29,322 reputation
244106
bio website math.princeton.edu/~wsawin
location Princeton, NJ
age 21
visits member for 3 years, 4 months
seen 2 hours ago

I am a graduate student at Princeton studying arithmetic algebraic geometry.


2d
comment Elliptic curves and connected components
and this is essentially the same as the continuity argument that Steven sketched, which is also valid.
Jan
27
revised Constructive proof of “Projective implies proper”
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Jan
26
comment Some calculus in the orthogonal group $O(n)$
Why do the complex eigenvalues average out to 0?
Jan
25
revised Tannakian fundamental group of two explicit tensor categories
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Jan
25
revised Tannakian fundamental group of two explicit tensor categories
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Jan
25
comment Tannakian fundamental group of two explicit tensor categories
It's because of Goursat's Lemma. because $PGL_n$ is a simple group, if you have $k$ maps to $PGL_n$ then the induced map to $\left(PGL_n\right)^k$ is surjective. My claim is more that the group is so large that it's not very helpful to describe it.
Jan
24
answered Tannakian fundamental group of two explicit tensor categories
Jan
19
comment Does the minima of a sequence of convex convergent functions converge?
@AlexRavsky fixed.
Jan
19
revised Does the minima of a sequence of convex convergent functions converge?
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Jan
15
answered Hilbert polynomial for any invertible sheaf
Jan
13
answered Elementary Proof of the Uniqueness of Smooth Structures on R
Jan
8
asked Can the method of small moments prove a bound on the norms of random trilinear forms?
Dec
26
awarded  Good Answer
Dec
26
revised Number of elements of “$\mathrm{SL}_n(\mathbb{F}_p^\times)$” mod $p$
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Dec
26
awarded  Nice Answer
Dec
26
answered Number of elements of “$\mathrm{SL}_n(\mathbb{F}_p^\times)$” mod $p$
Dec
24
comment Moments of random special unitary matrices
You can view it as the trace of a $k$-cycle in $S_k$ acting on the invariant subspace of $V^{\otimes k}$.
Dec
23
comment The uniform boundedness of rational torsion for traceless abelian surfaces over a function field
this kind of work might be helpful. I think it essentially says that you can't obtain unbounded torsion with bounded gonality from covers of a single curve: math.polytechnique.fr/~cadoret/Gonality.pdf
Dec
22
comment The letters of the word “ART”
@AliTaghavi Aren't such $X$ closed subsets of $\mathbb R^2$, hence locally compact?
Dec
21
answered The letters of the word “ART”