Champaign Mathematician (with Holly Krieger) - Numberphile Podcast

[@peujohn504]

"why would anyone wanna hear that stuff from a mathematician?" I'm a truck driver in Australia and fascinated to hear the stories recounted in the Numberphile podcasts! Great work Brady and thanks for your contributions Holly

[@dineshyadav9437]

47 क 61कसर

[@mihailmilev9909]

aw how wholesome

[@mihailmilev9909]

How r u doing these days?

[@elementalsheep2672]

Holly's voice is very soothing, I already love this episode.

[@20oddyears]

Major take home message: this is why the American university system is superior. Students can try different things before choosing a major. Great story.

[@wierdalien1]

@@20oddyears sort of.

[@markdisanzo3796]

She's got a wonderful laugh.

[@andrew7taylor]

@@20oddyears Why, you don't get to try different things in the US before you go to university in the first place? You can change your major in Europe too. Not sure how that would be a feature of only US higher education.

[@vikineo]

Such a clear sentence structure with no unnecessary fillers when holly speaks. Brady’s too. Such a delight to hear you both talking, thank you for this.

[@neutrino5695]

This is my favorite podcast. It's just great that there is a podcast interviewing mathematicians and asks them about their life/journey.

[@Lukoro1357]

We're hitting meta levels that shouldn't be possible

[@rq4740]

Nice pfp

[@mphayes98]

Watching this from my room in... Champaign, Illinois!! Small world!!

[@ericsmith1801]

I attended the Air Force technical school a few miles away.

[@palashsashittal8849]

me too! I am a student.

[@mphayes98]

@@palashsashittal8849 same here, and I grew up an hour to the northwest in Normal

[@MrBlarg711]

Watching this from Champaign in Illini Hall (Dept of Statistics, not Math). Long time Numberphile, but didn't realize Holly was from here!

[@aelxkethdam8491]

Brady You're an amazing Interviewer.

[@amirzargari4716]

Love Holly and her laughter. What a brilliant girl.

[@benterrell9139]

Great interview. Enormous fun to listen to this podcast.

[@donmoore7785]

Most excellent interview. I could listen to Dr. Holly for hours. She speaks clearly and concisely, and is so bubbly and cheerful. The visuals are very pleasant - dynamic and fluid, yet not as enjoyable as looking at Dr. H.

[@2Cerealbox]

I'm digging the fractal background instead of the simple kaleidascope.

[@Rubrickety]

It's also fun to look away and watch the rest of your computer screen bulge or shrink for a few seconds.

[@gamplie]

"THEY JUST MAKE ALL THAT STUFF UP!"

[@jakub3412]

This is exactly how I think about psychology and all humanity fields.

[@accp8463]

They totally do

[@chattyw87]

Take a shot when she giggles.

[@Ken.-]

Not enough alcohol around.

[@jackschitt1709]

Only Polish folk can drink that much 😁

[@baoboumusic]

The giggling itself is enough to make you drunk. I love it.

[@alikazerani]

Man, you're going to have blood on your hands over this advice. 😛

[@thej3799]

@@jackschitt1709 🤫

[@calebritchie1069]

As a musician, extremely interested in maths, I love this kind of interview, and really appreciated Krieger’s thoughts on art and math.

[@Daniel-vu7pi]

What a great podcast =) I find Holly's personality so great

[@hokie333]

Anytime I see a fractal zoom like this, I wonder: Assume the initial MandelBug is a foot long, at what point in the zoom do we reach the Planck Length?

[@Confuseddave]

So, as a ballpark, Planck length is about 10^-35 metres. There's a rule of thumb that 10^3 is about 2^10 give or take, so the scale would have to double about 116 times to go from the order of a metre (or a foot - the error in this calculation makes the difference moot). By eye, it looks like when it's zooming fast, the scale is doubling every second or so, so if that's right it would take about two minutes to go from macroscopic to the scale of the Planck length. You plug the scale into the software, so you could say precisely if you were making the animation. There are some deep zoom videos which show the zoom scale in the corner as the animation runs, again ~2^-116 is the scale you're looking for.

[@FlyingSavannahs]

Holly, you are as rare as an even prime. You're laugh a window to your joy! In my education and career in physics and math, and in parenting young girls, I have nothing but the highest esteem for any woman who can overcome the endless negative reinforcement encountered in pursuing a STEM career. It shouldn't be this way. I totally cracked up when I first heard you say 'zed' in another video. I'm like, homegirl say whuuuuttt?

[@Porglit]

21:51 and 28:47 flashes "Media offline" in 10 languages on the screen for 1 frame

[@celadon2048]

Y tho

[@TrumpeterOnFire]

Holly is a hoot. I love it. Thanks for this Brady.

[@xbzq]

Parallel lines have so much in common, it's a shame they're never gonna meet.

[@e11eohe11e]

"Or is it more sad to be intersecting lines that meet only once and never meet again?"

[@ericsmith1801]

@@e11eohe11e --- But if it's intersecting sine waves, they keep intersecting forever :)

[@pendragon7600]

It's a shame you don't just use elliptic geometry

[@kwanarchive]

@@ericsmith1801 But it gets repetitive after a while.

[@thej3799]

@@kwanarchive stop eating your tail man

[@tgwnn]

I'm a postdoc and this hit me quite hard (around the 20 minute mark). I like how upfront Holly is about how messed up it can get rather than just shrugging it off.

[@tgwnn]

@MichaelKingsfordGray ha ha. In my defence, I chose it when I was about 12, so definitely infantile. :)

[@tgwnn]

@MichaelKingsfordGray no, I've been using it in random websites for much longer than that. anyway I already agreed, I'm infantile, what else do you need?

[@XBrainstoneX]

@@tgwnn Hey tgwnn, you should visit Technical Uni Graz. Here, we do not judge our coworkers based on decisions, which are a.) private matter b.) made in their past c.) aligned with standard internet etiquette since the founding days of the internet. Greetings ;)

[@tgwnn]

@@XBrainstoneX ha ha I will I guess! I'm based in Germany.

[@XBrainstoneX]

@@tgwnn Oh very nice :) I did my master's in Germany, KIT Karlsruhe. I can also really recommend this place, there is a big student's culture there

[@Macieks300]

really wanted to hear Dr Krieger sing :)

[@fbwthe6]

What an absolutely refreshing interview. You two are brilliant together.

[@AFFarms444]

I love this interview. It’s refreshing to see and hear a “normal” mathematician. So human if you will. Perhaps it has everything to do with my own experiences with professors. I still love math irrespective of those experiences. Thank you.

[@robertstorlind2302]

Great interview! Thanks to both of you

[@moustholmes]

If anyone is curious what the text said at 21:50 it's simply said media offline in 10 different languages

[@aurigo_tech]

This is high quality podcasting, Brady. Dr Krieger (a true "warriors" name btw :)) is an excellent guest. Actually I found the podcast a bit to short, an hour or even two would be great, as most people you interviewed had so much more to tell and I do enjoy those stories.

[@MotoLen51]

What a great episode! Thanks Holly.

[@HebaruSan]

What number in the complex plane were we zooming in on?

[@EnginAtik]

HebaruSan Isn’t this what Bolzano-Weierstrass theorem about?

[@HebaruSan]

@@EnginAtik Never heard of it, but it doesn't look related to my question. What exactly did you have in mind?

[@ffferreira.2001]

@@HebaruSan It isn't XD

[@artswri]

Some of us see more beauty in math than in a lot of 'fine art'. Hearing the joy and passion that you (both) have for math and research in similar veins was very uplifting to me. Please, both of you, keep on in your work and quests. You are having positive effects on more people than you can imagine. (and what lucky students to have Dr K as teacher and mentor!)

[@thej3799]

I hope 🙏 you're right, Imposter syndrome is real.

[@Ken.-]

Just pause the video and it will keep moving. So trippy. (Saves on bandwidth too.)

[@yubullyme2884]

This is trippy. It was oddly satisfying watching the video while listening to you two too.

[@smoorej]

How is it possible for someone with a PhD in mathematics to be so nice, easygoing and personable? She sounds completely normal.

[@UncleKennysPlace]

Watch anything with Richard Feynman.

[@WhosBean]

It's almost as if mathematicians are people.

[@thej3799]

@@WhosBean 😍

[@GrayBlood1331]

I had to stop watching the fractal zoom because I started hyperventilating.

[@jeremyslather]

Omg... Hope you feel better...

[@henrypostulart]

It was giving me a headache.

[@redaabakhti768]

Thats only because your blood is gray

[@kcox669live]

It made me wonder why Holly needs to blatantly hit on me in every vid.

[@thelastcipher9135]

I went from civil engineering to mechatronics to psychology and now math(s) due to similar reasons lol. Love the very incisive questions, Brady! Thanks!

[@JWentu]

very very interesting and deeply insightful. thank you so much!

[@RichardButt]

7:37 Holly's reason for sticking with Italian. Easy youtube quip. 😂 But anyway, great episode. I wish we could've heard more about life as an American in the UK.

[@bane937]

i giggled with her lol 😂

[@yanair2091]

Really nice interview, Holly is great gal. I wish they continued talking more about similarity between arts and maths @ 37:04. But I enjoyed nevertheless.

[@samarthchirania3261]

Hello Internet ft. Holly Krieger? Yes please!

[@pradhyumnchoudhary7383]

Holly gives me vibes of Amy Adams

[@wierdalien1]

Only vibes

[@stevenhernandez8966]

Could've done well in the movie Arrival...

[@Depressed_Dinosaur]

This is an excellent Christmas present Brady - thanks!

[@MrAlRats]

Research in Mathematics, Astronomy/Cosmology, Particle physics/nuclear physics, etc. are far more important than any medical research or any other job that deals with human issues. There would be no point in living longer or having a comfortable life without the opportunity for enlightenment.

[@majak.t.135]

Holly Warrior ! Great stuff - Thank you both !!! :) :) :) I have just discovered you and was binging on videos last ...few hours , it seams ! :) :) :)

[@WadelDee]

If you pause at 21:51 and 28:47 it says "Media offline". Does this mean that you made this animation with DaVinci Resolve?

[@tassiehandyman3090]

When I was a student, I changed courses twice in the space of a year. I bumped into a mate in the pub at Christmas, and his first question was "So, what degree are you doing this week...?" 👍

[@Cre8tvMG]

Great interview. Holly is so happy all the time. Classic nice American lady.

[@Rubrickety]

I thought there was some funny easter egg at 21:51, keying off the "nicer office than more senior mathmeticians" line, but sadly it's just a "Media Offline" error message; a glitch in the Mandelbrot render, I guess.

[@ZeedijkMike]

Did I just see some text? Or was my eyes playing a trick on me? Did I smoke the wrong tobacco? Now I know. Thanks for the clarification.

[@alangrant5278]

I was in the school bands and orchestras and was a math geek. Pretty sure the mind that likes structure likes music structure too. Holly is very lovely. Oh yeah.

[@gregmcmurphy8241]

Is this visualization sequence available separately?

[@senpie-i1f]

watching this from my champaign apartment at uiuc have my statmech final today in 4 hours wish me luck

[@ag3575]

What a great interview!

[@DavidMFChapman]

This was entirely enjoyable to listen to.

[@CommanderdMtllca]

Woah my family is from the Champaign-Urbana area and all went to SIU!

[@stevenhernandez8966]

Your videos on the Mandelbrot were very helpful!

[@ThreeLeftOverCrest]

this woman's resume is out of this world

[@stevenhernandez8966]

For what it is worth, Holly, I've used what I've learned of the Mandelbrot Set and applied it to my studies in Christian theology! It has help me understand my faith better and I'm using it in a Master's Thesis on theology!

[@jonathanfarley2023]

I believe "Flatland: A Romance in Many Dimensions" may in fact be a Christian allegory.

[@austynhughes134]

Another fantastic podcast! This may be the best one yet.

[@rustycherkas8229]

When they're talking about 'Zee/Zed', 'Mobile/Cell': Why do I get a inverse image of 'Colin' arriving in Wisconsin in the movie "Love Actually"??? Anyone?? :-)

[@Mikeyboi699]

8:55 the classic Bolzano-Weierstrass theorem

[@imadearisantojonathan9549]

Please make another episode with Holly

[@prayforpeacenow]

Beautiful imagery Brady!

[@ChrisInTheNorth]

I'd be interested to know how much time does one spend as a research Mathematician reading the work of other mathematicians in ones field

[@sam111880]

Each bound sequence in R^n has a convergent subsequence. The best feeling is teaching cool math topics to others more so then standardized course. Don't get me wrong standard course are more important

[@Phoebus82]

Her laugh and voice is so nice 🌹

[@KindredKin]

Media offline 28:47

[@dominiquelaurain6427]

Nicely said :-) Holly and Brady, you are very good at podcast and math s/z....and I need a video explaining "arithmetic dynamics" , orbits in rational functions degree 3 :-) (not degree 2, the quadratic case)

[@billclinton6040]

Listening to this makes me wonder if I have the nascent mind of a mathematician because whenever I watch one of Brady's videos, I often find myself pondering the question of whether or not what the mathematician is demonstrating is a feature of our base-10 computations and holds in other bases, especially transcendental ones like e and pi. Of course, I am certain this question was settled by mathematicians decades, if not hundreds of years, ago, but nevertheless, I like pondering the features of unusual bases, working out examples, and even trying to discover unusual things.

[@phugoidmode9683]

Cool. I grew up in Urbana and studied engineering at the U of I.

[@Nobody_Special310]

I was expecting him to say, "Holly's an American mathematician... but we won't hold that against her."

[@AbdulrahmanMajash]

Really interesting contrast to the previous episode, While the previous one was fascinating, this one felt more relatable and grounded Both are interesting nonetheless! Also made me appreciate more how good Brady is at interviewing

[@WPWolfe]

All right, it's been 2 years... Where's the promised new interview??

[@ThePharphis]

Good podcast as usual

[@anuppokhrel2357]

Can't podcasts be downloaded?

[@JMUDoc]

Brady - wherever did you find a Mandelbrot zoom on _KZbin?_

[@yoyartube]

Can you ask Holly how to calculate solutions for z^2 + c at extreme zoom levels, beyond which floating point precision in computers is no longer accurate; how can the calculation be optimized? Are estimations of (ie. close enough) solutions ever used for this?

[@SmileyMPV]

just do not use standard or double floating point precision, but use variable precision floating point numbers, such as the Python decimal library docs.python.org/2/library/decimal.html

[@thej3799]

If I remember long mode did combine two 32.. that's why 64bit wasn't faster but I suppose you could 64 64 but you would waste cycles

[@e-sharp9366]

I've been watching that fractal thing for a few minutes and now my vision is all distorted. Things are getting endlessly bigger. This is witchcraft !

[@HairbearTE]

I had to open another window to make it go away!

[@ColHogan-bu2xq]

When Holly says "psycs" make up their stuff, I thought it was one of the most courageous - and true - lines I've ever heard.

[@plaustrarius]

@7:27 "...something more valuable - Italian!" would not have expected that 0_o

[@brendawilliams8062]

5/7. Will keep you there a lifetime.

[@HaraldRevery]

7:00 true XD

[@gepmrk]

Yeah so stare at the visual as it's moving in for a while and then look at an object near you - like the cup of coffee sitting on your desk - and watch it 'move away' from you.

[@H2Obsession]

Or watch the video for 2 minutes and then hit pause... the image will 'invert'! For example appear to shrink if it was previously growing. Now I wish I had some drugs to enhance the experience...

[@michaelbauers8800]

Champaign supernova.

[@JC-zw9vs]

Superb. +1 for this.

[@derekfrost8991]

I thought the fractal would eventually zoom in on Holly Krieger's house.. 😂

[@gauravbharwan6377]

I need this mandelbrot animations

[@wktodd]

Weird! found myself staring at the zooming Mandlebrot for several minutes while listening to Holly , now everything is receding 0o...

[@Guust_Flater]

@16:38

[@justpaulo]

I was going to leave, but the fractal just held me here ...

[@yanair2091]

..held me here.

[@justpaulo]

@@yanair2091 Thanks, I'm going to correct it. English is my second language...

[@InsideInterpreting]

Any other researchers who would love to be interviewed by Brady?

[@accountname1047]

21:51 MEDIA OFFLINE

[@markstephens1189]

mappQph

[@calebgrassi7494]

21:51 I caught this gazing into the void

[@ericsmith1801]

Pushing the envelope is what it's about, even if you are not a phd mathematician :)

[@laurihei]

I like how the first time it starts zooming out is at the exact moment when she speaks about using z as a variable 😄 (which commonly is denoted as the third variable in Cartesian coordinate system for three-dimensions (and also just 'z' for 'zoom' (I know I'm reading way too deeply into this 😂)))

[@HebaruSan]

'z' is also used to represent the iterated complex number while calculating a pixel of the Mandelbrot set, appropriately enough. z = z*z + c

[@laurihei]

@@HebaruSan Nice! 😄

[@alikazerani]

@@HebaruSan I think z is just the usual default symbol folks use for a complex variable (not just for Mandelbrot-building purposes), the way x is for a real variable. (Correct me if I'm wrong, folks!)

[@hardlyb]

Interesting. I was almost the opposite, deciding I wanted to be a mathematician at 7 (though I had no idea what that meant, of course). Some of my family worried because I took almost nothing but math in college, but I ignored them. I can really relate to the "finally understanding something" feeling. Fortunately, I had that happen at 5 when my mother explained why there were an infinite number of integers, so I kept seeking it out and realized it came from math.

[@WadelDee]

I heard somewhere that Psychology has improved significantly worldwide in the last 10-20 years. They said that they no longer make stuff up but that they now have a consensus and they have clear answers to what is right and what is wrong.

[@fewwiggle]

Was that comment tongue in cheek?

[@WadelDee]

@@fewwiggle No.

[@fewwiggle]

@@WadelDee Well, I'm a bit skeptical despite "They said"

[@HandgunSafe]

Prof. Krieger, if you ever read this I'd like to say my experience in earning a degree in psychology was the same one you had--only you got out and I finished. A whole lot of psychology is made up. The methodological approaches to putting studies together are often fundamentally flawed, so much so that you can dig into most psychological studies, rip the underlying methodology apart, and effectively invalidate the remaining effort. I was massively disappointed.

[@youtubier2839]

this interview needs video image so so bad!!!! i mean come on!!! seriously no video??

[@donmoore7785]

Why? Holly's personality and message come through thoroughly. It sounds like she is right here in the room with me - if you have seen any of the many videos of her here - you should be able to clearly visualize her face in your mind.

[@yanair2091]

@@donmoore7785 I think he is complaining because it's nearly impossible to concentrate on interview while there is the deep Mandelbrot trip on screen.

[@Aaron-ou5mw]

Yan Air the idea of a podcast is to not have to look at the video playing as it is mostly audio based, and you can always just not look at the video, so I doubt that the comment is about the video being trippy

[@brendawilliams8062]

You cannot get a computer without Mandelbrot tied to the format.

[@WPWolfe]

???

[@geonerd]

That's a hell of a zoom!

[@davidwilkie9551]

So, the e-Pi-i Principle "makes up" this Universe, and you're right, we shouldn't believe everything you see and hear without "doing the Math".

[@peterjensen6844]

Holly - you can tell that you're a singer simply by how you enunciate your words.

[@alexandterfst6532]

why portugueses subtitles for a video in english ??????