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Graduate student at UC Berkeley.


Aug
11
awarded  Commentator
Aug
11
comment Explicit Chebotarev and Langlands - irreducibility of X^5-X-1 mod primes
A congruence class is determined by its traces in all representations. So we may need several modular forms, but once we have them we can say "a prime $p$ has Frob in this congruence class if and only if the coefficients have certain values". You might not be satisfied with this answer, and in some ways I'm not either, but this is analogous to what class field theory gives us.
Aug
10
answered Explicit Chebotarev and Langlands - irreducibility of X^5-X-1 mod primes
Jul
21
answered Optimal covering and CSPNG
Jun
4
asked Uniqueness of cohomological holomorphic discrete series representation
May
10
comment genus 2 Siegel theta series of 3-dimensional lattices
I think Kudla's conjecture on towers tells you this, but I don't know if this proven. Also, even if there is a kernel on the space of forms, it could still be injective for lattices. Maybe this automorphic approach isn't the right one.
May
9
revised genus 2 Siegel theta series of 3-dimensional lattices
Corrected answer: result is massively different from begining due to a misremembered result.
May
8
comment genus 2 Siegel theta series of 3-dimensional lattices
No, the composite does produce a Siegel modular form of weight 2. But I don't believe it is the same as the map you wrote down with theta series, as your three dimensional lattices should produce $3/2$ weight Siegel forms.
May
8
comment genus 2 Siegel theta series of 3-dimensional lattices
The introduction of the paper explains what is going on with $g$: it is an injection. Because we know that Jacquet-Langlands (or the Shimura correspondence) gives us an injection from $G_0(V)$ to $S_2(\Gamma_0(N)), we can compose these two maps. Unfortunately, I got confused over what you were asking for, and the weight is off: the Saito-Kurakowa lifting involves a product as well, and so is not the same thing as the theta series you are asking for.
May
7
answered genus 2 Siegel theta series of 3-dimensional lattices
May
5
answered n torsion groups of quadratic twists of elliptic curves
Apr
17
asked Noncommutivity of various lifts
Sep
24
awarded  Autobiographer
Dec
10
awarded  Scholar
Dec
10
comment Representation-theoretic operations on modular forms
I'm aware AB isn't a eigenform: that's why this question is interesting. Is it an integer combination of eigenforms? It sounds like very little is known in this direction.
Dec
9
awarded  Yearling
Dec
9
awarded  Student
Dec
9
asked Representation-theoretic operations on modular forms
Dec
1
answered Are there any fast algorithms for factoring integers that don't work by searching for smooth numbers?
Nov
28
awarded  Critic