Fields Medals Awarded To 4 Mathematicians (nytimes.com) 75
Every four years, at an international gathering of mathematicians, the subject's youngest and brightest are honored with the Fields Medal, often described as the Nobel Prize of mathematics. The New York Times: This year's recipients, announced on Wednesday at the International Congress of Mathematicians in Rio de Janeiro, include one of the youngest ever: Peter Scholze, a professor of mathematics at the University of Bonn who is 30 years old. Two weeks ago, Peter Woit, a professor at Columbia University who blogs about mathematics and physics, was among those who anticipated that Dr. Scholze would receive the medal. Dr. Woit said Dr. Scholze was "by far the most talented arithmetic geometer of his generation." By custom, Fields medals are bestowed to mathematicians 40 years old or younger. That means Dr. Scholze would have still been eligible for another two rounds of medals. The medal, first awarded in 1936, was conceived by John Charles Fields, a Canadian mathematician. The youngest winner, Jean-Pierre Serre in 1954, was 27. The other Fields medalists this year are Caucher Birkar, 40, of the University of Cambridge in England; Alessio Figalli, 34, of the Swiss Federal Institute of Technology in Zurich; and Akshay Venkatesh, 36, of the Institute for Advanced Study in Princeton and Stanford University in California. Peter Scholze's award cites "the revolution that he launched in arithmetic geometry," the study of shapes that arise from the rational-number solutions to polynomial equations (like xy3 + x2 = 1 or x2 â" y3z = 3). More about him here. As a mathematician, Caucher Birkar has helped bring order to the infinite variety of polynomial equations -- those equations that consist of different variables raised to various powers. No two equations are exactly alike, but Birkar has helped reveal that many can be neatly categorized into a small number of families. [As a reader pointed out, Birkar's award was stolen within minutes of him receiving it.] UPDATE (8/4/18): Organizers have announced they'll provide an identical replacement medal.
Once a classics student with no particular affinity for mathematics, Alessio Figalli has gone on to shake the venerable mathematical discipline of analysis, which concerns the properties of certain types of equations. Figalli's results have provided a refined mathematical understanding of everything from the shape of crystals to weather patterns, to the way ice melts in water. Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his "profound contributions to an exceptionally broad range of subjects in mathematics."
Once a classics student with no particular affinity for mathematics, Alessio Figalli has gone on to shake the venerable mathematical discipline of analysis, which concerns the properties of certain types of equations. Figalli's results have provided a refined mathematical understanding of everything from the shape of crystals to weather patterns, to the way ice melts in water. Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his "profound contributions to an exceptionally broad range of subjects in mathematics."
Stolen (Score:4, Informative)
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The G1 news site said Birkar had left the medal in a briefcase with his cellphone and wallet on top of a table in the pavilion where the event was being held. The event's security team later found the briefcase under a bench, but the medal was missing.
Rio's O Globo newspaper said the thief had already been identified from security camera footage.
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Can you give a concrete example?
https://www.springer.com/us/book/9781441969491
I don't see anything in that link giving an example where "one expression [is] equivalent to 0 in one case, but the same expression in another equation is not".
My guess is that this indicates you made an error in calculation.
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If you are claiming to have read a 667 page textbook on functional calculus within ~3 hours
No.
I'm claiming to have read the link that was given, which was one paragraph long.
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Re:If only higher math was useful (Score:5, Informative)
If only higher math was useful.
Over and over again, fields of mathematics that were believed to have no possible application whatsoever have turned out to be critical to our understanding of some field of science. Group theory, for example, was once believed to be pure mathematics with no possible use, but now it's central to our understanding of physics.
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Great. We now know there's a black whole at the center of most galaxies. Now what the fuck are we ever going to do with that knowledge, and how much money did that cost us to find out.
You should be pleased with the currently emerging neo dark age where anti-science is a winning political strategy in our post-fact era..
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The monetary benefit is we no longer have to behave as if a cosmology created by nomadic savages thousands of years ago is the truth.
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Study of prime numbers had no practical application for hundreds of years, at least!
Until, public key cryptography invented in the 70s!
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Do you use wireless internet? Cell phones? GPS? Satellite TV or digital cable? Look into information theory and signal filtering.
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I would suggest starting here: https://mathoverflow.net/quest... [mathoverflow.net]
If you still are unconvinced, I am sorry for your loss.
Which brings up an interesting question... (Score:2)
...does Mathematics face any unsolved quandary similar to the physics world and the hunt for the theory of everything?
Is there some identified, but unsolved mathematic challenge that promises to change the world?
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Design me an IIR filter from a frequency response to whatever accuracy I spec. That's two right off the bat.
Solve systems of nonlinear equations (see above).
Huge practical and obvious applications for these, no truly meaningful work - the entire world is a system where the next input is the last output - recursive, fractal - did we really have to wait for Mandelbrot to even begin t
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If only higher math was useful. Just seems like a giant circle jerk.
I, very strongly, recommend consulting Abstruse Goose [abstrusegoose.com]. Be sure to check the hover text:
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
Losses [Re:Tesla] (Score:2, Offtopic)
If there's no doubt left that Tesla is a cult look at all the apologists celebrating the biggest loss in automotive history as "very good". Imagine if GM lost 700,000,000.00 in a quarter. I bet these ***SAME*** people would be calling it fraud, a scam, shut it down, etc.
Huh? In 2007, GM posted a loss of 38.7 billion dollars.
The following year they lost "only" 30.9 billion dollars. That is still forty times larger than the Tesla loss you are discussing.
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No (Score:2)
the Fields Medal, often described as the Nobel Prize of mathematics
Actually, the Nobel Prize is the Medal in some Fields.
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The eligibility, nomination and selection process is very different, though. A group of four people like here cannot get a Nobel Prize, for example - there's a strict limit of three.
This has caused some problems before, like when Wilson and Penzias got the Nobel Prize in physics for detecting the cosmic background radiation, when Dicke and Peebles were the ones who told them what they had found and understood the impact, but could not be added because that would have bumped the recipients to more than thre
Is this about my Fields Medal? (Score:2)
You can have it if you want it.
Comment removed (Score:3, Interesting)
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Re:Dirty immigrants with their filthy Fields medal (Score:5, Insightful)
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To more directly answer your question: if we exclude students and other academic talent from American/Australian/UK universities - which have for decades been the best place for academics to find a home - on account of their country of origin, then those universities suffer. Eventually, those best minds go elsewhere, and in this case, it wouldn't have been Delhi, but some other place with a larger wealth of talent in a country with better immigration policies. And then those universities will attract the be
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You didn't answer my question: why is it important what country they settle in? Is it more important for them to contribute to Australias economy, or the US economy or India's economy? That is very Nationalist of you.
From the perspective of humanity as a whole, it matters only that the brightest people get the resources they need to realize their full potential.
From the perspective of any one nation, smart people want all of the big brains to live and work in their country, which means they want a fairly open immigration policy. This is an approach that worked fantastically well for the US in the 20th century. Idiots prefer to harass foreign visitors and build walls, ensuring that the smart people from every other cou
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>Why would it matter so much what country anyone resides in?
Because some turn out to have talents and you would want them to be in a country that fosters those talents, so for example they end up solving problems in mathematics, rather than growing up to be an illiterate gourd farmer. Illiterate gourd farmers are legitimate, but gourd farming can be constraining for the budding genius.
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Totally. Throw open the borders. If freedom of trade in goods is good for economies and personal wealth, why is freedom of trade in labour not? Europe opened its borders internally and all the moaning ninnies said the sky would fall in and waves of immigrants would ruin the place. All it did was improve the economy, make people's lives easier and freer and make it possible for more diverse and better restaurants to exist.
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Why do you hate freedom? Are you a North Korean dictator?
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You are confusing immigration with invasion. If someone wants to be apart of another country, adopt that counties attitudes, values, and ideals and language, that should be encouraged. When Werner von braun came to the USA and helped build the Saturn V, he was not waving the NAZI flag and loudly calling for the extermination of USAian sovreighnty. When the most important Jewish refugees came to the USA and made up the backbone of the Manhatten project, they were not shitting on the USA the whole time.
Thi
Maryna Viazovska (Score:1)
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Because: representation matters. There's only ever been one woman awarded a Fields Medal.
And is this vastly disproportional to the representation of the most accomplished mathematicians?
Having a living woman Fields Medal winner would make a huge difference to other women studying mathematics.
I've always found such lines of reasoning funny. Has it ever prevented women from studying mathematics when there was no Fields medal at all? Has it prevented men? Does having a living Fields medalist of my nationality help me, as opposed to all of them being foreigners? And had Mirzakhani not died, would there be less pressure to award it to Viazovska? It all sounds like a solution in search of a problem to me.