20,428 reputation
13058
bio website facebook.com/paterz1
location Montreal, Canada
age 23
visits member for 3 years, 3 months
seen 35 mins ago

I finished my undergraduate studies in mathematics at University of Montreal. I am doing my Ph.D at the Berlin Mathematical School in algebraic geometry. My current interests, besides algebraic geometry, are number theory, analysis, topology, measure theory, representation theory and commutative algebra.


3h
comment Right-adjoint to the inverse image functor
@Pece : I just said I didn't know much about limits/colimits, Kan extensions I'll pass... but thanks for the comment, the community might appreciate (as the +1 on your comment indicates)
11h
comment Right-adjoint to the inverse image functor
@Bryan : Is it a surprise that $f_*(A)$ is defined by a colimit in $\mathcal P(Y)$?
13h
comment Right-adjoint to the inverse image functor
I thought the set-theory tag was relevant because we actually thought about set-theoretic operations when we tried to figure out the right-adjoint.
13h
revised Right-adjoint to the inverse image functor
added 11 characters in body
13h
answered An example of set with a countably infinite set of accumulation points
13h
comment An example of set with a countably infinite set of accumulation points
The real interval $]x- \varepsilon, x+ \varepsilon[$ is not countably infinite ; it is uncountably infinite. This is not one of the examples you are looking for ; anything with non-empty interior will have uncountably many limit points.
13h
comment Finding the Formula of the Product of $e_{i,j}$ and $e_{k,l}$ to Return Zero Matrix
@Jun-Goo Kwak : Yes. Glad you had fun :)
13h
asked Right-adjoint to the inverse image functor
22h
answered Cluster point. Accumulation point.
22h
comment Finding roots with seemingly no algebraic way
Am I the only one who reads $y=x$ right now? There's something weird with this question.
1d
comment Finding the Formula of the Product of $e_{i,j}$ and $e_{k,l}$ to Return Zero Matrix
@Jun-Goo Kwak : I just realized that since we are summing over $q$ and $\delta_{ql} = 0$ when $q \neq l$, I removed all these terms of the sum. I could've also removed all the terms where $q \neq m$, I would've gotten the same answer.
1d
comment Finding the Formula of the Product of $e_{i,j}$ and $e_{k,l}$ to Return Zero Matrix
@Jun-Goo Kwak : It takes a while and a bit of patience before being able to move the indices around, but it becomes very useful when you start seeing general patterns by using it. Sometimes computing by hand some examples tells you that the symbols are gonna work out if you try them out, but computing examples by hand never gives you proofs, so these symbols are necessary!
1d
comment Galois group of $X^{5}-2X+7$ over $\mathbb{Q}$
If this was in an exam, I think you just cried... at least I would've.
1d
answered Galois group of $X^{5}-2X+7$ over $\mathbb{Q}$
1d
comment Galois group of $X^{5}-2X+7$ over $\mathbb{Q}$
P.S. 2 : Wolfram Alpha says the discriminant is $7494933 = 3 \times 991 \times 2521$... I haven't done this kind of Galois group computation before, but I have a hunch that this big number won't mean much to any of us.
1d
comment Galois group of $X^{5}-2X+7$ over $\mathbb{Q}$
Are you unsatisfied with the discriminant proof or you don't want to go through it? I mean, determining a Galois group of a polynomial of degree $5$ is hard enough as it is... (P.S. Your polynomial has no rational roots.)
1d
answered Finding the Formula of the Product of $e_{i,j}$ and $e_{k,l}$ to Return Zero Matrix
2d
revised Deriving exponential distribution from geometric
added 23 characters in body
2d
answered Deriving exponential distribution from geometric
2d
comment Is every finite group of isometries a subgroup of a finite reflection group?
You might be interested in this : en.wikipedia.org/wiki/…