1,927 reputation
1724
bio website
location Austin, Texas
age 27
visits member for 4 years, 7 months
seen 6 hours ago

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


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
Jul
2
awarded  Curious