What’s something new you learned recently? Or are learning right now? Or even want to learn? I am curious what kinds of math you all do :)

this term, i’m taking linear representations of finite groups, category theory and homological algebra, and algebraic geometry. i’ve learned so so many cool things this term, but i think the coolest is what i’ve been reading from vakil/hartshorne

would anyone be interested in me making writeup/exposition posts abt topics i think r cool? my interests r around comm alg/alg geo/hom alg/cat theory so it’d be stuff in there prolly

picrel is a cool diagram i got to make in quiver for my last homework submission

    • sara0107OPMEnglish
      3·
      23 days ago

      i think anyone and everyone can be good at math! it’s a skill like drawing or anything else right, it’s just practice. do you want to learn some? i can speak more on that

      • FireBlaze_1085English
        1·
        23 days ago

        Idk, I have sucked at basic calculus for year’s that I just accepted that I am the retard here.

        • sylveonsugarMEnglish
          4·
          23 days ago

          if you wanna learn calculus from the basics, i cannot recommend 3blue1brown’s Essence of Calculus series enough

  • Math_troonEnglish
    3·
    23 days ago

    idk some stuff about inner products in linear algebra I think. Also ideal subrings in abstract algebra

  • sylveonsugarMEnglish
    3·
    23 days ago

    also cat theory is cool, you should def post that writeup!

  • sylveonsugarMEnglish
    2·
    23 days ago

    im trying to get into a better uni for maths, so im doing olympiad stuff + highschool/competition calculus. for the current uni im in, i have group theory and calc 3 this semester. aside from that, i do like proof theory and operators :>

    • sara0107OPMEnglish
      2·
      22 days ago

      group theory is fun _ i hope you get into the unis you want <3

      what is proof theory?

      • sylveonsugarMEnglish
        1·
        22 days ago

        ty :>

        proof theory is the study of proofs itself as a kind of mathematical object. its related to formal logic, model theory, and homotopy type theory.

  • galileopunkEnglish
    2·
    23 days ago

    Just learned the Banach fixed point theorem in analysis! Analysis is the toughest for me, but it’s starting to click. I think there’s so many cool applications, too.

    • sara0107OPMEnglish
      1·
      22 days ago

      banach fixed pt theorem is fun, i like all the cool different proofs of it !! i think analysis is hardest for me too, that’s very real. im an algebra girlie fs

  • AxrxiEnglish
    2·
    21 days ago

    I only do math by self-study but I’m about to finish calc III !! After I’m gonna go through the MIT bachelors+masters pure math course they put online. I’m sooooo excited to start.

    • sara0107OPMEnglish
      2·
      21 days ago

      Omg I’m so excited for you !!! I hope u have so much fun :)

      • AxrxiEnglish
        2·
        21 days ago

        Also, I would love to see you post writeups and stuff!!