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448106
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location Montréal, Québec
age 27
visits member for 3 years, 1 month
seen 14 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


Jul
25
answered Invertible sheaves on affine varieties
Jul
24
comment Are there relations among Frobenii?
@user160609 Thank you, that seems like a fruitful idea. Like Qiaochu, I'd be very curious to actually see such a relation!
Jul
24
comment What are some 'conceptualizations' that work in mathematics but are not strictly true?
Dear @Jonathan: Do you have an example of a situation where $(dx)^2 \neq 0$?
Jul
17
answered Every Artinian ring is isomorphic to a finite direct product of Artinian local rings
Jul
17
comment Viscous Burgers Equation
This has to be the question on this site with the least appetizing title!
Jul
17
comment If $\zeta$ is a function of characters what does it mean for it to be regular?
Dear user, a small precision: I believe that each connected component of the quasi-character space is either a copy of the complex plane, or a copy of $\mathbf C/\mathbf Z$, depending on whether the field is archimedean or not.
Jul
17
revised Number of Primes in Ring of Integers of a Number Field
deleted 496 characters in body
Jul
17
comment Number of Primes in Ring of Integers of a Number Field
Dear @Keenan: Oops! I read too fast again. Thanks!
Jul
17
revised Natural examples of multiplicatively-graded rings
deleted 225 characters in body
Jul
17
comment Natural examples of multiplicatively-graded rings
@Qiaochu: Over addition, right? But yes, indeed... thanks!
Jul
17
revised Number of Primes in Ring of Integers of a Number Field
added 7 characters in body
Jul
17
answered Number of Primes in Ring of Integers of a Number Field
Jul
17
revised Natural examples of multiplicatively-graded rings
added 2 characters in body
Jul
17
revised Natural examples of multiplicatively-graded rings
added 368 characters in body
Jul
16
asked Natural examples of multiplicatively-graded rings
Jul
16
answered $R^{(I)} \cong K \oplus H$ where $R^{(I)}$ is free but $K$ is not free
Jul
16
answered number theory proof regarding number of roots
Jul
15
comment On which groups can homomorphisms be defined subgroup-locally?
Dear Andreas: Excellent! Do you think there are any non-cyclic examples?
Jul
15
revised Trivial Cohomology Group->Lower-Dimensional Homotopy?
added 95 characters in body
Jul
15
answered Identities for L-series and Euler product