21,446 reputation
13162
bio website facebook.com/paterz1
location Montreal, Canada
age 23
visits member for 3 years, 6 months
seen 8 hours 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.


2d
comment How can I mathematically proof an incoherent superposition of waves?
...so non-constant. You still have no chance ; you need to assume more properties. Are they periodic functions for instance?
2d
comment How can I mathematically proof an incoherent superposition of waves?
What do you know about $A(t)$ and $B(t)$? (If they are totally arbitrary functions, you have no chance).
Nov
24
revised How to verify an algebraic structure is a ring
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Nov
24
answered Does the following Multiplication have nonzero divisors
Nov
24
answered Write the determinant as a polynomial expression in the elementary symmetric polynomials
Nov
23
comment on the adjointness of the global section functor and the Spec functor
But Hartshorne does say that! He glues schemes in Exercise 2.12, page 80, and he glues morphisms in page 88, Step 3. It's even in the index under "Glueing". I am always careful before I say Hartshorne doesn't say something, because Hartshorne says a lot of things in its exercises.
Nov
23
revised How to prove there is no bijection between a set and its second power set?
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Nov
16
comment Showing a set of limit points of a sequence of measurable functions is measurable.
I don't think integrals would help here to be honest.
Nov
16
comment Showing a set of limit points of a sequence of measurable functions is measurable.
@Mathstudent : You can either work with $\pm \infty$ in your $\sigma$-algebra for $\mathbb R$ or take the subset of points where it is finite. (It is less of a problem as in the limit case, because at least the $\limsup$ is always defined, just sometimes taking the $\infty$/$-\infty$ value.)
Nov
15
answered Showing a set of limit points of a sequence of measurable functions is measurable.
Nov
15
comment Isomorphism type of two quotient groups of $G=\mathbb{Z}^\times_{16}$
@Derek Holt : Now this is better.
Nov
15
revised Isomorphism type of two quotient groups of $G=\mathbb{Z}^\times_{16}$
added 471 characters in body
Nov
15
comment Isomorphism type of two quotient groups of $G=\mathbb{Z}^\times_{16}$
@DerekHolt : Bleh, I don't pay enough attention on this website anymore... I guess I forgot about $Z_4 \times Z_2$.
Nov
15
revised Isomorphism type of two quotient groups of $G=\mathbb{Z}^\times_{16}$
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Nov
15
revised Isomorphism type of two quotient groups of $G=\mathbb{Z}^\times_{16}$
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Nov
15
comment Isomorphism type of two quotient groups of $G=\mathbb{Z}^\times_{16}$
@DerekHolt : Then... =)
Nov
15
answered Isomorphism type of two quotient groups of $G=\mathbb{Z}^\times_{16}$
Nov
15
comment Find the probability that the equation $x^2+0.5x\sqrt{Y}+Z=0$ has real roots in x.
There's two "third"s in your answer :)
Nov
14
answered Find the probability that the equation $x^2+0.5x\sqrt{Y}+Z=0$ has real roots in x.
Nov
14
comment Any finite morphism to $\mathbb P^2$ is ramified
"..in the fundamental text on the fundamental group by Grothendieck..." This guy is so fundamental. So sad he passed away today.