1,937 reputation
1724
bio website
location Austin, Texas
age 27
visits member for 4 years, 9 months
seen 11 hours ago

I am a postdoc at Indiana University. I got my Ph.D. in May 2014 from UT Austin.


Dec
7
comment What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?
Dear @David, Thank you for this answer! It's especially nice for those of us who aren't at MSRI this semester to see all of this fantastic stuff in person.
Sep
24
awarded  Autobiographer
Jul
30
comment Whittaker models for $GL_n$ and Fourier coefficients
Dear @Rex, The first occurrence of $G$ seems inconsistent with the later occurrences of it (where it seems like it is the reductive group $\mathrm{GL}_2$).
Jul
29
awarded  Nice Question
Jul
29
awarded  Benefactor
Jul
29
comment Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
Yes, you should have just gotten it! I didn't realize I had to click the +50 below the check-mark. Congratulations on your first bounty!
Jul
29
comment Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
Dear @GH from MO, Thank you so much for working through this with me. It's something that has confused me for a long time, but this is a simple, clear answer. I appreciate it!
Jul
29
accepted Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
Jul
24
awarded  Promoter
Jul
23
accepted $C^\infty$-vectors in general representations of Lie groups on locally convex spaces
Jul
23
comment $C^\infty$-vectors in general representations of Lie groups on locally convex spaces
Dear @user56365, Thank you very much! This is great!
Jul
23
comment $C^\infty$-vectors in general representations of Lie groups on locally convex spaces
Dear @Qiaochu, Yes, Hahn-Banach holds for locally convex spaces. That's a nice idea for a candidate akin to how one defines vector-valued integrals in some cases. Is it clear that one recovers the usual notion when $V$ is a Banach space? One (possible) defect is that it doesn't (to me anyway) suggest a natural definition of a tangent map at a point.
Jul
23
revised $C^\infty$-vectors in general representations of Lie groups on locally convex spaces
added 130 characters in body
Jul
23
asked $C^\infty$-vectors in general representations of Lie groups on locally convex spaces
Jul
23
comment If $G$ is compact, $H \leq G$ open, $V$ an irreducible $H$-rep, is $\text{Ind}_H^G$ semisimple?
Is $V$ is a topological vector space over $K$? Finite-dimensional? Is the $G$-action continuous?
Jul
22
revised Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
added 436 characters in body
Jul
22
revised Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
added 624 characters in body
Jul
22
asked Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
Jul
2
comment Rigidity lemma over non-algebraically closed field
morphism over $K$ to deduce that it descends all the way to $k$.
Jul
2
comment Rigidity lemma over non-algebraically closed field
Dear @Joe B, How does (1) show that it is enough to prove the result over $\overline{k}$? The injectivity of the map $\mathrm{Hom}(A,B)\to\mathrm{Hom}(A_{\overline{k}},B_{\overline{k}})$ is the easy part of fpqc descent, but the issue is with whether or not the map you produce over $\overline{k}$ is in the image of this map. Descent theory says that it is if it respects the descent data on the $A_{\overline{k}}$ and $B_{\overline{k}}$. Using limit arguments one can go from $\overline{k}$ to a finite Galois $K$ extension of $k$, but then one must prove $\mathrm{Gal}(K/k)$-invariance of the