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Gregorious Maths
United Kingdom
Приєднався 25 гру 2019
Hi everyone ! This channel is currently aimed at ambitious undergraduates or first year postgraduates where I cover topics such as algebraic topology, differential geometry, number theory (algebraic and analytic), abstract algebra and much more. Some videos such as my old calculus videos are just fun problems I did on my channel and the point set topology and basic group and ring theory is meant for curious A-level students who want to go further in their learning and get a taste for pure mathematics at the undergraduate level. Please do not refrain from sending me problems you would like me to attempt ,however, because they are always fun and you can see how I attempted the problem you have given me. To avoid comments such as "how old are you", I'm 16 years old.
COP THE MERCH NOW: gregorious-maths.creator-spring.com/
Love,
Gregor Sanfey
COP THE MERCH NOW: gregorious-maths.creator-spring.com/
Love,
Gregor Sanfey
Maths Society: How Ideals Fix Unique Factorisation
Link to notes: www.overleaf.com/read/frthbsdyhbss#0efad1
Link to video on Gaussian integers: ua-cam.com/video/MuBOdgmPM2A/v-deo.htmlsi=pXTOl8FL10fQ8xCp
Link to video on Gaussian integers: ua-cam.com/video/MuBOdgmPM2A/v-deo.htmlsi=pXTOl8FL10fQ8xCp
Переглядів: 228
Відео
Hodge Duality in Entanglement Cohomology (Interesting Post Talk Discussion Included)
Переглядів 170Місяць тому
In this talk, I continue on from Kasra's introductory talk. Firstly, I generalise the notion of bipartite cohomology to multipartite cohomology. Then we see that the Poincare polynomials seem to be symmetric, which gives off a very Hodge scent! In this rest of the talk, we look at the analogies of the Hodge star, wedge product, inner product and harmonic forms and then combine all of those resu...
Introduction to Entanglement Cohomology by Kasra (Interesting Post Talk Discussion Included)
Переглядів 190Місяць тому
Recently Ferko, Kasra Eashan and I wrote a paper about entanglement cohomology (which was introduced by Tom Mainiero) and we found that it had very similar properties to De Rham cohomology. The paper can be found here: arxiv.org/pdf/2410.12529 ). In this talk, Kasra introduces the basic notions needed for the rest of the talks in our little series, namely he introduces what an entanglement k-fo...
Generalising the Connections Between the Golden Ratio and the Fibonacci Sequence
Переглядів 295Рік тому
Generalising the Connections Between the Golden Ratio and the Fibonacci Sequence
The Mandelbrot Set is Universal (and How to Create Your Own Fractal)
Переглядів 312Рік тому
I'd like to say a huge shoutout to Vincent and Alex for their animations. 00:00 Introduction 06:20 Julia Sets 09:09 Mandelbrot Set 14:27 Newton's Fractal 19:08 Surprising Connection 25:44 Bifurcation Locus 34:15 Another Example 37:08 The Precise Theorem (and Make Your Own Fractal) 41:52 Examples of Making Your Own Fractal
Collatz Conjecture: Arguments for and Against
Переглядів 385Рік тому
For the first week of maths society, we discussed arguments for and against the collatz conjecture. Enjoy!
How to prank your friends with mathematics: Generalising 21 dares
Переглядів 254Рік тому
Apologies for the long wait: new material is on the way!
Theorem of the Week: Hopf Invariant One Problem
Переглядів 296Рік тому
Videos mentioned: K theory talk by yours truly (holy moly how is this 2 years ago): ua-cam.com/video/rVe97vpbZU4/v-deo.html Cofibrations: ua-cam.com/video/Pjehc_VvTcM/v-deo.html
Theorem of the week: Classification of Cohomology Operations
Переглядів 226Рік тому
Slides: www.overleaf.com/read/qnjkwqnxvqjz
Classical Homotopy Theory 5:(Co)fibrations
Переглядів 325Рік тому
The series is back baby!! Slides: www.overleaf.com/read/qvvrfhxnhfhg History of fibrations: ua-cam.com/video/pzfM2ql_hEo/v-deo.html 00:00 Introduction 01:52 Basic Definitions 04:06 Mapping Path Spaces/Cylinders 20:03 Cofiber sequences 23:08 Fiber sequences 25:43 LES associated to fibration 30:00 Gregor going crazy
MERCH!!
Переглядів 361Рік тому
Thank you to anyone who buys this merchandise! gregorious-maths.creator-spring.com/ If anyone has anything they’d like to see on the shop, any ideas or even if you want a hoodie or smth just let me know and I’ll see what I can do. Discord: Im confused get over it#8985
Theorem of the Week: Brouwer’s Fixed Point Theorem
Переглядів 396Рік тому
Theorem of the Week: Brouwer’s Fixed Point Theorem
Homological Algebra 4: Singular Homology and (Co)chain Complexes
Переглядів 230Рік тому
Homological Algebra 4: Singular Homology and (Co)chain Complexes
Theorem of the Week: Lawvere’s Fixed Point Theorem
Переглядів 460Рік тому
Theorem of the Week: Lawvere’s Fixed Point Theorem
Theorem of the Week: Fundamental Theorem of Algebra
Переглядів 170Рік тому
Theorem of the Week: Fundamental Theorem of Algebra
Introduction to Supersymmetry in Quantum Mechanics by Alisha
Переглядів 11 тис.2 роки тому
Introduction to Supersymmetry in Quantum Mechanics by Alisha
Homological Algebra 2: Categories and Functors
Переглядів 1,7 тис.2 роки тому
Homological Algebra 2: Categories and Functors
Quantum Information by Christian Ferko 1.4
Переглядів 1,5 тис.2 роки тому
Quantum Information by Christian Ferko 1.4
Great video❤
Merry Christmas King!!
Merry Christmas bro 😎
Merry Cristmas!
Thanks!
Christal Palace 😂
Finishing up an algebraic topology course and this was a godsend! Cheers
thanks for watching :)
Tell your mum and dad I said hello.
How old are you? You looked like a little kid in your introductory video. If so, this channel is super impressive.
im 18 now
As Dedekind opened up his domain, he asked the number 6: "Do you factor into two consecutive prime numbers because you're 6, or are you 6 because you factor into two consecutive prime numbers?" 6 proceeded to expand his own domain from Z to Z[sqrt(-5)], and said "Nah, I'd (1+sqrt(-5))(1-sqrt(-5))." But 6 forgot to account for two things: 1.) Always bet on Dedekind, and 2.) Thinking he was clashing domains, 6 had merely passed to a new Dedekind domain.
I should make this into a short promoting this video but I fear that I dont have the skills
i don't just want to be your student, greg, i want to be your disciple
erm ok m8
Composure restored
this comment is so cold
🔥🔥🔥🐐
Yes, I was just wearing your Merch shirt at the gym when you uploaded this. Next time you gotta place the text higher on the chest, it's a bit too off to work it outside. What's Maths Society? Reminds me of Wildberger's school, but that's probably unrelated. Do you follow math youtube - is there something interesting or new going on. PS you haven't learned to write larger in 4 years, I feel bad for the student you TA, ha!
Thanks for wearing the merch to the gym haha, im sure the other members of the gym were admiring it while you were working out lol. I'll keep that advice in mind if I ever decide to create any new merch. Maths society is just some club I run at my school on lunchtimes, and I was giving a talk on this topic in maths society and got all mixed up and gave a pretty rubbish talk, so I felt the need to make this video to correct myself. I haven't actually been following maths youtube for a while, which is a bit of a shame- I do want to get back into the scene and see what's happening but I can't say that I have been keeping up recently. I think my students will have to deal with my handwriting, maybe I'll improve before I have any students (this is most likely cope).
@@gregoriousmaths266 Improve it!
Congrats!!!!
thanks
@@gregoriousmaths266 Do you happen to have any idea where are you going to go to the university? I guess you'll be able to choose between multiple options 😀
@@GiovannaIwishyou idk where im gonna end up, cambridge is probably the top choice rn but I'll have to wait and see where I end up
@@gregoriousmaths266 Best of luck, I'm sure they'll be more than happy to accept you!!!
@@GiovannaIwishyou thanks :)
The notes are not in the description btw
should be there now
cold guy 🔥🔥🔥
😎😎😎😎
Nice! Anyone could understand this with a decent knowledge of linear algebra.
quantum phantom
Nice lecture!
thank you :) keep your eyes peeled for new material
Cool! Do you have any book recommendations for a 8th grader interested in physics? I know Calc 1 2 and 3 through Stewart's book, what should I learn after that? Do you have a discord server?
loads of things you can learn from here on out: could go down the abstract algebra route and learn some basic group/ring theory, you could go down the analysis route and continue on with real and/or complex analysis or you could go down the geometric/topological route and dive into some point set topology. I'd say just pick a topic that interests you the most and give it a go honestly. As for the physics books, I wouldn't know I'm afraid lol
nice german
Danke
bruh turn ur mic up
i dont utilise a mic in the recording of these videos!
WE ALL CHEERED
🥳🥳
28:15 🤣
@@SiliconDr 🤣🤣
Folded
Mans learned what the "measures the failure of [thing] to hold" meme means
@@denizgoksu9868 it feels so good
Finally.
@@SiliconDr it’s as if I was never gone eh!
2:04 is lit
21:25 shouldn't you also mod out by basepoint x ]0,1] to obtain the suspension of X?
finally, a papa flammy of postgraduate maths, also do you have a discord server?
I do indeed
@@gregoriousmaths266 can you give a link?
@2:03 A *group" which doesn't have inverses??? ooops
I really appreciate you making this video! I’ve been studying category theory recently and I might share some thoughts while I watch this. I’m not trying to “correct” you, just sharing my own thoughts. I noticed around 3:40 that you explain a terminal object in terms of sets. I just thought to say maybe to be more accurate one ought to say that a singleton set acts as a terminal object in the category of sets, and a morphism in the category of sets from a terminal object will map to a single element in the codomain. However, those explanations wouldn’t apply if we discussed categories purely abstractly, since the objects need not be sets.
thanks for the comment, I've rewatched that little part and to be fair I do say (around 3:10 ) ``If we take a look at our example of the category of sets", but you're right that of course a terminal object isn't just a set with one element in general.
Gotcha, cool, sounds good, thanks
My goat is back
waiting for the first sanctorium1 upload bro 😂
my favourite series💪
❤️
PaPa Flammy ahh upload
This comment is actually bang on
big fan bro
Thanks man
Was waiting on this one!
Bro has been waiting for over 4 years 🤣🤣
Such small writing in a corner of the board is really hard to read, so the video is hard to follow.
How about naming it 'Polyspon' or 'Polyspond'? From the Greek adjective πολύς (polús) 'much', 'many' and Σφονδύλη (Spondyle) Refers to "vertebra," which is often spherical; used in geometry to refer to spherical objects or segments, or 'backbone'. In some cases Spondyle also refers to spiny oysters and a kind of beetle. Which also is apt.
yo nice video what's the discord
Strong tradition, nearly as strong as Mr Maths.
😹ty sir
Bravo! Srećan Bozic! Pozdrav iz Beograda!
Hvala!!
Glad to see the tradition still going strong
ofc
Its not christmas without an annual gregorious maths christmas special!
I think it's the highlight of everyone's year
I admire you not changing your clothes for a full year
*3 years
🐐
🐟🐟
Finally Back!
😁
Noice.
I send you messages on discord fyi.