tony the math lion 🦁

My last account, @TonyTheLion2500 was compromised and I lost access to it. Waiting on X support to help me out fixing this. This is now my backup account.

@Sephy737 Talk to someone about it. Would be my advice. 🥰

There's just nebulous turmoil and pain inside me and none of my coping techniques work because I don't know what I'm feeling or why so I'm just constantly in emotional pain and I don't know what to do

@RisingTime_ @PhysInHistory

Carl Friedrich Gauss wasn’t just a mathematician who made a few important discoveries — he reshaped the structure of mathematics itself so deeply that entire fields now quietly carry his influence in their foundations. In number theory, he didn’t just contribute ideas; he systematized the subject. His work in Disquisitiones Arithmeticae introduced modular arithmetic in a form that became standard, developed quadratic reciprocity into a central law, and helped define how mathematicians think about integers, primes, and congruences. Much of modern number theory still runs on that framework. In computation and applied mathematics, he created methods that are now routine tools. Gaussian elimination is still one of the basic ways we solve systems of equations, and the method of least squares became the backbone of data fitting, statistics, and scientific measurement. Even when engineers or data scientists use these tools today, they are indirectly using Gauss’s ideas. He also helped shape probability theory through what we now call the Gaussian or normal distribution, which originally came from his work on observational errors. That single idea became one of the most important distributions in statistics and natural sciences. In geometry, his work was even more conceptually radical. Gaussian curvature and the Theorema Egregium showed that curvature is intrinsic to a surface itself, not dependent on how it sits in space. That insight changed geometry forever and later became part of the intellectual path leading toward modern differential geometry and even general relativity. He also contributed deeply to areas like potential theory, geodesic calculations, Gaussian quadrature, and number-theoretic structures such as Gauss sums and cyclotomy. Each of these may look specialized, but together they show a pattern: he kept finding the underlying structures that make complex systems behave the way they do. What makes Gauss unusual is not just the number of his discoveries, but the level at which he worked. He wasn’t adding results to mathematics — he was redesigning its internal logic so that future discoveries would naturally fit into place.

Mathematical contributions of Carl Friedrich Gauss ✍️ Fundamental Theorem of Algebra Quadratic reciprocity law Modular arithmetic & congruence notation Number theory foundations Disquisitiones Arithmeticae Gaussian elimination Method of least squares Gaussian (normal) distribution Gaussian integers Binary quadratic forms Cyclotomy Constructibility of the regular 17-gon Prime number theory contributions Differential geometry Gaussian curvature Theorema Egregium Non-Euclidean geometry contributions Gauss’s divergence theorem Gauss–Bonnet theorem Potential theory Elliptic functions Hypergeometric series/functions Theory of errors & probability Geodesic calculations Gaussian quadrature Gauss sums

being single is so awesome bc I can do whatever I want (nothing) go see whomever I want (no one) and go out whenever I want (never)

The crushing weight of definitions in math 😭😭😭

Those little paws 🐾 😍 😭

No one: Commutative algebra: Ass(R/I) 😱

Didn't realise I need to ask a lot of questions about math definitions too, to make them less overwhelming and i need examples 🫡😱

@torgeirlysen Its called a "commutative diagram" in category theory. I am sorry if I didn't get your sarcasm.

@TonyTheMathLion What kind of arcane magic is this?

Ask a toddler on the street

@VilasMagare5 Exactly 0 😱

@TonyTheMathLion How many of them have you solved?

Are they really 'among the hardest questions'???

I love this meme 🤣

My new book: Hand-Waving for Mathematicians. Projected to be an NYT best-seller.

I want this for me, but its actually surprisingly hard for me to do

okay here is my actual theory of autism. your job as an autist is to find a particular aspect of civilization to get obsessed with and defend, repair, and improve this part. this is what having special interests is for autism is when your whole mind is a kind of stem cell, growing up as an autist means specializing from a stem cell to a specific type of cell. you need to specialize in order to unlock full autism power because full autism power comes from understanding a specific domain so deeply your whole mind changes shape to conform to the shape of the domain itself. when you do this hard enough you can get so good at things it is literal magic. people who do this are responsible for probably a significant fraction of all technological, cultural, artistic, spiritual, etc. progress don't let it get to your head. stay humble. this isn't about you. the point of all this is tikkun olam. the good news is you probably already know what your obsession is. the bad news is you might currently be using some of your obsessive energy to destroy yourself. stay safe out there

When life gives you lemons, do math 🥰😍

In proof writing you can go quite a way with definitions alone. Connecting them with theorems is what I am trying to get better at now. Obviously there's a lot of tricks too.

So there's a connection between Riemann surfaces and modular forms, and just knowing that makes me very happy 😊 😍🥰