27,575 reputation
449111
bio website
location Montréal, Québec
age 27
visits member for 3 years, 4 months
seen 4 hours ago

Ph.D. candidate at McGill University working in the field of number theory, under the supervision of Professor Henri Darmon.

My current interests are centered around $p$-adic modular forms, $p$-adic $L$-functions, and other topics related to the Birch and Swinnerton-Dyer conjecture.


Some fun answers of mine:

A series of rationals whose every subseries is irrational

Is every rigid field perfect?

Prove $\sum^{\infty}_{n=1} \frac{a_{n+1}-a_{n}}{a_{n}}=\infty$ for an increasing sequence $a_n$ of positive integers

The prime spectrum of a Dedekind domain

A fun integral

The same integral, solved in another way

All elements in $\mathbb{Z}/n\mathbb{Z}$ are representable as sum of a square and a cube?

Algebraic varieties in $\mathbf C^n$ have no interior points

A function with a critical point


10h
comment different factors of irreducible polynomials over a Galois extension does not share roots
@Crocodile My pleasure.
10h
answered different factors of irreducible polynomials over a Galois extension does not share roots
2d
comment Picard group schemes of degree d
What do you mean by the Picard group of degree $d$? If you mean the set of degree $d$ line bundles on $C$, then this is not a group for $d \neq 0$. It is, however, a principal homogeneous space under the degree $0$ Picard group.
Oct
16
awarded  Nice Answer
Oct
15
comment Nice derivation of $\sum_{n=1}^\infty \frac{1}{n} \left( \frac{q^{2n}}{1-q^n}+\frac{\bar q^{2n}}{1-\bar q^n}\right)=-\sum_{m=2}^\infty \ln |1-q^m|^2$
Cool stuff! The function $Z$ is almost the inverse of the Dedekind eta function.
Oct
15
comment Let $f$ be a morphism of chain complexes. Show that if $ker(f)$ and $coker(f)$ are acyclic, then $f$ is a quasi-isomorphism.
@kpax You are welcome. I think that the converse is definitely not true. I'll leave it up to you to come up with a counter-example!
Oct
14
revised Is a space with no nontrival vector bundles contractible?
added 36 characters in body
Oct
14
comment Is a space with no nontrival vector bundles contractible?
Sorry, $X$ was meant to be connected. I have edited the question!
Oct
14
comment Values of L-function
I didn't downvote, but it would be good to explain your notation (what is $\gamma$? any real number?).
Oct
14
accepted Small deformations of smooth projective varieties
Oct
14
revised Is a space with no nontrival vector bundles contractible?
edited body
Oct
14
answered Let $f$ be a morphism of chain complexes. Show that if $ker(f)$ and $coker(f)$ are acyclic, then $f$ is a quasi-isomorphism.
Oct
13
comment Small deformations of smooth projective varieties
Thank you Jake, that is very helpful. It hadn't occurred to me that non complete intersections were "singular" in this sense, but now it is very clear. Could something weaker still be true, say that they have the same homotopy type?
Oct
12
revised Small deformations of smooth projective varieties
added 11 characters in body
Oct
12
asked Small deformations of smooth projective varieties
Oct
8
awarded  group-theory
Oct
8
asked Is a space with no nontrival vector bundles contractible?
Oct
7
accepted Bounding the cohomology of a smooth projective variety
Oct
7
answered If permutation matrices are conjugate in $\operatorname{GL}(n,\mathbb{F})$ are the corresponding permutations conjugate in the symmetric group?
Oct
7
answered Bounding the cohomology of a smooth projective variety