A note to viewers: We're taking a break from producing our "Biggest Breakthroughs in Physics" and "Biggest Breakthroughs in Biology" videos this year, but you can read our curated lists for these topics, plus a summary of computer science breakthroughs, at our magazine website: www.quantamagazine.org/tag/2022-in-review/ We’ll be back with more videos in 2023, including a full set of "Biggest Breakthroughs" videos. Correction: An earlier version of this video incorrectly suggested that Vogt and Larson solved the Brill-Noether theorem and has been deleted. Instead, the couple solved the interpolation problem. This video more accurately reflects what they proved. We regret the error.

@primenumberbuster404

Жыл бұрын

Now it makes sense. It's awesome that you really deleted the earlier video. Some people don't do it. Massive respect for that.

@aramesh428

Жыл бұрын

That's ok, sometimes Christmas presents get delayed until after the holidays 🙂

@andreray6562

Жыл бұрын

Ahh I see. Fantastic math video here. I applied for your Video Producer position I'd love to help bring those other videos to life!

@sherlockmaverick

Жыл бұрын

Amazing! BTW, this is a reupload, right? I remember watching this more than a day ago!

@jameschen2308

Жыл бұрын

I was about to say. I swear I saw this video uploaded yesterday

I appreciate the efforts in trying to make these heavily technical subjects reachable to the general public. Kudos to y'all :⁠-⁠)

@simonlinser8286

Жыл бұрын

i enjoy watching these subjects but if they didn't explain it this way i wouldn't know why it was important that these strides are being made.

@soheil5710

Жыл бұрын

@@simonlinser8286 I honestly still don't know

I'm happy for that math nerd couple. What a story it will be to their kids. "We met trying to solve the interpolation problem of advanced mathematics". Ahh, so sweet.

@stefevr

Жыл бұрын

they actually named their kid Interpolation Problem

@Somebodyherefornow

Жыл бұрын

@@stefevr " I hate you"

@stefevr

Жыл бұрын

@@Somebodyherefornow "thanks"

@slashtab

Жыл бұрын

The way she said "well! we got married.."

@flyingspinners1

Жыл бұрын

@@stefevr atleast the child will get the big brain math genes

Thank god somebody likes math so I don't have to think about it and we can still advance as a society.

@vaisakhkm783

Жыл бұрын

ikr

@HilbertXVI

Жыл бұрын

If you don't like it you haven't been taught math right, unfortunately

@ethanzheng1368

Жыл бұрын

@@HilbertXVI 🤓

@hello-hb1ll

Жыл бұрын

@@ethanzheng1368 he's right. "Nerd" is just a compliment

@Max-jm6md

Жыл бұрын

@@HilbertXVI what evidence suggests everyone is keen on learning math if "taught properly?" we're all unique and complicated individuals with different interests.

I feel like a caveman compared to these smart guys. Keep up the good work!

@akshatgupta8898

Жыл бұрын

right me tooo

@resiliencewithin

Жыл бұрын

Thanks for sharing your feelings on the comment section.

@CSTEnjoyer

Жыл бұрын

That is because we are. Mathematicians are a species of their own

@fragileomniscience7647

Жыл бұрын

@@CSTEnjoyer Sure about that? The significant things that truly distinguish them are their imagination and building on abstraction moreso than mere language offers, via fully blown logic.

@CSTEnjoyer

Жыл бұрын

@@fragileomniscience7647 there's a reason why almost all mathmaticians are kinda "weird" people. What they lack in social skills, they have in IQ.

Was just telling my friend I don't even pay attention to who won the Nobel anymore, I just watch the Quanta biggest breakthroughs in X each year... feels more cutting edge, inclusive, and not just a friend of a friend... genuinely the new things that should excite me. And y'all do a great job making it understandable.

It's realy amazing seeing young mathematicians doing big discoveries 👏👏👏

@DrRiq

Жыл бұрын

as well as big mathematicians doing young discoveries! 👏👏👏

@Nat-oj2uc

Жыл бұрын

Not really would be more surprising if they were old

@DrRiq

Жыл бұрын

@@Nat-oj2uc i was being dumb for the sake of the funny

are you guys gonna do a “2022 a year in physics” and “a year in biology” like you did for 2021? i really liked both videos and would love to see how we’ve improved this past year

@artieschmidt3039

Жыл бұрын

They explained in the pinned comment that they will not do it

Networks, bubbles, and curves.. never realized how technical and deep these can be.. kind of like chess, simple to grasp the basics but takes a lifetime to master

@perseusgeorgiadis7821

Жыл бұрын

The most complex problems, often have very simple rules. Try proving that each even number bigger than 2 can be written as the sum of two primes…

@neville132bbk

10 ай бұрын

I'm sure there are 13 *n possible opening plays in Bridge..... whenever I am on lead... the possibilities seem limitless :-) where n must be > 13.......

wheh the guy spoke, i didnt expect this to be his voice. amazing accomplishment regardless

The best part of these videos is hearing the struggles and challenges and how they were overcome. Please continue these types of inquiry!

Quanta Magazine should start a special category for Chemistry too!!!

@EMC273

Жыл бұрын

I agree

@zinzhao8231

Жыл бұрын

Hell no

@DariusTheClairvoyant

Жыл бұрын

Fuck chemistry

@astroid-ws4py

Жыл бұрын

Only if it is Computational Chemistry !

@Fonsecaj89

Жыл бұрын

I’m ok thinking that chemistry is plain magic

I love these videos at the end of the year. I always look forward to all the different topics of science.

Thanks to the Simon Foundation for highlighting and maybe even fueling such fundamental discoveries!

I probably got this video because I was interested in another video on splines by Freya Holmér. She has the most in-depth videos on the topic, and they are beautifully animated too!

@vascomarques637

Жыл бұрын

we stan freya holmér

@xylh5085

Жыл бұрын

Thanks for the recommendation. I've played with splines before and they are very strange and interesting at first blush

@jayd2279

Жыл бұрын

@@vascomarques637 All the way!

@themannyzaur

Жыл бұрын

Ayyyyy Freya appreciator in the wild! Les goooooooooooooooo My foundation in math is very weak but I managed to catch a few things in her video

@chotai

Жыл бұрын

I just jumped here from that video

I love hearing about the progress being made in math!

Incredible! Thank you for this great video and thanks to the researchers for pushing humanity foward. Cheers

This is such detailed video making such complex topics understandable to the public! You guys are doing fantastic job! Thank you and kudos to all of you guys!

I love that these people have a chance to pursue their passions and solve these difficult problems.

I loved this video so much! Also, thank you Mr. And Mrs. Vogt! I absolutely want to learn more about their breakthrough! Heckin brilliant!

Beautifully presented and made these complex topics interesting and accessible.

Dang, talk about relationship goals. It would be pretty cool to publish a paper with your partner, let alone one so substantial. Also cheers Quanta for reuploading to correct the error in the original. It was a small one but the commitment to accuracy is much appreciated.

Fascinating stuff!!!! I admire and respect the individuals who tackle such beautiful problems. I wish I could be on that level.

Amazed by the enthusiasm and determination of researchers. Great video, well presented

3:21 at first it's just sus, but then it turns into something even more SUS

@yotams6168

Жыл бұрын

LOL STOOOOOOOOOOP

@swaree

Жыл бұрын

came to the comments to say just that

@clawed_xo

Жыл бұрын

"They were able to get something simple enough that they can attack with their bare hands." Surely🗿

@berliansuryani1401

Жыл бұрын

Certified sussy^2 baka moment

Amazing video! Please do more of these.

Truly mind blown by the brilliance and determination of these people.

Math is the most fundamental and important science. The advancements in other fields often depend on how advanced we are in math. Respect to those people. Hypothesis is easy. Actually shutting up and proving it that's what is hard

i am nowhere near proficient enough in mathematics to understand these problems in depth, but i remember watching a couple lectures by jinyoung park earlier this year and being mystified by the subject matter and enjoying her lecture style! would love to understand all these questions more intimately

You have no idea how long I look forward to these videos

Thank you for bringing attention to the people who are the least appreciated but most impactful.

Really, naturally interesting - thank you!

I have no idea on what I just watched, but it sounds like a really hard topic and to grasp. Kudos to all of the mathematician out there doing their best to solve a problem that could in turn help humanity. Your sacrifice will not be forgotten.

Please keep this series, and the series on breakthroughs in physics and biology, going forever.

love these videos every year - people are so damn smart!

thank for providing amazing knowledge and introducing the real heroes of human progress

I was waiting for this!!

Thank you for making this!

This video has way less views for its quality of content even though it's just a day old. Keep up your amazing work!

Nice! The graph solution of the last guys might combine nicely with the Wolfram physics model...

Great video, and congratulations to these researchers!

These 2 young ppl are realy inspiring Love them

Exceptional chanel, great insights with wonderful animation and music... Happy Christmas! 🙏👌❤️

It was very interesting. Thank you!

this is so neat! Love Math!

3:22 had me nervous for a second…

I love the video but Eric's voice caught me fully off-guard lmao

amazing work !!

These are the videos i really i appreciate come up in my algorithm

YES. SO AWESOME. Thank you mathematicians for everything. Humanity owes you everything.

It was really hard to get through the bubble bit because the images were just so gorgeous!!

In the morning I love to watch these kind of videos to boost my sleepy head, though I am only able to comprehend half of the content

This is amazing, in the best ways possible

The young couple Vogt and Larson : two nerds likely otakus who spent their leisure time studying together topology. Then they found more interesting curves and performed applied topology...

These are some epic ones!

Fantastic work

this channel is so good

I’m jealous of these people’s minds. So innovative

Big thanks for a math video

I’m interested in how much these people depend on smaller simpler pieces of math/algorithms applied iteratively using computers. This is something hinted at in wolfram’s famous/infamous book.

3:22 Woah Woah… WHAT exactly are you drawing?? 🤨

wait this is awesome. so at first i thought their theory was the same as knot theory but its actually got rules of knot theory but is more complex. so fascinating how structures build off of one another.

This is the sort of maths stuff that had we known it back then would have made it more appealing to learn about and get good at in school

Guys, read the description please lol. Edit: nevermind, now it's pinned also

Sullivan's bubble conjecture reminds me of Ptolemy's theorem.

Wow so the 2nd and 3rd both have some connection to Talagrand's work, concentration of measure, and isoperimetic inequalities if I'm following correctly? (not sure I am) That's absolutely wild. Probability is some cool stuff

Thank you

Woah, that last one is wild,

Cool stuff! Can we get youtube chapters on these videos?

That first guy's voice caught me off guard 😭😭😭😭

1:34 - They are real-life Sheldon and Amy "The big bang theory" 😂

I have no clue what they' re talking about but I still watch to the end.

I always wonder how to figure out the complex pattern of real-world network. I hope mathematicians arrange "very practical" properties of the random graph to model efficient network.

First is interesting How do find shortest route in more 2 dimensions with each point contenting each other. 👏👏👏

People don’t understand how huge a discovery this is

Is there also gonna be a physics and computer science video? :)

Being able to explain complex ideas in laymans terms is outstanding. Education is so important. Thank you🎉 to comprehend something, is advancing and evolving. I think of the universe as a watermelon. They say that the new telescopes, can see beyond the edge of the beginning of time. So your new theories are right on time.

@glitch-pr3nr

Жыл бұрын

Eve wanted knowledge, and she was criticized for it. Maybe she won't mind being criticized anymore?😅🎉

3:22 GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD

Even though I hate math but i love to see this video

Inspiring views of our world

Me: "They look like a couple, are we sure they are not dating? " 1:35 : "We got married" Me: "Oh😅"

these people are so freaking cool, i wish i was in that loop

Oh! I didn't expect that voice. Btw great people 🙇🏻‍♂️

Brilliant ❤❤❤🎉

I dont understand a word they said but i am greatfull for it, wish i could also understand

can you do 2022's Biggest Breakthroughs neurology/ medicine. please and thank you

@kangaroo1q

Жыл бұрын

Wow you read about neurology interesting

@viewer9999

Жыл бұрын

it's not what you think .

It seems like a mathmetician, would also be a good artist, with such a mind for solving perspective.

clusters of Sullivan's shadow bubbles is definitely a dnd spell

Woah went that dude with the headphones smiles I had to stop the video and make sure they wasn't fake prank teeth. Ahhh dude got me 🤣

Thankyou for putting energy in maths♾️☯️🌈

@sulltancena7613

Жыл бұрын

Nah I don't like gay

Can anyone explain why solving the interpolation problem can improve data storage? Where can I read more on this?

@hedgechasing

Жыл бұрын

I think the rough idea is that if you can capture all the points on a single curve, storing just the data you need to create the curve could allow you to recreate all the points. Like if I want to remember the numbers 5 6 7 8 9 I can just remember that there are 5 of them and they increase stepwise from 5 which is simpler than storing all five of them (especially as the number of points increases). I am not sure this is correct and I am not sure where you can find out more, but this seems like the intuitive reason it might be useful for that process.

@marcelcoetzee48

Жыл бұрын

@@hedgechasing incredible. Thank you

@leonmozambique533

Жыл бұрын

they can also be used for error correction. Look up “Reed Solomon codes”

@maxmuller445

Жыл бұрын

@@leonmozambique533 Yes, compression and correction always walk hand in hand.

@kindlin

Жыл бұрын

@Black Screen That's an approximation tho, this is dealing with exacts. I think hedge has a good handle on what's happening here.

I hate myself for never being able to advance the world of maths

Watching this I understood that I understood nothing at all except for the part that the couple married and the part where the optimal surface of spheres{?, don't know what to refer by} are just one so thus can be calculated by adding a dimension(?) symmetry(?) and just my imagining the spheres in a bubbles as a point where circles can emerge from to then collide and the circles can be imagined as spheres as well giving you the best optimal surface for multiple number of spheres trying to stick and find the optimal surface area. That's some crazy shiit. I wish I had the opportunity of free schools and universities allowing you to study as much as you want. That would be nice.

I see what you've done here at 3:23 😉

What is the functional purpose of the 2nd and 3rd breakthrough?

All of the mathematicians may not know other ones in this video but, There is a person in this video who now knows solutions of all three problems , The narrator: Thomas Hagena

3:20 - That's really cool. I was working on something similar as an analogue for chemical potential or quantum effects in a crystal (interior conditions vs boundary with electron, uv, x-ray, infra red subsurface scattering...) I was using groups of curves within a grid of connecting nodes/points. I assumed spline rules and tangency to fill each cell. I started coming across repeating patters that might equate to electron valences or the formation of atoms. Your friend looks like he can understand something valuable. I hope it was worth it. You got your 'break" around the time I posted. I recognize my own work... Free will isn't free if you control their perception. A blinded horse, for example...

@kangaroo1q

Жыл бұрын

Which job you do?

@matttzzz2

Жыл бұрын

@@kangaroo1q hand

1. Ability to predict holes, degrees, and dimensions. 2. Ability to get largest volume in bubbles with least surface area 3. Ability to find thresholds in networks. khan-kalai conjectures

Wow the buble problem can lead to major improvments in Pharmacy and drug design

Amazing