1,818 reputation
1535
bio website math.cornell.edu/~dkmiller
location Ithaca, NY
age 22
visits member for 4 years, 3 months
seen 2 hours ago

I'm working on my PhD at Cornell - my advisor is Ravi Ramakrishna. I'm interested in Galois representations coming from abelian varieties (especially elliptic curves) and how they relate to the arithmetic of L-functions and modular forms. I'm also interested in algebraic geometry a la Grothendieck, and more generally, everything categorical. I like to think that I'm more interested in logic and foundations than the average mathematician.


Aug
21
comment Is there a higher Grothendieck ring?
It wouldn't strictly be a generalization, but note that you could take $K_n(\mathrm{Mot}^\mathrm{num}_k)$, for $\mathrm{Mot}_k^\mathrm{num}$ the category of (numerical) motives over $k$.
Aug
5
awarded  Popular Question
Jul
22
comment Cohomology of Lie groups and Lie algebras
For what it's worth: using \ast for asterisks avoids this problem, as in $H^\ast(g(Q))$
Jul
2
awarded  Curious
Jun
16
awarded  Yearling
Jun
10
asked Cohomology and quotients for the canonical topology
May
9
revised Why are torsion points dense in an abelian variety?
Fixed wierd combo of Tex and HTML
May
9
suggested suggested edit on Why are torsion points dense in an abelian variety?
Apr
24
accepted On formal solutions to differential equations
Apr
22
asked On formal solutions to differential equations
Mar
29
comment Etale cohomology and restricted direct product
Fantastic answer! This is exactly what I was hoping for.
Mar
28
asked Etale cohomology and restricted direct product
Mar
14
awarded  Notable Question
Mar
12
answered question about valuation ring
Feb
13
awarded  Popular Question
Jan
11
awarded  Popular Question
Dec
28
comment Katz--Mazur for abelian varieties
+1: very nice question!
Dec
24
awarded  Favorite Question
Dec
24
comment Which book would you like to see “texified”?
I'll add that I just finished typesetting SGA 4.5 (on etale cohomology). It can be found at math.cornell.edu/~dkmiller/bin/sga4.5.pdf
Nov
13
awarded  Notable Question