Reminds me of the book "Do not erase" by Jessica Wynne. She did this project in which she photographed the blackboards of several mathematicians in the middle of their working. Its so fascinating.
A friend of mine once told me that in high school he was obsessed with the formulas for solving cubic and quartic equations in radicals. I on the other hand once gave a popularization talk to prospective math students on solving polynomial equations with barely a mention of those formulas. My goal was to show them a little glimpse of what mathematical research is like. One of my favorite aspects of it is that, in research, all is allowed that is not expressly forbidden. So, even though we know that higher degree polynomial equations cannot be solved by radicals, if we allow ourselves to merely approximate the solutions, then there is a whole slew of methods that give us solutions to polynomial equations of any order to arbitrary accuracy: bisection method, fixed point iteration, Newton's method, zero counting (using complex analysis and topology). I find any of those methods (or the whole idea) beautiful because they easily overcome a seemingly insurmountable problem by simply slightly changing the rules of the game.
Hi, congrats on the interviews you've done so far, they are amazing! They really touch on the human side of mathematicians that you don't usually see in more formal, TV kind interviews. I'd love to see more interviews with women: Sophie Morel for example would be very interesting, she's a very interesting character and an outstanding mathematician (tenure at harvard at 30 to say the least about her). Laura Saint-Raymond is another one I'd be really interested in seeing, especially because she has six(!) children. On the younger side you have Lisa Sauermann and Elena Giorgi who are about 30 and assistant professors at MIT and Columbia, respectively. Other mathematicians that I would personally be interested in seeing interviews with are Alessio Figalli, Bhargav Bhatt, Stafillani Gigliola, Aleksandr Logunov, James Maynard, Daniel Tataru, Larry Guth and Simion Filip
I saw your vid about “when the balance breaks” . May you know some comfort at this difficult time and may your family be safe. Blessings to all those beautiful Russians who are also suffering at this time because they challenge the system - your loving sacrifice does not go unrecognised.
I'm Duy and I'm Vietnamese. I'm fifteen years old. I live in an ordinary place where people still mainly do agriculture. I'm lonely in the universe I don't have any friends to talk to about it. The stress of being alone makes me always fail. Before I started doing math I had many fears. I need math because it goes with physics. I'm bad at math and how did you study math as a child? . I read many books about physics it is too complicated for my age but it is my passion. When texting these lines things are very bad. I have never talked to a mathematician. I'm happy to hear from you and wish you a good day. I don't speak English so I have to use google translate. I don't know where to go? . I wish you a happy day with the best numbers in the world that I dream of being able to understand. Math is love❤️❤️❤️
I know some people wouldn't find surprising that the natural numbers and the rationals have the same amount of elements because they would say "yeah both have infinitely many". That's when you show them that there are more real numbers than rational numbers hahaha
Can u explain certain stuff Miss Yakerson, 1: How does taking smash product help in computing homotopy. The defn is so not intuitive. 2. What is a cubical object in a category. I want the motivation for why A1 is used as the parameterising object in Voevodsky Motivic Stable Category. Is it because K theory is A1 stable? 3. How to get intuition for a spectra. I know its a top space and how homotopy classes of maps to these represent generalised cohomology. But what do these spaces look like. Is there any concrete example. Like say what cohomology is represneted by the Projective spaces? Or is my question vague Hope u see it😆
So far this is my favorite video of yours! What a nice idea. I would love to see some more examples of what mathematicians deem beautiful. I haven't watched a lot of your interviews yet so please forgive me if you're already doing it, but maybe you could ask your guests for a piece of math they deem beautiful!
I didn't know in some places a sheaf was called "gavilla" (my native language is spanish and had never heard that word). In Spain we call it "haz", which is more similar to the word "bundle".
Reminds me of the book "Do not erase" by Jessica Wynne. She did this project in which she photographed the blackboards of several mathematicians in the middle of their working. Its so fascinating.
cool book indeed!
That sounds so interesting. I don't think I have heard of this book before? Thank you for sharing this title.
A friend of mine once told me that in high school he was obsessed with the formulas for solving cubic and quartic equations in radicals. I on the other hand once gave a popularization talk to prospective math students on solving polynomial equations with barely a mention of those formulas. My goal was to show them a little glimpse of what mathematical research is like. One of my favorite aspects of it is that, in research, all is allowed that is not expressly forbidden. So, even though we know that higher degree polynomial equations cannot be solved by radicals, if we allow ourselves to merely approximate the solutions, then there is a whole slew of methods that give us solutions to polynomial equations of any order to arbitrary accuracy: bisection method, fixed point iteration, Newton's method, zero counting (using complex analysis and topology). I find any of those methods (or the whole idea) beautiful because they easily overcome a seemingly insurmountable problem by simply slightly changing the rules of the game.
I'm also very open to sharing and learning math. Thanks for all your shared videos.
Hi, congrats on the interviews you've done so far, they are amazing! They really touch on the human side of mathematicians that you don't usually see in more formal, TV kind interviews. I'd love to see more interviews with women: Sophie Morel for example would be very interesting, she's a very interesting character and an outstanding mathematician (tenure at harvard at 30 to say the least about her). Laura Saint-Raymond is another one I'd be really interested in seeing, especially because she has six(!) children. On the younger side you have Lisa Sauermann and Elena Giorgi who are about 30 and assistant professors at MIT and Columbia, respectively. Other mathematicians that I would personally be interested in seeing interviews with are Alessio Figalli, Bhargav Bhatt, Stafillani Gigliola, Aleksandr Logunov, James Maynard, Daniel Tataru, Larry Guth and Simion Filip
I saw your vid about “when the balance breaks” . May you know some comfort at this difficult time and may your family be safe. Blessings to all those beautiful Russians who are also suffering at this time because they challenge the system - your loving sacrifice does not go unrecognised.
thank you for your kind words!
I find the integration of x squared on the interval from 0 to 3 to be aesthetic. Integrands are so pleasing to me to write.
$\int_0^3 x^2 dx =9$
I'm Duy and I'm Vietnamese. I'm fifteen years old. I live in an ordinary place where people still mainly do agriculture. I'm lonely in the universe I don't have any friends to talk to about it. The stress of being alone makes me always fail. Before I started doing math I had many fears. I need math because it goes with physics. I'm bad at math and how did you study math as a child? . I read many books about physics it is too complicated for my age but it is my passion. When texting these lines things are very bad. I have never talked to a mathematician. I'm happy to hear from you and wish you a good day. I don't speak English so I have to use google translate. I don't know where to go? . I wish you a happy day with the best numbers in the world that I dream of being able to understand. Math is love❤️❤️❤️
Not a mathematician but I have been watching your interviews with mathematicians. Very interesting! Good luck with your career!
I know some people wouldn't find surprising that the natural numbers and the rationals have the same amount of elements because they would say "yeah both have infinitely many". That's when you show them that there are more real numbers than rational numbers hahaha
Can u explain certain stuff Miss Yakerson,
1: How does taking smash product help in computing homotopy. The defn is so not intuitive.
2. What is a cubical object in a category. I want the motivation for why A1 is used as the parameterising object in Voevodsky Motivic Stable Category. Is it because K theory is A1 stable?
3. How to get intuition for a spectra. I know its a top space and how homotopy classes of maps to these represent generalised cohomology. But what do these spaces look like. Is there any concrete example. Like say what cohomology is represneted by the Projective spaces? Or is my question vague
Hope u see it😆
This is a very good idea! Thanks to all for the short talks!
So far this is my favorite video of yours! What a nice idea. I would love to see some more examples of what mathematicians deem beautiful.
I haven't watched a lot of your interviews yet so please forgive me if you're already doing it, but maybe you could ask your guests for a piece of math they deem beautiful!
For me, beauty in math is when a simple question has an unexpected answer that seems unrelated to the original question.
I didn't know in some places a sheaf was called "gavilla" (my native language is spanish and had never heard that word). In Spain we call it "haz", which is more similar to the word "bundle".
The geometric proof at 24:15 is quite cool
No analysis :(
it is fun.
We all need an interview with JACOB LURIE:) Is it possible for you?
keep in mind that most people I asked didn't agree to make an interview
@@math-life-balance oh ok! btw I LOVE your channel very much!
Is the animal at the end the evolution of the turtle? ;)
it's a math hare who lives next to the institute! I strongly regret not making a video of it jumping around, mainly due to meeting it at night