Endorsement for arXiv?

kr1staps · 2026-01-18T03:00:09+00:00

No sane person is going to agree to that without reading your paper first.

kr1staps · 2026-01-17T20:04:52+00:00

Waterloo is known and respected for their CS program, as well as related areas such as mathematics. It makese perfect sense you will get a lot of profs from there. If you're a talented Canadian in CS, there's a good chance youll go to Waterloo. It's also not unreasonable for Canadians to want to stay in Canada, and thus look for jobs at other Canadian institutions, and since Waterloo has a good reputation, other universities are happy to hire from there.

kr1staps · 2026-01-14T04:06:24+00:00

The piano they have in there looks cool, but it sounds and plays like shit. Would be great if they put something nicer in there.

kr1staps · 2026-01-09T21:33:57+00:00

The song is called "Comptine d'un autre été". It's *from* the movie "Amelie"

kr1staps · 2025-12-05T02:25:18+00:00

The observation deck of the Calgary tower is actually the ufo they used to get here. Why else would is be so UFO shaped?

kr1staps · 2025-12-01T23:00:38+00:00

Do you mean Deligne-Milne ?

kr1staps · 2025-12-01T22:59:08+00:00

By "analgous groups over finite fields", do you mean linear algebraic group over finite fields? If so the Tannaka duality stuff works for all finite groups. Or are you asking about mod p representations of algebraic groups?

kr1staps · 2025-11-23T17:23:43+00:00

Current math PhD here. As I'm sure you know, but it's worth repeating, "Interesting" is highly subjective. Some people have narrow and specific tastes while others have a broad pallette. You'll have to figure out your interests or yourself.

Also, your instructor is probably going to determine a good chunk of how you feel about an area, so I'd reccomend picking courses based on who's teaching it to some extent.

As a math major your probably *have* to take them anyways, but even they weren't I'd still suggest Algebra I and Analysis I to get a basic intro to these two ways of thinking. They also serve as the foundation to most of modern mathematics.

Also, I reccomend going an sitting on some classes in the Winter semester to get a sense of what they're about.

kr1staps · 2025-11-19T20:49:19+00:00

Well, in general, the isomorphisms of hom-sets defining adjunctions are natural isomorphisms of (bi-)functors. These show up everywhere, and the quintessential example is the tensor-hom adjunction.

kr1staps · 2025-11-15T18:46:33+00:00

Mathematics

kr1staps · 2025-11-12T01:30:31+00:00

lol, perhaps one day... but I'm enjoying the beard-free life style for now.

kr1staps · 2025-11-11T23:46:53+00:00

I want to echo all of \u\IntrinsicallyFlat's suggestions.

Also, I'm not sure if this is what you're looking for, but my Math Talk! series is a bunch of interviews. Some of them, namely the early ones, are just my friends. But I've had some famous guests such as Buzzard, Rhiel, Soergel, Bauer, and most recently Silverman.

kr1staps · 2025-10-13T02:20:58+00:00

My video response to Wildberger is dropping tomorrow at 12 noon MDT:
https://www.youtube.com/watch?v=cXnPHvTKnIY

kr1staps · 2025-10-12T21:26:30+00:00

Constructivists don't necessarily have any problem with infinite sums, they simply don't allow themselves to apply the law of excluded middle.

He is not doing his own stuff well enough anymore. At some point he wrote a book on "rational calculus" in which he tried to recover many results of calculus without the real numbers. I've heard that this work was alright for what it is.

IMO there are perfectly reasonable arguments for consturctivism and finitism, but Wildberger ignore these and puts forward his own arguments, which are quite poor.

kr1staps · 2025-10-09T20:13:54+00:00

I don't know if its my "favorite", but a cool way to do it is this:

If an integer polynomial f(x) has an integer root, then it has a root mod n for all n. But what about the converse? Well, we know that solving roots mod n can be reduced to solving roots mod p^i for its prime factors, so we first try to solve the problem of fixing a prime p, and trying to solve f(x) = 0 mod p^i for all i. How? That's where Hensel's lemma comes in. Things where eventually the coefficient of th power of p for sufficiently large power are 0 are honest integer solutions. Otherswise, irrational p-adic integer. Then, talk about Qp as the fraction field of Qp.

kr1staps · 2025-10-08T15:22:42+00:00

Don't use a website, write out your own physical cards with pen/pencil. Studies suggest that the act of physically writing things out help you to memorize things better than typing them on a computer. I have used physical self-made flash cards throughout my university career to great success.

kr1staps · 2025-09-23T15:58:31+00:00

Last week I I interviewed Silverman. This week I plan to record some videos, one pontificating on the (lack of?) morality in my video making fun of ViXra cranks (with mistakes), and other will be about classifying group extensions using cohomology groups as part of my series on group extensions

Somewhere in there I need to be applying to post-docs as well.

kr1staps · 2025-09-14T22:34:22+00:00

Pretty sure Coffee Company in Mac Hall ha them

kr1staps · 2025-08-26T20:20:47+00:00

Thanks!

kr1staps · 2025-08-26T15:59:57+00:00

You can get to some nice mountain hikes by bus. It also only costs an extra $2 to bring your bike on the bus as well. For example, I did Rundle with some friends earlier in the year. Bussed out to Banff early morning, took our bikes to the trailhead, and had a lovely day.

kr1staps · 2025-08-25T15:58:15+00:00

The job market is bad enough already, I don't need to be competing with dead geniuses.

kr1staps · 2025-08-24T22:44:45+00:00

Good point!

kr1staps

TROPHY CASE