they call me a prime ideal the way im on the spectrum
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they call me a prime ideal the way im on the spectrum

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Another day, another need to come up with good notation
I'm in the slightly unusual situation (for me at least) where I'm stuck on two different problems, but which are entirely different. The end results I'm looking for are... maybe not similar but closely related, but one involves trying to geometrically understand certain 3-balls in 5-manifolds, and one involves trying to understand wtf is up with a certain class of fibre sequences of spectra.
In a way it's nice that each day I can decide whether I feel like doing category theory or not. But also why do I have to know what a Quillen equivalence is.
PhD Post Week 35
Despite hell descending upon the UK again for the third time in two months, this week has been very productive! Sadly no seminars anymore cause term's over so I only have my project to talk about.
This calculation I've been doing has gone even quicker than I expected! Past me did a lot of good work setting up the tools to actually do this effectively. I actually spent Tuesday and Wednesday writing up everything I did since the last time I updated my document. I will say I've done a lot of combinatorics. Basically all of my arguments can broadly be classes as "let's count the number of dimensions". Though it did mean using the Rank-Nullity Theorem (ol' reliable).
My next goal is to generalise what I've done in the semifree case to the full algebraic model. This shouldn't actually take too long; I think it's mostly a case of bookkeeping and maybe introducing a bit more notation to do things effectively. Once this is done, that's my original goal achieved!! But this certainly isn't the end, there's another question I can tackle after this using what I've done. I've already been thinking about it a bit and it's already quite interesting!
Oh actually there is one small thing not related to my project! There are two conferences coming up in the next few months that I'm hoping to attend! Already applied to the first one and I'm hoping to hear back soon (not least so I can book flights etc). The second one doesn't have a website yet, but my supervisor has assured me it will be happening haha

Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
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(gonna be writing all my excited messages like this so that people know my excitement is embedded in each and every letter)!
Proof of concept for a triangle with side lengths 1, 0 and i
And some of the related trigonometry
Proof that 0=0 using this triangle
And then proof that 0/0=Β±2 using this triangle
One of my special interests is numbers
Pretty neat that the rank-nullity theory is making an appearance in my research