Thanks for your comments friends, please note that our ranking does not necessarily include the ten most talented living people in the world in mathematics, but 10 influential people in the field of mathematics. Also, the position of each person in this ranking is determined based on the sum of his scientific background and services to mathematics so far. For example, the fact that Terence Tao is in fifth place does not necessarily mean that he is the fifth most talented person in this group, but only that his total achievements in such a position are comparable to others. His age difference with others shows this great talent. Another point is that problem solving is not the only thing a mathematician should do, it is more important to create a program and paradigm in mathematics. What people like Hilbert or Grotendik and others have done in the past. Grigori Perelman may have more power to solve the problem than Robert Langlands, but Langlands has created a program that engages many mathematicians around the world. Adding the Perelman to this list requires the removal of one of the members of this group, which does not seem to be the right thing to do. Let us all be careful not to be influenced by mass media propaganda in our choices, people like Perelman have received more media attention due to their different lifestyles. While figures such as Pierre Deligne or Jean-Pierre Serre have lived in media silence. This does not mean that they are less important than others. We should not forget that at the age of 26, Jean-Pierre Sir still holds the record for the youngest recipient of the Fields Medal, and Pierre Deligne is the one who has proven the hardest part of André Weil's conjecture.
2 роки тому
Agrees that conceptual matters is at least as important as problem solving. Jean-pierre Serre at the top isn't controversial at all. A very reasonable choice. On another video: The list of probable winners of the Fields Medal is quite remarkably informed I think.
Perelman's achievements are the most important for the field among all this men, imo. Plus contrary to what some could say he does not look for media attention.
And Shing-Tung Yau? Why don't you just accept the fact that you are a little biased? Like the same you did for the top 10 physicists without even mentioning CN Yang.
This list reflects only mainstream of math while there exist other, less popular but not less deep and important areas. In a list reflecting all areas of math, Saharon Shelah definitely would be among three most prominent alive mathematicians. Several other logicians, e.g., Hugh Woodin also would be in the list.
@@toddtrimble2555 The Fields Medal is a prize awarded to mathematicians under 40 years of age, Shelah's age is 76. He has lots of other prizes though. Actually I do not think such medals and prizes are very important. There are lots of Fields winners while Shelah is unique like Euler or Hilbert. Woodin's results require understanding, they are deep, difficult and not "popular".
@@denis.i.saveliev Didn't you see that I used the past tense? Obviously I meant Shelah would have been worthy of consideration when he was of eligible age. Stability theory (or classification theory) has a wide-ranging significance for mathematics generally, which I suppose is a consideration for Fields Medals committees. I don't disagree about Woodin's talent and the depth and difficulty of his work, but speaking to Woodin's "prominence", his work is rather specialized and most mathematicians couldn't name a single result of his, and it doesn't currently have much impact on what they do. (Perhaps that will change if Harvey Friedman succeeds in his mission of bringing large cardinals into the "mainstream".) Woodin is prominent in set theory, is about as far as I'd go. Ultimately I agree with you about the relative importance about medals and prizes, but they are at least a touchstone in discussions of top-ten lists.
@@toddtrimble2555 Thanks, I read your statement about the Fields medal too hastily (perhaps, because the idea to valuate Shelah's work by the Fields seemed strange to me). As for Woodin's "prominence", please note that the movie is about the "greatest", not "most prominent" mathematicians alive. His result of a general math significance is, e.g., on the axiom of determinacy (joint with Martin and Steel). In fact, the aim of my remarks was not to propagate my personal taste but to point out that math should not reduced to mainstream. I do not see why results of logic or set theory need recognition from experts in geometry or dynamics to be considered as mathematically significant, but not conversely. Anyway, thanks for sharing your view.
Does it make a good service to the mathematical community and the general public by ranking mathematicians? Perhaps parents prefer their children being ranked but quite often it harms more than helps. Many years ago the American Mathematical Society considered introducing the class of Fellows to their memberships and polled their existing members. The proposal was turned down by a common voice---the classification destroys rather than enhances the unity of people who love math. On the "technical" side ranking mathematicians also doesn't make good sense. Each mathematician has his/her own role in the development of mathematics; we can't say topology is more important than number theory too. Applying the same reasoning to physicists, how should we order Galileo, Newton, and Einstein except that they were born in different eras of physics?
Perhaps we have deeply entered in an era of no great mathematicians ...(at least for those who are publicly known ).By the way , great mathematicians like I Gelfand , Michael Stone , A Kolmogorov , Laurent Schwartz , J. Lion , I. Itô ,
You are talking abut progress mainly on Algebraic Topology.. But progress on Probability theory remembering specially with the all important contributions of K Itô , the huge progress on the subject on the mathematical theory of Noise and signals (Kolmogorov , Wiener, Shanon as the leading contributors on this field ), besides highly complex subjects on functional analysis like Uniform Algebras , Hilbert Space approach for analytical functions etc , are always with deep shame under represented as real deep progress on Pure Mathematics on twenty century . @@mounirhayani3059
Grigori Perelman. There should be a top 11 list then. When everybody shied away from the infinities, he alone overcame that. Doesn't opening a new way to attack problems count for anything? So no Nobel prize in mathematics. I am surprised to see so many other prizes instead. Nothing for proving 1 + 1 = 2 ?
QM classicalized in 2010:Juliana Mortenson website Forgotten Physics uncovered the ‘hidden variables .’ Again the greats don’t understand simple math. Wien, Planck, De Broglie, Einstein,Bohr,etc. completely mystified on basic math.
What is called Exact Live time based Infinite Foundations 4th Astabh 2022 Thanks I never followed like this above 9feet Diameter Darkerworld System in my infinite Journey Infinite space +infinite Time +infinite Earth Immortal infinite journey micron to Universe Completed by infinite Founder Pawan Tiwari
But do any of them understand that Galilean relative motion has the earth approaching the released object. 50% possibility. 1 out of 2. Higher math. The earth approaching the released object IS gravity. So sad.
Numbers are not true structures for they have not been measured by energy, frequency waves and vibration.for the number structure to be true.sound can not be measured by light therefore sound is measured by it's energy
People who thinks that Perelman must be in the list. Perelman is the matematician for himself, he did nothing for society and math development. He never shares his knowledge with other.
But even if he doesn't share all of his knowledge with society, from what we know of his work, he's still among the greatest mathematicians alive, isn't he?
@@richardf.6430 This is an old school approach. The science (not only math) must be openly presented for all the people (science democratisation). In my opinion the greatest mathematician who's still alive is Grant Sanderson (1b3b UA-cam channel and Khan academy courses) because he opens the math world for everyone in a most simple way, and yes, at the same time he's a great scientist.
@@736939 Old school? I also think science must be democratized, and I also admire science communicators like Sanderson. But, to be the greatest mathematician, you need to show your work; discover stuff and make progress in the field. You can be the greatest science communicator alive, and not be the greatest mathematician alive. Those are different. A great teacher isn't necessarily a good scientist or mathematician (meaning, he can't do original work or discover things).
I think u should also add Grigory Perelman
And Adwart witten as well
@@piyushdamor4826 Adwart?
Apparently, in this channel they don't like people who refuse their prizes.
@@vincenzo7597 Edward
@@vincenzo7597 i Appreciate Majorana tho great Profile pic
I was with jean pierre serre yesterday. He talked about "faisceaux coherent and etale cohomology" in his lecture. We were about 20 people in the room.
Amazing. What vitality!
Gonna need a proof of this ranking
I think you didn't mention me in that list
Kenneth Ribet, Edward Frenkel, Don Zagier, Richard Stanley, Luc Illusie, Adebisi Agboola, Ken Ono, Cedric Villani,
Ranking mathematicians is as absurd as saying that Milnor is above Kontsevich.
So true
Thanks for your comments friends, please note that our ranking does not necessarily include the ten most talented living people in the world in mathematics, but 10 influential people in the field of mathematics. Also, the position of each person in this ranking is determined based on the sum of his scientific background and services to mathematics so far. For example, the fact that Terence Tao is in fifth place does not necessarily mean that he is the fifth most talented person in this group, but only that his total achievements in such a position are comparable to others. His age difference with others shows this great talent. Another point is that problem solving is not the only thing a mathematician should do, it is more important to create a program and paradigm in mathematics. What people like Hilbert or Grotendik and others have done in the past. Grigori Perelman may have more power to solve the problem than Robert Langlands, but Langlands has created a program that engages many mathematicians around the world. Adding the Perelman to this list requires the removal of one of the members of this group, which does not seem to be the right thing to do. Let us all be careful not to be influenced by mass media propaganda in our choices, people like Perelman have received more media attention due to their different lifestyles. While figures such as Pierre Deligne or Jean-Pierre Serre have lived in media silence. This does not mean that they are less important than others. We should not forget that at the age of 26, Jean-Pierre Sir still holds the record for the youngest recipient of the Fields Medal, and Pierre Deligne is the one who has proven the hardest part of André Weil's conjecture.
Agrees that conceptual matters is at least as important as problem solving. Jean-pierre Serre at the top isn't controversial at all. A very reasonable choice. On another video: The list of probable winners of the Fields Medal is quite remarkably informed I think.
Where is mangul bhargava
Perelman's achievements are the most important for the field among all this men, imo. Plus contrary to what some could say he does not look for media attention.
And Shing-Tung Yau? Why don't you just accept the fact that you are a little biased? Like the same you did for the top 10 physicists without even mentioning CN Yang.
This list reflects only mainstream of math while there exist other, less popular but not less deep and important areas. In a list reflecting all areas of math, Saharon Shelah definitely would be among three most prominent alive mathematicians. Several other logicians, e.g., Hugh Woodin also would be in the list.
The list is HIS personal raking. My list for instance begins with Yuri Manin.
Shelah would have been a good pick, certainly, and one could argue he probably should've won a Fields Medal. I wouldn't pick Woodin though.
@@toddtrimble2555 The Fields Medal is a prize awarded to mathematicians under 40 years of age, Shelah's age is 76. He has lots of other prizes though. Actually I do not think such medals and prizes are very important. There are lots of Fields winners while Shelah is unique like Euler or Hilbert.
Woodin's results require understanding, they are deep, difficult and not "popular".
@@denis.i.saveliev Didn't you see that I used the past tense? Obviously I meant Shelah would have been worthy of consideration when he was of eligible age. Stability theory (or classification theory) has a wide-ranging significance for mathematics generally, which I suppose is a consideration for Fields Medals committees.
I don't disagree about Woodin's talent and the depth and difficulty of his work, but speaking to Woodin's "prominence", his work is rather specialized and most mathematicians couldn't name a single result of his, and it doesn't currently have much impact on what they do. (Perhaps that will change if Harvey Friedman succeeds in his mission of bringing large cardinals into the "mainstream".) Woodin is prominent in set theory, is about as far as I'd go.
Ultimately I agree with you about the relative importance about medals and prizes, but they are at least a touchstone in discussions of top-ten lists.
@@toddtrimble2555 Thanks, I read your statement about the Fields medal too hastily (perhaps, because the idea to valuate Shelah's work by the Fields seemed strange to me).
As for Woodin's "prominence", please note that the movie is about the "greatest", not "most prominent" mathematicians alive. His result of a general math significance is, e.g., on the axiom of determinacy (joint with Martin and Steel).
In fact, the aim of my remarks was not to propagate my personal taste but to point out that math should not reduced to mainstream. I do not see why results of logic or set theory need recognition from experts in geometry or dynamics to be considered as mathematically significant, but not conversely.
Anyway, thanks for sharing your view.
If this was filmed in 2014, there would be a top 15, with those 10 worthy mathematicians you named, and Grothendieck as numbers 1 through 5.
Peter Scholze is great
Perelman, Scholze, and perhaps Villani as well
Solid list, but I would have liked to see Stepehen Smale, John Tate and Shing-Tung Yau there.
Grigori Perelman is not there
Does it make a good service to the mathematical community and the general public by ranking mathematicians? Perhaps parents prefer their children being ranked but quite often it harms more than helps. Many years ago the American Mathematical Society considered introducing the class of Fellows to their memberships and polled their existing members. The proposal was turned down by a common voice---the classification destroys rather than enhances the unity of people who love math. On the "technical" side ranking mathematicians also doesn't make good sense. Each mathematician has his/her own role in the development of mathematics; we can't say topology is more important than number theory too. Applying the same reasoning to physicists, how should we order Galileo, Newton, and Einstein except that they were born in different eras of physics?
I agree with Serra’s quote if and only if you are not talking only about mathematics.
I love this clip so much! Hope to see much more videos about math on this channel.
Very interesting and worthwhile video.
Why professor Yau Shing Tung , winner of Field 's medal, Wolf Prize, and many prizes is not included ??
Illusie & Perelman
Illusie. Yes! You understand!
NICOLAS BOURBAKI IS STILL ALIVE😹😹😹😹😹
Perhaps we have deeply entered in an era of no great mathematicians ...(at least for those who are publicly known ).By the way , great mathematicians like I Gelfand , Michael Stone , A Kolmogorov , Laurent Schwartz , J. Lion , I. Itô ,
Every century has its revolutionary mathematicians. Maybe ours' just haven't shown up to the public yet.
if u're talking about young mathematicians I might agree but serre is one of the most if not the most in 20th century
You are talking abut progress mainly on Algebraic Topology.. But progress on Probability theory remembering specially with the all important contributions of K Itô , the huge progress on the subject on the mathematical theory of Noise and signals (Kolmogorov , Wiener, Shanon as the leading contributors on this field ), besides highly complex subjects on functional analysis like Uniform Algebras , Hilbert Space approach for analytical functions etc , are always with deep shame under represented as real deep progress on Pure Mathematics on twenty century . @@mounirhayani3059
Nice list. Expand the list to include Barry Mazur, Vladimir Drinfeld, Roger Heath-Brown
i think grigori perelman should be no 1 ,just because he doesnt want to be figurehead
Why 丘成桐is not included ??
one direction
melanie lambert
anthony thompson...
no Sir Roger Penrose or Perelmann o:
Barry Mazur, Yuri Manin, Saharon Shelah, Roger Penrose.
Where is my Maths Hero 🤔🤔🤔🙄🙄🙄 Grigory Perelman
Arguablly, Edward Witten is at least as influential to math as some people in the list.
There are many amazing mathematicians in the world. This is very nice but still many good people left out.
I suggest Grigory Perelman in this list.
My all time favorite are Tao and Gromov.
IF SERRE IS NUMBER 1 THEN THE LIST IS CERTIFIED BUT I THINK ITS MORE VALUABLE TO MAKE A LIST ABOUT "ACTIVE" MATHEMATICIANS.
Serre appears to be still active. His last article on arXiv was published 2 weeks ago.
@@countgrishnackh2109 thanks didnt know
@@countgrishnackh2109 Damn, what a man.
Marie-France Vigneras, Raman Parimala, Shing-Tung Yau.
S.Smale ,Tung-Yao ?
Grigori Perelman. There should be a top 11 list then. When everybody shied away from the infinities, he alone overcame that. Doesn't opening a new way to attack problems count for anything? So no Nobel prize in mathematics. I am surprised to see so many other prizes instead. Nothing for proving 1 + 1 = 2 ?
John Thompson is really great.
Jaques Tits too but he died recently as you know. So he doesn't qualify.
Jean Pierre Serre must be immortal.
No list is complete without Penrose. Impressive people all.
QM classicalized in 2010:Juliana Mortenson website Forgotten Physics uncovered the ‘hidden variables .’ Again the greats don’t understand simple math. Wien, Planck, De Broglie, Einstein,Bohr,etc. completely mystified on basic math.
I would be embarrassed if someone best me in mathematics
Peter Scholze ??????????????????????
you include Tao but not Perelman.... Tao is overrated
Are you crazy? If you think Terrence Tao is overrated you are obviously clueless
Tao is not overrated but Perelman must be in this list
Tao isn't overrated
Make theory Exact which is related with infinite Journey Ramanuj have infinite bless but only Constant in mathematics with hardy
Very nice.
SHREE NIVAS RAMANUJAN 🇮🇳🇮🇳🇮🇳
He's not alive, so he's not on the list
Love from india
Laurent LAFORGUE devrait figurer dans cette liste
Et Alain Connes
Timothy Gowers, Terence Tao.
Maybe #2 and #7 can help Putin figure out how many tanks he needs to produce this month using the "German Tank Problem" method
Perelman is dead?
I think u should include Ramanujums name.
Title says- Mathematicians Alive. FYI: Ramanujan is dead for over a century now.
Ok
author is from the uk
What is called Exact Live time based Infinite Foundations 4th Astabh 2022
Thanks
I never followed like this above 9feet Diameter Darkerworld System in my infinite Journey
Infinite space +infinite Time +infinite Earth Immortal infinite journey micron to Universe Completed by infinite Founder Pawan Tiwari
come on where is Grigori Perelman? not even on top 10? HOW?
Isn't 丘成桐 alive?
Yes, he's now teaching in Peking University I believe.
Sing yung tao 776 Research paper
Stevo Todorcevic
Mathematical community is an irony, they only mention those who are in the community. Nice 'short' video.
Perelman !
But do any of them understand that Galilean relative motion has the earth approaching the released object. 50% possibility. 1 out of 2. Higher math. The earth approaching the released object IS gravity. So sad.
Numbers are not true structures for they have not been measured by energy, frequency waves and vibration.for the number structure to be true.sound can not be measured by light therefore sound is measured by it's energy
Emmy?
I KNOW HE DEAD BUT GROTHENDIECK THE GREATEST
X. Cell
where is Perelman?
where is grigory pereleman
What about the greatest mathematician of 20th crntury?
My first on the list will be this indian guy(hard to spell his name)
Ramanujan
Et Alain Connes ?
How can I take you seriously now since you didn't add Perelman? 🤦🏻♂️
WTF where is Gorodentsev Aliaksei Lvovich????
Vladimir Arnold
He's no longer alive bro, since 2010.
@@vincenzo7597 Sad. I watched a talk of his when I was in grad school, a loooong time ago...
Valmidhir Putin 🤔🤔
Gromov in his interview says that Grighori Perelman is a cut above the rest mathematicians
perhaps but he is no longer active in mathematics.
1. He said WAS, not IS. 2. He also said Perelman's actions are not ethical.
shingtung yau
sovereign God substantive choice organizes peoples of world
U know the list is biased wehn there's not a single person from india included
There are many great mathematicians in this world. To claim some of them as the greatest is absurd.
Come on, man, you need to at least ask these 10 people about their opinions.
Half of those are already dead...
Where is ramanujan, aryabhatta
Sigh.
This is today's list
In the grave..sorry they were probably cremated. Read the title again before commenting stupid
Gregory PERLMAN..ABOUT THOPOGRAPY
topology
No Perelman? Seriously? No Witten? This list is useless. Replace Tao with Perelman, at the very least.
Witten might have been considered a "lowly" physicist... (note: I am a physicist)
Tao highly overatted
Where is Alexander Grothendieck?
This list is about mathematicians who are still alive.
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Fribble dip doddley bop sandwich green strump blah blah . .... Ok that was a load of rubbish but it still made more sense than your comment .
All this done for me is convince me that Mathematics was less useful than I anticipated.
So are you.
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People who thinks that Perelman must be in the list. Perelman is the matematician for himself, he did nothing for society and math development. He never shares his knowledge with other.
he published his papers for free lol
But even if he doesn't share all of his knowledge with society, from what we know of his work, he's still among the greatest mathematicians alive, isn't he?
@@richardf.6430 This is an old school approach. The science (not only math) must be openly presented for all the people (science democratisation). In my opinion the greatest mathematician who's still alive is Grant Sanderson (1b3b UA-cam channel and Khan academy courses) because he opens the math world for everyone in a most simple way, and yes, at the same time he's a great scientist.
@@736939 Old school?
I also think science must be democratized, and I also admire science communicators like Sanderson. But, to be the greatest mathematician, you need to show your work; discover stuff and make progress in the field. You can be the greatest science communicator alive, and not be the greatest mathematician alive. Those are different. A great teacher isn't necessarily a good scientist or mathematician (meaning, he can't do original work or discover things).
What a piece of bullshit. Judging the man without the man.
Grothendieck?
He's dead.