40,228 reputation
397204
bio website
location Pasadena
age 26
visits member for 4 years, 10 months
seen 1 hour ago
I am an undergraduate (mathematics) student at Caltech. You can contact me at gzaimi[]caltech.edu

2h
comment Is every number the sum of two cubes modulo p where p is a prime not equal to 7?
There should be a simpler proof using the Cauchy Davenport inequality. (We might need Vosper's result which also characterizes when equality can happen)
3h
accepted Is there a geometric meaning of the Major index?
9h
comment Is there a geometric meaning of the Major index?
@ChristianStump, If you want you can upgrade your comment to an answer (I would accept it :-)). What I had in mind was to compute cohomology in different ways (perhaps localize with respect to different group actions or something along those lines), but since this wouldn't distinguish the symmetric group among other Weyl/Coxeter groups, I am less hopeful because of the reasons you mention.
15h
comment How do I check that this is a Frobenius algebra?
@AndréHenriques The main steps are roughly: 1) Reduce the global duality theorem (the statement in your question) to the local case around a single zero. 2) Prove it for the case $f_i=z_i^{k_i}$. 3) Deduce the general form by using the transformation formula (which says that if you take the residue with respect to $Af$ then the residue changes by factor of $\det (A)$.)
16h
answered How do I check that this is a Frobenius algebra?
Oct
20
comment A curious Gauss-Sum type identity
What is the numerator when $j=1$? Or is the "j-2" a typo?
Oct
15
awarded  Notable Question
Oct
12
answered Finding a sufficiently large complete bipartite subgraph using matrix counting
Oct
2
awarded  Good Answer
Sep
30
awarded  Explainer
Sep
29
answered Decimal binary sequences that cannot be greater than 1
Sep
24
awarded  Autobiographer
Sep
10
comment Proving that the Jones polynomial is q-holonomic
Thanks, this was very helpful! I would be curious to see a proof of holonomicity using the cabling formula involving the polynomial representation of DAHA. I will check the references you gave.
Sep
10
revised Proving that the Jones polynomial is q-holonomic
edited tags
Sep
9
asked Proving that the Jones polynomial is q-holonomic
Sep
7
answered What are reasons to believe that e is not a period?
Sep
4
revised How many sequences of length n satisfy these constraints?
deleted 30 characters in body; edited title
Aug
23
answered How do I find coefficients of a product expansion
Aug
23
comment Largest possible volume of the convex hull of a curve of unit length
This is the same as the curve mentioned in my answer, right? I believe the reference goes further back than 2010 :)
Aug
12
awarded  Good Question