Gregorious Maths
Gregorious Maths
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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...
Homological Algebra 5: De Rham Cohomology
Переглядів 2693 місяці тому
Later
Solving a triggy integral (PART 2)
Переглядів 3357 місяців тому
Solving a triggy integral (PART 2)
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
Good luck!
Переглядів 508Рік тому
Good luck!
The Mathematics of Origami by Eashan
Переглядів 336Рік тому
The Mathematics of Origami by Eashan
Theorem of the Week: Euclid’s Theorem
Переглядів 299Рік тому
Theorem of the Week: Euclid’s Theorem
Theorem of the Week: 5/8ths Theorem
Переглядів 198Рік тому
Theorem of the Week: 5/8ths Theorem
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: Yoneda Lemma
Переглядів 511Рік тому
Theorem of the week: Yoneda Lemma
Theorem of the Week: Fundamental Theorem of Algebra
Переглядів 170Рік тому
Theorem of the Week: Fundamental Theorem of Algebra
Hairy Ball Theorem
Переглядів 970Рік тому
Hairy Ball Theorem
Homological Algebra 3: Special Modules
Переглядів 201Рік тому
Homological Algebra 3: Special Modules
Homotopy History 1: FIbrations
Переглядів 614Рік тому
Homotopy History 1: FIbrations
Completing the square
Переглядів 309Рік тому
Completing the square
Chinese Remainder Theorem (emotional)
Переглядів 4482 роки тому
Chinese Remainder Theorem (emotional)
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

КОМЕНТАРІ

  • @RareChuraaze
    @RareChuraaze День тому

    Great video❤

  • @sanctorium1577
    @sanctorium1577 День тому

    Merry Christmas King!!

  • @vesna1235
    @vesna1235 День тому

    Merry Cristmas!

  • @SiliconDr
    @SiliconDr 2 дні тому

    Christal Palace 😂

  • @nuclearcoconut3664
    @nuclearcoconut3664 11 днів тому

    Finishing up an algebraic topology course and this was a godsend! Cheers

  • @duncanfisher2986
    @duncanfisher2986 16 днів тому

    Tell your mum and dad I said hello.

  • @newwaveinfantry8362
    @newwaveinfantry8362 23 дні тому

    How old are you? You looked like a little kid in your introductory video. If so, this channel is super impressive.

  • @denizgoksu9868
    @denizgoksu9868 24 дні тому

    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.

    • @gregoriousmaths266
      @gregoriousmaths266 24 дні тому

      I should make this into a short promoting this video but I fear that I dont have the skills

  • @navya2681
    @navya2681 25 днів тому

    i don't just want to be your student, greg, i want to be your disciple

  • @camelman9350
    @camelman9350 25 днів тому

    Composure restored

  • @i_Okon
    @i_Okon 25 днів тому

    🔥🔥🔥🐐

  • @NikolajKuntner
    @NikolajKuntner 25 днів тому

    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!

    • @gregoriousmaths266
      @gregoriousmaths266 25 днів тому

      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).

    • @NikolajKuntner
      @NikolajKuntner 25 днів тому

      @@gregoriousmaths266 Improve it!

  • @GiovannaIwishyou
    @GiovannaIwishyou 25 днів тому

    Congrats!!!!

    • @gregoriousmaths266
      @gregoriousmaths266 25 днів тому

      thanks

    • @GiovannaIwishyou
      @GiovannaIwishyou 25 днів тому

      @@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 😀

    • @gregoriousmaths266
      @gregoriousmaths266 25 днів тому

      @@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

    • @GiovannaIwishyou
      @GiovannaIwishyou 24 дні тому

      @@gregoriousmaths266 Best of luck, I'm sure they'll be more than happy to accept you!!!

    • @gregoriousmaths266
      @gregoriousmaths266 23 дні тому

      @@GiovannaIwishyou thanks :)

  • @sanctorium1577
    @sanctorium1577 25 днів тому

    The notes are not in the description btw

  • @psychosaik
    @psychosaik Місяць тому

    cold guy 🔥🔥🔥

  • @toony966
    @toony966 Місяць тому

    Nice! Anyone could understand this with a decent knowledge of linear algebra.

  • @NikolajKuntner
    @NikolajKuntner 2 місяці тому

    quantum phantom

  • @karinasakurai6599
    @karinasakurai6599 2 місяці тому

    Nice lecture!

    • @gregoriousmaths266
      @gregoriousmaths266 2 місяці тому

      thank you :) keep your eyes peeled for new material

  • @toony966
    @toony966 2 місяці тому

    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?

    • @gregoriousmaths266
      @gregoriousmaths266 2 місяці тому

      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

  • @navya2681
    @navya2681 3 місяці тому

    nice german

  • @navya2681
    @navya2681 3 місяці тому

    bruh turn ur mic up

    • @gregoriousmaths266
      @gregoriousmaths266 3 місяці тому

      i dont utilise a mic in the recording of these videos!

  • @navya2681
    @navya2681 3 місяці тому

    WE ALL CHEERED

  • @SiliconDr
    @SiliconDr 3 місяці тому

    28:15 🤣

  • @denizgoksu9868
    @denizgoksu9868 3 місяці тому

    Mans learned what the "measures the failure of [thing] to hold" meme means

  • @SiliconDr
    @SiliconDr 3 місяці тому

    Finally.

  • @benjaminadrenaline
    @benjaminadrenaline 4 місяці тому

    2:04 is lit

  • @thephysicistcuber175
    @thephysicistcuber175 4 місяці тому

    21:25 shouldn't you also mod out by basepoint x ]0,1] to obtain the suspension of X?

  • @anime_erotika585
    @anime_erotika585 4 місяці тому

    finally, a papa flammy of postgraduate maths, also do you have a discord server?

  • @scibuff
    @scibuff 4 місяці тому

    @2:03 A *group" which doesn't have inverses??? ooops

  • @PromptStreamer
    @PromptStreamer 4 місяці тому

    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.

    • @gregoriousmaths266
      @gregoriousmaths266 4 місяці тому

      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.

    • @PromptStreamer
      @PromptStreamer 4 місяці тому

      Gotcha, cool, sounds good, thanks

  • @sanctorium1577
    @sanctorium1577 7 місяців тому

    My goat is back

    • @gregoriousmaths266
      @gregoriousmaths266 7 місяців тому

      waiting for the first sanctorium1 upload bro 😂

  • @camelman9350
    @camelman9350 7 місяців тому

    my favourite series💪

  • @denizgoksu9868
    @denizgoksu9868 7 місяців тому

    PaPa Flammy ahh upload

  • @abrarrafi4364
    @abrarrafi4364 7 місяців тому

    big fan bro

  • @SiliconDr
    @SiliconDr 7 місяців тому

    Was waiting on this one!

  • @LaureanoLuna
    @LaureanoLuna 7 місяців тому

    Such small writing in a corner of the board is really hard to read, so the video is hard to follow.

  • @lockpickrogue-yc5wc
    @lockpickrogue-yc5wc 7 місяців тому

    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.

  • @junemalory
    @junemalory 10 місяців тому

    yo nice video what's the discord

  • @benjaminadrenaline
    @benjaminadrenaline Рік тому

    Strong tradition, nearly as strong as Mr Maths.

  • @vesna1235
    @vesna1235 Рік тому

    Bravo! Srećan Bozic! Pozdrav iz Beograda!

  • @KStarGamer_
    @KStarGamer_ Рік тому

    Glad to see the tradition still going strong

  • @camelman9350
    @camelman9350 Рік тому

    Its not christmas without an annual gregorious maths christmas special!

  • @denizgoksu9868
    @denizgoksu9868 Рік тому

    I admire you not changing your clothes for a full year

  • @lepoisson_
    @lepoisson_ Рік тому

    🐐

  • @SiliconDr
    @SiliconDr Рік тому

    Finally Back!

  • @Double_U_tau_Phi
    @Double_U_tau_Phi Рік тому

    Noice.