299 reputation
17
bio website tlovering.wordpress.com
location Harvard
age 24
visits member for 3 years, 8 months
seen 12 hours ago

I recently completed four years of undergraduate studies at Cambridge University, and in 2012 started work as a graduate student at Harvard. I am interested in algebraic varieties over number fields, and thinking about the information stored in their associated Galois representations. I also like looking for connections between number theory and algebraic topology.


Jan
22
accepted Torsors and the fpqc topology
Jan
21
asked Torsors and the fpqc topology
Jul
19
comment “Why” is every polynomial representation of SL(2) selfdual?
Why is this? Do you need $p$ odd? (In the case $p=2$ it looks to me like perhaps conjugating by the matrix with 1s along the antidiagonal should exhibit self-duality, unless I've made a foolish error, which is likely).
Jun
27
comment What are limits of discrete series and which are cohomological?
Thank you, those references are extremely helpful.
Jun
27
comment Maximum dimension of an isotropic subspace in a quadratic space
Of course I meant $U$. So I was suggesting if you take the projection map $V \rightarrow U$, its kernel is negative definite, so in particular intersects any isotropic subspace trivially, so under this map, isotropic subspaces are embedded as subspaces of U.
Jun
26
comment Maximum dimension of an isotropic subspace in a quadratic space
You could consider the projection map onto the positive definite subspace?
Jun
25
revised What are limits of discrete series and which are cohomological?
added 3 characters in body
Jun
25
asked What are limits of discrete series and which are cohomological?
Jun
25
awarded  Yearling
Apr
16
awarded  Teacher
Apr
16
answered Integer multiples of a irrational dense in R/Z ?
Apr
6
comment L-functions and higher-dimensional Eichler-Shimura relation
A good reference for the method Kevin is talking about seems to be the paper of Scholze arxiv.org/pdf/1003.1935.pdf In this paper he does rather more (also checking the equivalent of an Eichler Shimura relation at bad places), but it isn't too difficult to fish out the pieces you want, in particular he checks the boundary components line up.
Feb
25
accepted Is strong multiplicity one (obviously) stronger than multiplicity one?
Feb
25
comment Is strong multiplicity one (obviously) stronger than multiplicity one?
@Nosr When I say 'q-expansion principle' here I just mean the fact that a q-expansion uniquely determines its modular form, sorry. @Dror Ah, that would define my question nicely out of existence (and possibly give anecdotal evidence that with my definition it's not true...).
Feb
25
asked Is strong multiplicity one (obviously) stronger than multiplicity one?
Oct
6
awarded  Nice Question
Oct
5
asked Motivic generalisation of Neron-Ogg-Shaferevich criterion
May
31
accepted What are the truly 'global methods' in number theory?
May
30
asked What are the truly 'global methods' in number theory?
Mar
30
awarded  Autobiographer