areas like number theory, calculus, algebra etc... Is this a bias of what gets covered on HN, or are this type of geometrical problems the currently most active field of mathematics?

All of those new discoveries involve running code. More people are learning to code, more libraries are being written, compute costs are going down. It’s hard to break ground on a “sit and think” problem, especially one that is approachable enough that it’s also understandable news when you solve it.

Re: Students’ insight proves that the local-global conjecture doesn’t hold

#9
post #5

[flagged]

Counterpoint: am American and I read it exactly as intentioned the first time. It didn't even occur to me to read it in the context you did until you mentioned it. I don't watch network news though.

I don’t watch network news either and had the same reaction as OP reading “two students shoot down”

A better headline could be “Widely Believed Math Conjecture shot down by two students.”

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