2,128 reputation
11021
bio website condor.depaul.edu/~nramsey
location Chicago
age 36
visits member for 3 years, 10 months
seen 15 hours ago
I'm interested in $p$-adic properties of modular forms and special values of their $L$-functions. Recently, I've thought a bit about Euclidean rings and Euclidean ideals.

Jul
2
awarded  Curious
Jun
9
comment Example of a non-smooth irreducible component of the generic fibre of a Hida family?
I'm curious, are the details of the heuristic you referred to easily summarizable?
Mar
24
comment Ramanujan's tau function
Keith: Thanks! That's sort of what I thought he was getting at too. I guess what I find curious is that I'm "worried about the exponent 24" but not because it adds to the extravagance of the expression. This is the only exponent that makes it modular. To ask a rather figurative version of the OP's question: How did he know this? Relatedly, why didn't he just do away with the leading $q$ since it adds little apparent interest to the series without knowing something about modularity?
Mar
23
comment Ramanujan's tau function
I have no idea what the last sentence of the third paragraph means, but somehow I really want to.
Feb
19
comment Lines in image; are they significant to prime numbers if so how?
I really want to play that record.
Jan
9
reviewed Approve suggested edit on Salie-type sum bound
Jan
9
reviewed Approve suggested edit on Estimating a sum of gauss sums
Jan
8
awarded  Yearling
Jan
5
comment L-functions and algebraic geometry
There are lots of articles and books and such on the "general philosophy" of $L$-functions from various points of view. You might want to ask something a little more pointed. For example, are you perhaps asking about what algebreo-geometric information can be gleaned from $L$-functions? The Weil conjectures you mention, for example, say that $L$-functions encode something about counting points on varieties.
Jan
1
awarded  Custodian
Jan
1
reviewed Approve suggested edit on norm of the matrix series
Dec
12
comment Representation-theoretic operations on modular forms
I think that the paper "Multiplying Modular Forms" by Marty Weissman addresses something along these lines.
Dec
5
answered Does push forward commute with taking dual?
Nov
25
awarded  Nice Question
Apr
25
awarded  Necromancer
Feb
22
revised Understanding Adjointness of Sheaves in Algebraic Geometry
deleted 40 characters in body
Feb
22
comment Understanding Adjointness of Sheaves in Algebraic Geometry
Oy. I was thinking about finite maps. I'm going to edit.
Feb
22
answered Understanding Adjointness of Sheaves in Algebraic Geometry
Feb
8
comment How do you pronounce “Hartshorne”?
I once heard somebody quip that the man's name is pronounced "Hart's Horn" but the book is pronounced "Hart Shorn."
Jan
25
comment Constructible topology on schemes
I don't know if this question will survive, but I'll admit that, as a non-expert who's never really had occasion to work with constructible sets, this is something I've been idly curious about on a handful of occasions. I'd like to hear the short version of why they're useful and maybe see a quick example or two.