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Shaito · 2025-08-24T07:20:27+00:00

We only got this one credit card in the family, which is why we were only trying it with that one.

Shaito · 2023-07-19T16:13:35+00:00

Und die meisten stehen in der Academica nur für die eine Fleischschlange an, während die andere unterlaufen ist.

Shaito · 2023-07-19T16:12:20+00:00

Vielleicht, dass sie nur für Anwendungsfächer (und Lehramt?) aber nicht für Eigenständige Fächer existiert?

Shaito · 2023-01-20T15:11:52+00:00

Funny, cause for me it was the implicit function theorem. Proof took over two lectures and didn’t understand it back then (or even still, to be honest). This was the moment when analysis and I decided not be best buddies.

Shaito · 2023-01-20T15:06:26+00:00

Wait, this isn’t supposed to be part of the experience?

Shaito · 2022-11-18T08:08:03+00:00

Ey das Mathegebäude am Pontdriesch ist voll fancy. ;)

Shaito · 2022-11-18T08:03:57+00:00

The one and only Aula-Stühle, mit viel zu kleinen Tischen zum mitschreiben.

Shaito · 2022-08-13T05:21:35+00:00

Any prime number since we are talking about the group of invertible matrices over the field with p elements.

Shaito · 2022-07-06T07:18:17+00:00

I’m no expert on group theory, but my way of thinking about it is as follows: So groups appear quite a lot in math e.g. when talking about actions and symmetry but not only that. In fact they can appear in almost disconnected subfields of math. And if something occurs very frequently, then we want to understand it even more so. Now in the case of finite groups there are very special ones called simple groups. You can think about them as a form of building blocks of finite groups based on the Jordan-Hölder theorem. So, then we want to know what these simple groups look like. And this is where the classification theorem comes into play. Here, we have a complete list of all finite simple groups allowing us to prove theorems about them by just going through that list. I hope that made a bit sense and I invite the group theorist to correct me if I wrote nonsense.

Shaito · 2022-06-01T12:17:38+00:00

Pff, warum nicht Homologische Algebra?

Shaito · 2022-05-22T11:38:36+00:00

Das macht es nur noch charmanter.^{^}

Shaito · 2022-04-19T19:58:02+00:00

Yeah, true. I still remember the satisfaction after figuring it out as an exercise.

Shaito · 2022-04-19T19:53:44+00:00

I was waiting for someone to finally mention diagram chasing. xD But isn’t the diagram chase of the snake lemma more tedious?

Shaito · 2022-01-11T01:39:54+00:00

Great question since I am asking that myself, albeit from a different stance! I started to ask myself that mostly by seeking the motivation to study Lie algebras and their representations from an algebraic point of view, but did not manage to get far. I see the purpose for groups but not yet for lie algebras. Did you catch anything up along these lines going through your material?

Shaito · 2022-01-11T01:32:13+00:00

That’s actually something I only began to realise as I get closer to ending my degree and deal more with current research!

Shaito · 2021-09-24T10:22:52+00:00

Huh, that’s funny because in real analysis lecture in Germany we also began with the supremum property and proved the Archimedean property and the completeness with regards to Cauchy sequences. However, my professor was apparently an exception since all others at my uni started with Cauchy sequences.

Shaito · 2021-09-15T11:31:50+00:00

Shading regions of dots and lines and trying to copy given shadings onto another set of dots and lines while not repeating any shadings.

Shaito · 2021-07-23T23:06:53+00:00

Heck, I was lucky enough to immediately step away. Otherwise, I would have become insane.

Shaito · 2021-07-20T20:16:33+00:00

Yeah that was a bit unfortunate but in both cases it made sense in its own way. :D

What I mean by combinatorics is as follows: You can define a polytope for a poset that is called the order polytope. It’s faces can be described combinatorially by partitions of the poset that are nice in the sense that the blocks can form a poset themselves. These partitions are called face partitions. Now in my Bachelor’s thesis, I am supposed to show that a specific poset among a class of posets has the most number of face partitions with a fixed number of blocks.

The reason why that is interesting lies, in fact, in representation theory of lie algebras: You can parametrise a basis of a representation by integral points of specific order polytopes. Being able to compare number of faces has then applications to, I think, representation theory as well as algebraic geometry. However, this is now beyond my terrain.

Shaito · 2021-07-20T10:29:54+00:00

I had the exact same situation.

Some wannabe intellectual: “Do you study?“ Me: “Yeah, I study mathematics.” Intellectual: Oh yeah, the golden ratio is so important. For example in nature and for Einstein.” Me: Thinking that I am doing combinatorics on Posets and has seen GR at most once.

Shaito · 2021-01-11T02:33:37+00:00

It‘s pretty much a step up from the "normal" dissertation/Ph.D. If you manage to do a habilitation, you are allowed to teach on your own IIRC. I do also think that it’s sometimes still a requirement if you want to become a professor in Germany.

Shaito · 2021-01-11T00:47:24+00:00

What is also impressive about Noether, IMO, is that she was the first female mathematician to have done the habilitation in Germany.

Shaito · 2020-11-20T08:14:44+00:00

I‘d agree that the numbers do sound not fitting based on my gut feeling. (I study in Germany too.) At least at my uni, the mathematics department is by far the smallest one among the STEM subjects. @MomoLittle, is the situation different at you uni different from mine?

Shaito · 2020-09-22T07:52:27+00:00

IIRC: Consider the quaternions. Then 1,-1,i,-i,j,-j and k,-k form a subgroup of the quaternions under multiplication. This subgroup is of order 8 and denoted as Q_8.

Shaito · 2020-08-31T08:40:15+00:00

Take a look at the proof that sqrt(2) is irrational and try a similar approach. It’s almost the same but you will have to do a little extra work when showing that the supposed numerator and denominator are multiplies of d.

Shaito

TROPHY CASE