bio | website | people.ucsc.edu/~weissman |
---|---|---|
location | Around and about | |
age | 37 | |
visits | member for | 4 years, 9 months |
seen | 1 hour ago | |
stats | profile views | 5,352 |
Associate Professor, Yale-NUS College, Singapore.
Associate Professor of Mathematics, UC Santa Cruz. (On leave)
Research interests: Automorphic representations and representations of p-adic groups, especially exceptional groups and "metaplectic" groups lately. Theta correspondences (exceptional ones). Geometric methods in representation theory. Periods and Hodge theory. Model theory applied to number theory and geometry.
Book blog: Illustrated Theory of Numbers
Sep 22 |
awarded | Enlightened |
Sep 15 |
comment |
Results true in a dimension and false for higher dimensions
Every cubic polynomial map from $\mathbb C^n$ to $\mathbb C^n$ with nowhere vanishing Jacobian is a bijection. This is true for $n \leq 17$ but fails for larger $n$. Just kidding... but perhaps someday I'll edit the answer, change 17 appropriately and will gain some upvotes. |
Sep 5 |
comment |
Recognize this strange expression from linear algebra?
Ahh - or arrgh.. This gets more interesting though. I'll think about how to phrase things in terms of a cocycle. And please don't take offense for the removal of acceptance. I'm also hoping that someone might recognize it from another context and contribute another answer. |
Sep 3 |
comment |
Recognize this strange expression from linear algebra?
Wonderful, thank you! (And you did say "cocycle".) |
Sep 2 |
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Recognize this strange expression from linear algebra?
Nick - I can only take credit for the pasta-related one. But I'll keep the other to maximize the tag-contribution. |
Sep 2 |
awarded | Nice Question |
Sep 2 |
asked | Recognize this strange expression from linear algebra? |
Aug 29 |
answered | Are the quaternions not uncountably categorical? |
Aug 16 |
awarded | Enlightened |
Aug 13 |
comment |
What is the analogue of simple prime closed geodesic for prime numbers?
Birman and Series (J. Lond Math Soc 1984) characterize non-self-intersection of a closed loop via a group-theoretic property of the corresponding element in the fundamental group. Their characterization depends on the Nielesen generators available for $\pi_1$ of cpt orientable surfaces with non-empty bdry. Wild out of the blue idea: try something similar, with Frobenius at $p$, and the usual generators of the Grothendieck-Teichmuller group. |
Aug 8 |
comment |
Examples of research on how people perceive mathematical objects
Have you seen George Lakoff, "Where mathematics comes from?" He's a cognitive linguist at Berkeley, well-known for work on metaphor. See amazon.com/Where-Mathematics-Come-From-Embodied/dp/0465037712 |
Jul 2 |
awarded | Curious |
Jun 26 |
awarded | Nice Answer |
Jun 6 |
revised |
How to estimate the Haar measure on $G_2$
expressed my growing confidence :p |
Jun 6 |
revised |
How to estimate the Haar measure on $G_2$
Changed a 6 to a 7. |
Jun 6 |
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How to estimate the Haar measure on $G_2$
I'm very curious where this sequence of real numbers came from! |
Jun 6 |
answered | How to estimate the Haar measure on $G_2$ |
May 13 |
comment |
Functoriality for triple product GL(2) x GL(2) x GL(2)
The slightly longer answer is that proving such a result using traditional methods would be to check nice analytic properties for L-functions of twists, e.g. L(s, f x g x h x j) where j is an automorphic form on GL(7) (or a bit lower if you're lucky). That's out of range for now, as far as I can tell. |
May 2 |
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Does every reductive group scheme admit a maximal torus?
A maximal torus T in GL(E) over S (with E a vector bundle) gives a decomposition of the vector bundle into line bundles. You can see this, even working with S a smooth variety over the complex numbers, since the eigenspaces for T give a local decomposition of E into 1-dim spaces. |
Mar 24 |
awarded | Popular Question |