bio | website | condor.depaul.edu/~nramsey |
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location | Chicago | |
age | 36 | |
visits | member for | 4 years |
seen | yesterday | |
stats | profile views | 1,545 |
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.
Jan 8 |
awarded | Yearling |
Nov 30 |
awarded | Nice Answer |
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 Salie-type sum bound |
Jan 9 |
reviewed | Approve 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 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 |