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I'm a graduate student at UT Austin. My e-mail address is kkidwell@math.utexas.edu.

Apr
16
comment Reference for $p$-adic Hodge theory with coefficients
Do you just mean representations over $L$ instead of $\mathbf{Q}_p$? Also, what is $\mathrm{GL}_V(L)$? Do you mean $V$ is a finite-dimensional $L$-vector space, and the group is $\mathrm{GL}(V)$? In any case, the various properties, de Rham, semistable, etc., can be defined in terms of the underlying $\mathbf{Q}_p$-vector space of dimension $\dim_L(V)[L:\mathbf{Q}_p]$. Also, for a more intrinsic (but equivalent) characterization, see Proposition C.2.2 on page 55 of Rebecca Bellovin's paper here: arxiv.org/abs/1306.5685
Mar
30
comment equivalence of Grothendieck-style versus Cech-style sheaf cohomology
Dear @Georges, I've seen a couple slightly (a priori) different definitions of locally contractible: the more natural one, in my opinion, that there is a base of open contractible sets, and then the (apparently weaker) one, that for each open $V\subseteq X$ and $x\in V$, there is an open $x\in U\subseteq V$ and a continuous map $F:U\times[0,1]\to V$ such that $F(u,0)=u$ and $F(u,1)=x$ for all $u\in U$ (so $U$ is "contractible to $x$ in $V$"). Which definition is being used in the comparison result you cite in (1)?
Mar
17
comment Singular cohomology as a Zariski sheaf
Minor correction: there is generally no $0$ at the end of the first short exact sequence.
Mar
10
awarded  Popular Question
Mar
2
awarded  Yearling
Feb
28
answered Commutator of algebraic subgroups is connected
Feb
14
comment Examples of non-split algebraic groups
Once source of many examples is Weil restriction of scalars. For example, take a non-trivial finite Galois extension $E/F$ and a split torus $T$ over $E$. Then $\mathrm{Res}_{E/F}(T)$ is a non-split torus over $F$ that is split by $E$ (it's non-split because its character lattice has a non-trivial Galois action).
Jan
28
answered Is any continuous group homomorphism from R to C* an exponential map?
Jan
7
awarded  Popular Question
Dec
17
revised Iwasawa's invariants
added 1569 characters in body
Dec
17
answered Iwasawa's invariants
Dec
10
answered Pontryagin dual
Dec
2
comment Place stabilizers for the absolute Galois Group
Dear @Adam, I edited in an answer to your questions.
Dec
2
revised Place stabilizers for the absolute Galois Group
Answered question in comments
Oct
23
awarded  Tumbleweed
Oct
16
revised Correct definition of locally algebraic parabolic induction of a locally algebraic character
added 13 characters in body
Oct
16
revised Correct definition of locally algebraic parabolic induction of a locally algebraic character
added 13 characters in body
Oct
16
asked Correct definition of locally algebraic parabolic induction of a locally algebraic character
Oct
2
awarded  Caucus
Jul
26
revised Natural construction of Hodge (Phi,Gamma)-modules
I cleaned up the LaTeX.