bio  website  people.brandeis.edu/~jbellaic 

location  Stony Creek, ÉtatsUnis  
age  
visits  member for  4 years 
seen  54 secs ago  
stats  profile views  11,337 
Professor of Mathematics at Brandeis University
1d

awarded  Nice Answer 
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answered  Examples of intuition from fields other than Physics to solve math problems 
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comment 
Examples of intuition from fields other than Physics to solve math problems
That's a good example. +1. 
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awarded  Yearling 
Sep 15 
reviewed  Approve suggested edit on Is it easy to prove that $\sum_n X(\mathbb{F}_{q^n}) t^n$ is rational? 
Sep 12 
comment 
Is Gauss sum a padic measure?
Dear user57657, can you please write down the formula defining $G(\chi)$ to ensure that everyone understands the same thing with this notation? 
Sep 11 
comment 
multiplicity of automorphic representation of unitary similitude group
In the case where $\pi$ admits a cuspidal base change, I would think that the multiplicity is 1. I am not completely sure because the these HarrisTaylor unitary groups are not the one I ma familiar with, but for the groups I work with Chenevier in my book "Families of Galois Representations and Selmer Groups". I know that's true. 
Sep 11 
comment 
Field of definition of Galois representations of weight 1 modular forms
Hi David. What is the LMFDB? 
Sep 11 
revised 
Field of definition of Galois representations of weight 1 modular forms
edited tags 
Sep 11 
answered  Field of definition of Galois representations of weight 1 modular forms 
Sep 7 
answered  Understanding the “idea” behind Langlands 
Sep 4 
comment 
Sheaf isomorphism $\mathcal{F}\rightarrow f_{\ast}f^{\ast}(\mathcal{F})$?
I don't understand the notations. You are talking of sheaf but a sheaf in what? sets, abelian groups, $O_Y$modules? How do you define $f^\ast$ as opposed to $f^{1}? 
Sep 2 
awarded  Custodian 
Sep 2 
reviewed  Reviewed Dimension of Inverse image 
Sep 2 
comment 
Dimension of Inverse image
Welcome to MO, Ishita. The answer to your question is no: take $M=\mathbb R^2$, $N=\mathbb R$, $f(x,y)=x^2+y^2$. Then $0$ is a critical value, and $f^{1}(0)=\{(0,0)\}$ is a smooth manifold of dimension 0. That being said, math.stackexchange is a better forum for this type of question. MO is for researchlevel question, while yours is a question at the level of a first course in differential geometry, something like (in the US system) an advanced undergrad or firstyear grad course. 
Aug 29 
revised 
Elliptic curves with trace of Frobenius values always congruent to 0 modulo 2
deleted 27 characters in body 
Aug 29 
comment 
Elliptic curves with trace of Frobenius values always congruent to 0 modulo 2
Yes, of course. I edit. 
Aug 29 
answered  Elliptic curves with trace of Frobenius values always congruent to 0 modulo 2 
Aug 26 
comment 
Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^21)$
0.350... You're getting close! But you should consider writing explicitly in your answer, near the numerical examples, that an example with $m/l < 0.333$ would be a counterexample to the original OP's conjecture. Right now a new reader has to read carefully Lucia's answer or the comment on yours to find this information. 
Aug 18 
comment 
Kernel of the character of congruence groups
Dear Abdullah, I have slightly edited your question in order to introduce the precisions you gave in comments. 