Carles Sáez

I'll order these so that I can tick them off a list on my computer; the numbers are not any sort of ranking. Summaries will be kept brief and hopefully stoke curiosity, rather than providing answers.

The first talk of the season will be this coming Tuesday (23 September), given by Alexandre Bouchard-Côté from UBC. Alex is a great speaker, so do join if you have the chance!

See sites.google.com/view/monte-c... for details, links, and so on.

The moduli space of commutative algebras of finite rank The moduli space of rank-n commutative algebras equipped with an ordered basis is an affine scheme B_n of finite type over Z, with geometrically connected fibers. It is smooth if and only if n <= 3. I...

A crazy open problem in algebra:

Conjecture (Poonen): 100% (asymptotic density) of finite commutative rings have characteristic EXACTLY 8, i.e. 4 ≠ 0 and 8 = 0 both hold.

From this amazing paper: arxiv.org/abs/math/060...

im devastated to learn that i write with a lisp (it's not as bad as some other but still (it makes me feel a little self-conscious (not that there's anything wrong with lisps (i think it's cute, actually (sometimes)))))

Me in 2023: Just chill. All the AI doom scenarios involve giving models direct access to and control over real world systems, and no one would be that dumb

In 2025: oh fuck

GPT-5 regularly asks you why you are not citing its work. GPT-5 always believes your estimator is biased. GPT-5 has more of a comment than a question. Sometimes GPT-5 tells you stories about grad school and expresses regret about getting a PhD. GPT-5's mom wonders when it will start making money.

Prepping my post-BayesComp "stock market update" (to be taken with a pinch of salt!) on how different topics fared relative to my expectations / past years.

Enhorabuena!!! 🥳🥳🥳
Gran fichaje para el INE!

I know this has little to do with the point of your post, but I think ii) isn't always so clearly defined. I'm thinking about 2nd-order transitions, e.g. liquid and gas phases of water where you can change phase without ever noticing by going around the critical point

Enhorabuena! 🥳🥳

Yo creo que sí eh, que haga las oposiciones también y se venga para el INE 😆

Deltarune............................................................ tomorrow!

Rubén Musoles Roca - Problema 1 - OCM 2022 En aquesta entrada donaré diverses solucions del primer problema de l'Olimpíada Matemàtica (OMC) del curs 22-23 (fase Catalana). El que més m'agrada és la diversitat de resolucions que he anat recolli...

Per a quins valors n²+5n+6 és quadrat perfecte?

Resolem aquest problema d'olimpíada amb àlgebra, anàlisi, teoria de nombres... i inclús estadística!

sites.google.com/view/rubenmu...

Vamossss! Enhorabuena!!! A por el segundo y nos vemos pronto por el INE!

Actually this statement is true in some set theories like Quine's NF or NFU

Pretty funky: for state-space models, one usually teaches things in terms of a Markovian latent state {x_t}, with conditionally-independent emissions y_t which depend only on x_t.

Actually, a good chunk of the tractability of SSMs is preserved when the emissions depend on both of (x_{t - 1}, x_t)!

Cool, thanks a lot!

What are you reading? 👀
I've been wanting to learn a little bit about that but haven't found time yet

Friendship ended with Mudasir meme: Friendship ended with academia now industry is my best friend A man is shaking hands with the Adventure Capitalist capitalist cartoon, and around them are the Elsevier logo and a stock photo of kids in lab coats, both crossed out.

Guess who got a job

LOL

Pretty chilling TED talk. Not fun, but recommended watching

www.youtube.com/watch?v=TZOo...

one time i tried to introduce myself to an ♾️-cat guy and before i could say anythind he told me "follows from a construction of deligne." i said "sorry? I--" he said "corollary of Stacks Project 4.13.2." I said "I'm Rochelle" and he said "I know; its in Lurie."

“We are not monsters,” the officer told her after she asked if she was safe. “We do what the government tells us.”

Bookmarking this

El vicepresidente JD Vance en Groenlandia: “Aquí hace un frío que te cagas” EEUU redobla la presión sore Groenlandia con la visita de una delegación estadounidense en la isla ártica

Fíjate bien, que no es el Mundo Today.

edited Margaret Thatcher quote The problem with mathematics is that you eventually run out of curly alphabets

The most dangerous thing about AI chat bots is how many men with political power treat them *exactly* and unquestioningly like actual Ancient Greek oracles.

I used to think the phrase "free gift" was redundant but now I realize they are just gifts that are characterized by the usual universal property.

Alternately laughing, crying, and throwing up contemplating this area computation.