@lithium-sister

these long, detailed numberphile videos are rare but they're always the best

@drdeeglaze

Edward’s a master of mathematical storytelling. Great video, great author.

@uncountableuk

This is one of the great numberphile videos.   Exactly why I will be a patron for as long as Brady keeps making them

@bmenrigh

Possibly the best Numberphile video yet. I love this longer format where experts discuss huge topics.

@TheoriesofEverything

I love Edward. Thanks for having him back on. He has the mindset that most esoteric subjects in math, like what a local system is, or a Drinfeld module, can be explained simply. I think this is a fantastic frame and a necessary precondition to indeed explain simply ;).

@Zach27182

The Langlands program is absolutely fascinating! I’m so glad Brady gave it an entire hour

@alexcarlman8146

What a brilliant way to concretely elucidate an esoteric topic. He teaches it in a way a bright child could understand, with an unbridled and infectious enthusiasm. 10/10

@sinaumath

This guy is my favorite professor in Numberphile

@emmygold280

Frenkel is an extraordinary communicator and a joy to listen to. His passion for the material really comes through and you can feel that it's rubbing off on Brady.

@TwDjLsT

I've heard it all many times before... Something clicked today... I'm forced to blame you, whomever you are Mr. Frenkel, Thank you.

@yoram_snir

Watched the beginning of the Abel Prize lecture about Langlands just to realize the amazing effort that Brady is putting into the graphics. Here in this video, the graphics is so complimentary to the story. Wonderful work.

@TheLeppus28

Edward Frenkel can explain the most complex mathematical ideas in the simplest possible way which can be understood by anybody. This is a sign of highest inteligence not seen very often even among smartest people. And let's think for a moment that he does it in a language foreign to him. Which he started to use only as an adult.

@musicalmathmind

This is awesome. As a recreational math guy that loves to tinker and try to understand these complex topics, these videos are invaluable!

@Finkelthusiast

Wow an hour long with Edward Frenkel! What a treat!

@dominikrist9004

This was brilliant! Please have more of these long, detailed videos on difficult topics. Edward Frenkel is a great explainer!

@lilydog1000

Edward Frenkel is someone we need in every school.

@markzambelli

I have two points to mention...

1. I find it mesmerising that Prof. Frenkel is able to not only make eye contact with Brady but also to stare directly into his camera lens to truly connect with the audience at large... a masterclass indeed!

2. I saw the BBC Horizon documentary on Wiles' feat (circa 1993) and the visuals have always struck me... a cross between a facetted torus and a weird cathedral-esque 4-d pan of columns... this always confused me yet I see now, thanks to Prof. Frenkel's simple description of what an elliptic curve and a modular form really is, that it is really so simple a concept to grasp (an example of how, sometimes, a popular documentary using flashy imagery can be misleading(?))

Thankyou for this indepth exploration... I've learned soooooo many things🥰

@JoniKauf

An 1 hour Numberphile video? All for it :)

@Stephen_Lafferty

I was only watching Professor Frenkel's video on the Reimann Zeta Function the other day! I'm happy to see a documentary-length video with him as the subject matter expert!

@thea.igamer3958

We need more of these kinds of lectures covering different fields, their introductions, programs etc !