This was what I wanted my PhD to be like, but I ended up researching a topic that my professor didn't know that much about or was interested in, and ended up just casually informing her at times on how it was all progressing. My first real discussion was with a colleague, and the nicest discussion came at my doctoral defence itself. Bit late. Completely different field but really nice to see the exchange, different frames of reference on how each person is looking at the topic and with what goal. And also, it gives people an insight into how science is actually conducted on a day-to-day basis, even in a field like mathematics which one associates with endlessly sitting in a room alone and writing down functions. Very nice video.
Being able to hold a conversation with Professor Maynard, one of the greatest expert in the world in that field, must be a huge accomplishment by itself.
@@leif1075 geniuses and especially math geniuses are like 1 in millions.Its not just about Iq, its a very rare combination of different genetics factors that make someone a genius.Absolute majority of people with 160+ iq will never be even close to becoming math geniuses
He reminds me of Dieudonne. Nowhere near as intelligent. But maybe, you know 4 , 5 , 6 /10 almost as attractive… if he really works on those , … you know. James has the forearm muscles. My hubby’s got the thigh muscles: you have your share, and we have our own. That’s how we all kind of : you know. Get together, have a blast!
I love that Maynard used that term: "conservation of difficulty". Its such a pervasive law that anyone who has ever thought about a deep problem will encounter.
One observes James’ term: Modulini. This phonetic form could stem from (1) moduli space: A way of talking about things using pure mathematical points (2) module: A vector space over a ring.
Although I am not an expert in this field, but after carefully watching this video, I have came to the conclusion that I have nothing to contribute to this discourse. As I have established, I am not an expert in this field of study.
This guy should buy a tablet, that aside it's wonderful to being let to see this ideas interchange and technical details review Which is the base of scientific method
Dear Prof James, Please give a course on analytic number theory on youtube. Whole world will appreciate it. I am studying independently. I request you 🙏
This is amazing to think about the access we have now. I think the only way you could improve on this as a window for students or people becoming interested in math is I would love to hear how much maynard is tracking in his mind, obviously he could know exactly what every line is referring to if he was studying it himself, but I wonder since he is context switching and not involved in the detailed calculation it would be great to hear what his mental model is while listening, he must be keeping some generalised /simplified version in his head? Or maybe he is so intimately involved in the area and probably even provided the problem that he can easily track exactly what is going on at each point in his head? Would be curious to here what qualified/ experienced people would say on this.
I never thought I would hear the words "gut feeling" in such an exchange. Perhaps that's why math is called intuitive by many great scholars. My gut feeling on the other hand gently nudges me towards the left over take out food that has likely putrified over a set period. Oh well..
If you throw a 5 pound rubber ball and a 10 pound rubber ball inside a vaccum parrellel to eachother which falls first? my guess is that it's the one with less perspective of force being innacted upon it.
Hello all, I am a Geometer that is interested in the same structures as everyone else: In particular, arithmetic things concerning the naturals. I thought we were going to converge in interest; however, you brought up using the cauchy-swartz inequality: This is perhaps an important result to manipulate on an exam. As a functional analyst, I am professionally obliged to acknowledge that I don’t know where this comes from: (1) the topological structure of affine euclidean space (2) the vector structure of affine euclidean space. One is reffered to the observation that the euclidean 2-sphere: and in this sense of topology, … (i’ve been distracted and forgot!) ….. (Whatever that’s about) it isn’t a 2-dimensional vector space. So the concept of a norm is where we split paths. That’s why I’m a geometer.
@31:00 (For WITTEN HOTSHOT) ‘You glue variables’: I do identify as a geometer, But that would have to be rather precise algebraic knowledge being demonstrated to imply that these kinds of synthesis have anything to do with each other… (1) topological concatenation: Whatever epsilons’ existence one can find propagating downward as one performs ‘surgery’ I don’t know how one could exactly say that this Will correspond to algebraic synthesis between modules: Through action, as it were, if they aren’t the same ring… Obviously whatever tensor product one can define over a ring - this may not be the same product between rings by group action. So I wouldn’t necessarily sit lightly with him using ‘glueing’ like this…. The number theory is NOT geometry. Primes: to me , they are things that one can hold in ones hands.
Well, I am lone wolf, but this is a way to do Mathematics, idk maybe in the future it will be interesting for me have a Maynard person near me... By this moment I have enough with e-mails to ask for generous answers. Thanks for upload this, even that I have seen 4 minutes of the video, not really interested in their work. ^^.
This was what I wanted my PhD to be like, but I ended up researching a topic that my professor didn't know that much about or was interested in, and ended up just casually informing her at times on how it was all progressing. My first real discussion was with a colleague, and the nicest discussion came at my doctoral defence itself. Bit late. Completely different field but really nice to see the exchange, different frames of reference on how each person is looking at the topic and with what goal. And also, it gives people an insight into how science is actually conducted on a day-to-day basis, even in a field like mathematics which one associates with endlessly sitting in a room alone and writing down functions. Very nice video.
Being able to hold a conversation with Professor Maynard, one of the greatest expert in the world in that field, must be a huge accomplishment by itself.
This had me thinking whether or not I have profound and impactful insights to share. Turns out I have none. But I still stick around anyway.
Why do you think that? I could never admit I don't or that I'm not a math genius.
Why would either of you expect to have any insights whatsoever with regards to this conversation?
@@leif1075 geniuses and especially math geniuses are like 1 in millions.Its not just about Iq, its a very rare combination of different genetics factors that make someone a genius.Absolute majority of people with 160+ iq will never be even close to becoming math geniuses
He reminds me of Dieudonne.
Nowhere near as intelligent.
But maybe, you know 4 , 5 , 6 /10 almost as attractive… if he really works on those , … you know. James has the forearm muscles.
My hubby’s got the thigh muscles: you have your share, and we have our own.
That’s how we all kind of : you know. Get together, have a blast!
can we all acknowledge what a powerful thumbnail it is with James power-pointing?
I love that Maynard used that term: "conservation of difficulty". Its such a pervasive law that anyone who has ever thought about a deep problem will encounter.
That’s an interesting statement of the number theoretician’s perspective:
There are merimorphisms entertained in this kind of study.
@@scottychen2397 Do you mean "Meromorphic functions"?
Read it as Maynard James. Was expecting Tool. Came for Tool. Stayed for the Math.
Me too, stuck around because I was keen an' all that! 😉
Classic tool fan experience
I would not be able to stand the pressure to have a supervisor that is so high level
Now imagine when IELTS adopts part of this exchange for their listening task. :D
This is so nice to see! Thanks a lot for being willing to share it!
very unique and helpful content. thanks.
One observes James’ term:
Modulini.
This phonetic form could stem from
(1) moduli space:
A way of talking about things using pure mathematical points
(2) module:
A vector space over a ring.
Although I am not an expert in this field, but after carefully watching this video, I have came to the conclusion that I have nothing to contribute to this discourse. As I have established, I am not an expert in this field of study.
This guy should buy a tablet, that aside it's wonderful to being let to see this ideas interchange and technical details review Which is the base of scientific method
Dear Prof James,
Please give a course on analytic number theory on youtube. Whole world will appreciate it. I am studying independently.
I request you 🙏
If you go to the end of the video you'll see a link to one of two lectures on analytic number theory (or the James Maynard playlist)
Okay thanks
This is amazing to think about the access we have now. I think the only way you could improve on this as a window for students or people becoming interested in math is I would love to hear how much maynard is tracking in his mind, obviously he could know exactly what every line is referring to if he was studying it himself, but I wonder since he is context switching and not involved in the detailed calculation it would be great to hear what his mental model is while listening, he must be keeping some generalised /simplified version in his head?
Or maybe he is so intimately involved in the area and probably even provided the problem that he can easily track exactly what is going on at each point in his head?
Would be curious to here what qualified/ experienced people would say on this.
Wild guess but since it relates to the prime gaps stuff which Terrence Tao is working on he prob couldn't just know everything about it right away.
@@GinoTheSinner Maynard won a Fields medal for work on primes, mostly prime gaps. I think he's probably quite knowledgeable about it.
I understood many of those words!
I love how the whiteboard markers of even academic captains of industry go bad, it's universal
This term “morally” is new to me.
I never thought I would hear the words "gut feeling" in such an exchange. Perhaps that's why math is called intuitive by many great scholars. My gut feeling on the other hand gently nudges me towards the left over take out food that has likely putrified over a set period. Oh well..
Is this the analysis of Tool's musical patterns?
At some point I was wondering if they were still speaking English....
More of this please
If you throw a 5 pound rubber ball and a 10 pound rubber ball inside a vaccum parrellel to eachother which falls first? my guess is that it's the one with less perspective of force being innacted upon it.
Why do they use the word 'morally'? What does this mean in the context?
Seems strange
mathematicians use "morally" to mean things that intuitively "should" be true
Nice Meeting ❤
thanks a lot sir ❤❤❤❤
Hello all,
I am a Geometer that is interested in the same structures as everyone else:
In particular, arithmetic things concerning the naturals.
I thought we were going to converge in interest; however, you brought up using the cauchy-swartz inequality:
This is perhaps an important result to manipulate on an exam.
As a functional analyst, I am professionally obliged to acknowledge that
I don’t know where this comes from:
(1) the topological structure of affine euclidean space
(2) the vector structure of affine euclidean space.
One is reffered to the observation that the euclidean 2-sphere: and in this sense of topology, … (i’ve been distracted and forgot!) …..
(Whatever that’s about) it isn’t a 2-dimensional vector space.
So the concept of a norm is where we split paths.
That’s why I’m a geometer.
great learning
this made me realize how redarted i am
@31:00
(For WITTEN HOTSHOT)
‘You glue variables’:
I do identify as a geometer,
But that would have to be rather precise algebraic knowledge being demonstrated to imply that these kinds of synthesis have anything to do with each other…
(1) topological concatenation:
Whatever epsilons’ existence one can find propagating downward as one performs ‘surgery’
I don’t know how one could exactly say that this Will correspond to algebraic synthesis between modules:
Through action, as it were, if they aren’t the same ring…
Obviously whatever tensor product one can define over a ring - this may not be the same product between rings by group action.
So I wouldn’t necessarily sit lightly with him using ‘glueing’ like this….
The number theory is NOT geometry.
Primes: to me , they are things that one can hold in ones hands.
Ah yes, elementary.
Well, I am lone wolf, but this is a way to do Mathematics, idk maybe in the future it will be interesting for me have a Maynard person near me... By this moment I have enough with e-mails to ask for generous answers. Thanks for upload this, even that I have seen 4 minutes of the video, not really interested in their work. ^^.
AI will reveal that there is nothing to know.
There’s hardly any fidelity with AI