Carles Sáez
@csaez_math
Always learning. Here I mainly talk about pure math in English/Catalan/Spanish. Statistician at work, geometer at heart.
Was dir gefallen könnte
HILO DE TEOREMAS DE TOPOLOGÍA ALGEBRAICA Un calendario de adviento con teoremas de topología algebraica e hilos de comentarios de cada teorema
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Día 2 [Geometría de Variedades] Sáez: sea X una 4-variedad cerrada suave. Existe una constante C tal que, para todo grupo G actuando de forma fiel y suave sobre X, G contiene un subgrupo G_0 de índice a lo sumo C, y además este subgrupo cumple las siguientes propiedades: (+)
Empezamos bien CALENDARIO DE ADVIENTO DE TEOREMAS 2025
Calendario de adviento de conceptos y resultados matemáticos de 2025. Cada entrada viene con un hilo, que aparece como cita, explicando las ideas de forma más o menos simplificada.
🎄Iniciem el calendari d'advent d'aquest 2025! Sobre diverses definicions de categories. Així indirectament faig tfm 💋 (se m'ha acudit gràcies a en @ronpakorra, en @csaez_math i en @raalpe grà6 i @carlosgb314 supòsut
🧵I want to tell the story of an old (40+ years) question I resolved with a collaborator last year. Much discussion of the impact of AI on math research elides (I think unintentionally) the distinction between resolving contest problems, throwaway questions in a paper or…
Imagine thinking this isn't designed
It seems that we're getting to the point where "low-hanging fruit" theorems are being proved by LLMs (which tbh I expected would happen earlier!) Very curious to see how things will evolve from here!
We are on the cusp of a profound change in the field of mathematics. Vibe proving is here. Aristotle from @HarmonicMath just proved Erdos Problem #124 in @leanprover, all by itself. This problem has been open for nearly 30 years since conjectured in the paper “Complete sequences…
Mi bonito foro, 🌻 Comparto con ustedes la generalización de este problema que hace poco compartió @MYosefnia. Involucra interesantes propiedades de la expansión del producto de funciones trigonométricas. Está dividido en dos partes Que este día tengan paz en sus vidas
The highest potency mystics I have met are emeritus topologists
pursuing an academic career is like thinking the stripper loves you
It is common to discuss the Gödel incompleteness results as intrinsically about and restricted to computably enumerable theories. Common and completely wrong. Consider these examples:
five hundred textbooks on modern analysis and algtop is still stuck with fucking hatcher
>buy a new math text >you find it totally impenetrable >makes no sense >work hard, finally get it >it’s all so beautiful and simple >why didn’t they just explain it this way??? >write new text >someone buys it >they find it totally impenetrable
Me llamo Chema y soy dibujante tradicional. Desde que llegó la IA casi no tengo trabajo, pero yo seguiré dibujando hasta que no pueda. ¿Me ayudas a difundir mi trabajo? Por cada retuit ayudas a difundir el arte generado por las personas y Skynet pierde una batalla. ¡Gracias!
"Abans era impensable" quan al meu institut a l'ESO (fa més de 20 anys): - Hi havia gent obertament nazi, i dibuixos d'esvàstiques a parets i taules - Alumnes cremant senyeres (no estelades) al pati mentre cridaven "Arriba España", "Viva Franco" i "Puta Cataluña"
"Ens trobem algun ‘viva Franco’ a classe. És per provocar, però abans era impensable.” El franquisme s’explica a finals de 4t d’ESO i sovint es fa superficialment, alerten alguns professors. Molts alumnes, però, veuen vídeos a favor de Franco a les xarxes 3cat.cat/3catinfo/franq…
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