325 reputation
210
bio website davidlowryduda.com
location Providence, RI
age 26
visits member for 4 years, 4 months
seen Aug 31 at 0:58

I'm working on my Math PhD at Brown University. I've finished my third year, and now I pursue my interests in analytic number theory. In particular, I study automorphic forms under Dr. Jeff Hoffstein.

I happen to loosely update a math blog at davidlowryduda.com. I put a lot of MSE things on there too, though a lot of the material caters to whatever class I'm teaching at the time (this fall, calc I).


Aug
10
comment Explicit Chebotarev and Langlands - irreducibility of X^5-X-1 mod primes
Let's say we have that modular form and we completely understand it. How do we extract such a set of primes as the OP asked for from it?
Aug
9
comment Mathematical software wish list
@shardulc ideally, all three. That is, I'd like a search engine that indexes both normal language and latex. In my example in GR, I was thinking along the lines of your second question about a specific formula, which is (as far as I know) not at all an available service.
Aug
8
awarded  Good Answer
Aug
7
awarded  Nice Answer
Aug
7
awarded  Teacher
Aug
7
answered Mathematical software wish list
May
11
asked Extracting information from $\sum_{n \leq X} a(n) (X-n)^d$
Apr
4
awarded  Curious
Apr
3
awarded  Yearling
Apr
3
asked A Generalized Wiener-Ikehara Theorem with multiple poles on the line
Mar
8
comment Are the 'semi' trivial zeros of $\zeta(s) \pm \zeta(1-s)$ all on the critical line?
I like these plots a lot. How did you make them?
Nov
25
comment A game of stones
This is what I was going for, but I kept stumbling over myself. Good, simple proof.
Nov
14
asked Oscillatory integral moments of $L(\frac{1}{2} + it, f \times f)$
Jun
2
comment Cesaro(?)/Euler(?) - summation of the $s(p)=\sum_{k=0}^\infty (-1)^{H(k)} (1+k)^p$ for $p=1,2,3,…$ (where $H(k)$ is the Hamming-weight)
I really like this question, and it did not receive too much attention on MSE. So I'm migrating it to MO.
Mar
17
comment What is a sieve and why are sieves useful?
If you'll forgive the self-reference, I gave an expository talk about sieves.
Feb
11
awarded  Critic
Dec
7
comment Name or references for minimal $N$ such that $\left(\frac{a}{b}\right)_n = \left(\frac{a}{b'}\right)_n$ whenever $b \equiv b' \bmod (N)$
Thank you! Now I feel a bit guilty, because I've seen and maybe even said the word "conductor" quite a bit in other contexts, but haven't followed up on it yet. It's time to rectify that! (I really should learn class field theory sometime too)
Dec
7
accepted Name or references for minimal $N$ such that $\left(\frac{a}{b}\right)_n = \left(\frac{a}{b'}\right)_n$ whenever $b \equiv b' \bmod (N)$
Dec
7
asked Name or references for minimal $N$ such that $\left(\frac{a}{b}\right)_n = \left(\frac{a}{b'}\right)_n$ whenever $b \equiv b' \bmod (N)$
Aug
31
awarded  Autobiographer