@mostafatouny8411

As an Egyptian student, residing in Egypt, These open-access resources are my sole portal to know what people around the world are doing. Thank you.

@Ma1ne2

Please never stop posting this kind of videos for each scientific discipline at the end of the year. They're so good!

@pricesainterneta8178

paul erdos is the most consistent side character in the math universe

@ivanleon6164

imagine Tao saying you made a very impressive achievement, that is peak.

@QuantaScienceChannel

We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an 800-page proof of the so-called geometric Langlands conjecture. Read about more math breakthroughs from this year at Quanta Magazine: https://www.quantamagazine.org/the-year-in-math-20241216/

@Wheezy_calyx

I look forward to these videos every year!

@totsamykotory

That's funny that Quanta just had no time to prepare for the moving sofa problem solution that came in late november
Actually the biggest breakthrough of the year in my opinion

@xvegitto

This channel always delivers with great videos, always look forward to the end of year compilations, thanks to all the team for the great presentations, I always love the graphics as they help in the understating of often very complex subjects.❤

@imperialdragon111

Sphere Packing:
- 2D optimal: *honeycomb*
- 3D optimal: *pyramid (74.05%)*
- Higher dimensions: *random beats ordered*
- Proof: geometry→graphs→*Rödl nibble*

Arithmetic Progressions:
- Core: *max set size pre-pattern emergence*
- Advance: *3 students improved bounds*
- Impact: *technique generalizes*

Geometric Langlands:
- Core: *math unification via Fourier*
- Proof: *eigensheaves + fundamental group reps*
- Key: *Poincaré sheaf = complete container*

@moumous87

More on the Langland proof breakthrough!!!!

@snappycattimesten

As someone who struggled with fractions, I am amazed and the mathematical talent of mathematicians.

@tanmayshukla7339

2023's breakthrough video feels like just yesterday :(

@tetrabot7713

Best time of the year

@emilev2134

Le vidéo que j'attends toute l'année! Merci Quanta Magazine, j'en prendrais pendant des heures!

@brunoalejandroandrades354

Marcelinho and Julian being in two consecutive years on the quanta recap is so iconic

@CaseyCleo

1:24 From the explorer to the mathematician to the astronomer to my iphone! 
Things ESCALATED quickly😂😂

@EneldoSancocho

We are in hard times for math progress.
I myself discovered a few marvelous results, only to find they were already discovered hundreds of years before I was even born.
I'm afraid that math is getting harder faster than we are getting smarter.

@singkamachinao4068

As A high school student i hear often bout Great past mathemticians (In classes n YT videos) but i rarely hear bout any great modern Mathematicians or breakthrough which made me unconsiously assume tht Mathematics and Science had ripened and there are very little progress tht can be made and it's not worth dedicating time over it. But I do love the subject and aspire to be one great mathematician myself oneday
Which is y I desperately needed videos like this
Thanks❤

@PM-fs2eg

I understand maybe 5% of this, but I still stayed and actually enjoyed watching it. Amazing how smart these young mathematicians are.

@AngelRodriguez-qg5zq

It is an excellent way to end the year, seeing great advances in different fields of knowledge.👍🏻