Thank you so very much for producing and uploading these lessons on Number Theory. I've spent countless hours online trying to study different subjects from the higher maths through various sources independently and many attempts of reading some of the higher level proofs to little avail. After completing this series the thing that amazes me is just how convinced you could be that you understand something without truly grasping the depth of knowledge behind it. Heavily nuanced modular congruences and the unintuitive link they have to cyclotomic characters and reduced forms over a CM field was something you seamlessly outlined leading up to their final integration in the theory/s of zeta functions and Dirichlet series. And the sketches at the end of proofs to some of the deeper concepts of number theory gave the lectures an indelible weight beyond their often entertaining but relatively ”detached“ prime corollaries. There are comparatively few celebrities as it pertains to the higher maths, and many of the biggest names occur with some regularity. Your contributions on the work of others like Conway appear to have formed the pinnacle of all mathematical wisdom, a precipice I can barely gaze upon in the shadow thereof. To have the chance to "welcome you into my living room" in some sense was quite the honor 😅. I look forward to your other uploads. (Apologies if that sounded a little overenthused. But I did want to let you know that your time as well as videos are greatly appreciated.)
In case of a zombie apocalypse... 😂 The Casio CG 20 and 50 have the nice feature of being able to calculate powers modulo n. This comes in very handy when exploring the RSA or Diffie-Hellman algorithms. This is a feature I miss with the comparable TI-models.
He contributed to string theory. He got a field medal and taught math on youtube. However, he only earned $200k. UC Berkeley underrates him. Efim Zelmanov received $320k, Ian Agol got $350k, Osher got $550k, and Terry Tao got more than $600k. What is the difference between Richard and these people?🤔
Same reason why some athlete gets 50M or hedge fund financial terrorist gets 500M. It's called capitalism. It's not how much you contribute to society but how much you destroy it.
That represents lower technology in calculators than in other countries due to the US's worst level of math education. LCM and GCD is learned in elementary school in other countries.
Excellent channel, all levels of math, for reviewing and learning
Thank you so very much for producing and uploading these lessons on Number Theory. I've spent countless hours online trying to study different subjects from the higher maths through various sources independently and many attempts of reading some of the higher level proofs to little avail. After completing this series the thing that amazes me is just how convinced you could be that you understand something without truly grasping the depth of knowledge behind it. Heavily nuanced modular congruences and the unintuitive link they have to cyclotomic characters and reduced forms over a CM field was something you seamlessly outlined leading up to their final integration in the theory/s of zeta functions and Dirichlet series. And the sketches at the end of proofs to some of the deeper concepts of number theory gave the lectures an indelible weight beyond their often entertaining but relatively ”detached“ prime corollaries. There are comparatively few celebrities as it pertains to the higher maths, and many of the biggest names occur with some regularity. Your contributions on the work of others like Conway appear to have formed the pinnacle of all mathematical wisdom, a precipice I can barely gaze upon in the shadow thereof. To have the chance to "welcome you into my living room" in some sense was quite the honor 😅. I look forward to your other uploads.
(Apologies if that sounded a little overenthused. But I did want to let you know that your time as well as videos are greatly appreciated.)
Another gem of the lectures is British humor
Except for the fact that Dr. Borcherds is originally from South Africa and currently resides in California lol
@@LillianRyanUhl ha well I'd say it is all up to the formation years :)
@@andrewxiwu a very good point hah
I thought he was Dutch?
@@robertforster8984 : en.wikipedia.org/wiki/Richard_Borcherds Did I miss anything?
come back richard we miss you
When that first one successfully performed *and displayed* the power of a power it instantly blew away every calculator I've ever owned. For
Dear Sir. Can we expect new lectures?
I like the burner calculator and I enjoy these lectures, thanks.
i bring my burner calculator when i meet up with my dealer to make sure that i get the right change
😂
In case of a zombie apocalypse... 😂
The Casio CG 20 and 50 have the nice feature of being able to calculate powers modulo n. This comes in very handy when exploring the RSA or Diffie-Hellman algorithms.
This is a feature I miss with the comparable TI-models.
Thank you Professor!
We miss the lectures professor
Bezouts theorem in action?
I think there is a comment under a video, that there will be a course on algebraic number theory with Mr. Borcherds here. I am looking forward to it!
Noooo
@@lugia8888 Why no?
Where is this comment?
thanks for the recommendation RUclips
Where are you, master?
professor borcherds will you consider making a course on real analysis in R^n and general metric spaces?
I was proud of my TI-89 titanium, but I could never afford an HP back then.
Still patiently waiting for more 😄
No new lectures? -:( ... ok about which topic?
Longtime no see...@luigispitlip 😎
yeeeeeeeeeeeeee
Thank you sir.
No more vids, Borchie?
He contributed to string theory. He got a field medal and taught math on youtube. However, he only earned $200k. UC Berkeley underrates him. Efim Zelmanov received $320k, Ian Agol got $350k, Osher got $550k, and Terry Tao got more than $600k. What is the difference between Richard and these people?🤔
Fairness and Academia are not things which go together in one sentence.
I am sure Richard is fine, 2*10^5$ is good money.
Same reason why some athlete gets 50M or hedge fund financial terrorist gets 500M. It's called capitalism. It's not how much you contribute to society but how much you destroy it.
9:12 Beautiful.
I wished I had a calculator that can do lcm and gcd that’ll be helpful
My calculator is cheap ☹️
That represents lower technology in calculators than in other countries due to the US's worst level of math education. LCM and GCD is learned in elementary school in other countries.
Correcting a calculator. 😎
I wish I was your student 😔😔😔
desmos
Desnuts