826 reputation
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location Oslo, Norway
age 24
visits member for 2 years, 9 months
seen May 13 at 10:50
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Hello! I am a master student in algebraic topology at the University of Oslo.


Feb
12
revised Confusion over notation in a book on the mathematics of QFT by Faria-Melo
added 2 characters in body
Feb
12
revised Confusion over notation in a book on the mathematics of QFT by Faria-Melo
"what the symbols are meant to mean" may sound a bit defiant, which is not the case and not my intention :-)
Feb
11
asked Confusion over notation in a book on the mathematics of QFT by Faria-Melo
Feb
11
answered Confusion over notation in a book on the mathematics of QFT by Faria-Melo
Nov
22
comment What does matrix multiplication actually mean?
@lhf When you extend multiplication to fractions or the real line like you do, I'm sure you agree that the intuitive 'counting' operation of multiplying integers extends to the intuitive operation of 'scaling'.
Nov
22
revised What does matrix multiplication actually mean?
added 1308 characters in body
Nov
22
revised What does matrix multiplication actually mean?
added 1308 characters in body
Nov
22
revised What does matrix multiplication actually mean?
added 118 characters in body
Jul
28
awarded  Yearling
Jun
8
awarded  Caucus
May
31
comment Prove $\mathbb{Z}$ is not a vector space over a field
Nice solution! Getting rid of the simplest (characteristic $2$) case as neatly as possible, and then using this directly to support the initial intuition: "fields have fractions." Om nom chomp.
May
2
comment Why is one “$\infty$” number enough for complex numbers?
I see your point of view as well; there are apparently many angles on a somewhat open question. My approach was to point out that the dichotomy between the case of $\mathbb{R}$ and $\mathbb{C}$ implied by the word 'instead' could be considered somewhat artificial o_O
Apr
29
accepted What is the universal property of the tangent bundle of a smooth manifold?
Apr
14
comment Which functor does the projective space represent?
This got way clearer with time. Thanks again :-)
Apr
14
comment Which functor does the projective space represent?
Ah, the condition that the $r_i$ generate $R$ got much clearer when considering that this means that they do not all vanish at any point. This plugs nicely into thinking about projective schemes as looking for strictly non-trivial solutions to homogeneous equations. Neat :-)
Mar
17
accepted Which functor does the projective space represent?
Mar
17
comment Which functor does the projective space represent?
Thank you! Another good answer. Hard to know which one to pick, but I think I'll go for this one because it is closer to the generality I asked for. I also found this treated in a set of notes by Strickland on formal schemes.
Mar
16
comment Which functor does the projective space represent?
Thank you! I agree charts might not be all too great for understanding projective spaces, but the first thing I really understood and liked was the projective line, patched together by pieces of $k[t]$. It makes it clear to me why a meromorphic function on $X$ is the same thing as a morphism $X\to\mathbb{P}^1$. This complements nicely the notion of a regular function as a morphism $X\to\mathbb{A}^1$. If I was able to see from the definition of $\mathbb{P}^I$, that this was the case I would be every happy. At least you've told me what I need to stare at until it makes sense :-)
Mar
16
revised Which functor does the projective space represent?
edited title
Mar
16
asked Which functor does the projective space represent?