42,194 reputation
7138286
bio website math.uga.edu/~pete
location Athens, GA
age 38
visits member for 5 years, 6 months
seen 4 hours ago
assistant associate prof of math @ University of Georgia.

Primary research interests: number theory, arithmetic geometry, Galois cohomology

Secondary research interests: field theory, commutative algebra, general topology, model theory, and various combinations thereof

I also have an enduring interest in mathematical exposition.

Apr
20
revised Proofs by induction
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Apr
19
revised Proofs by induction
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Apr
16
revised Fundamental Examples
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Apr
15
awarded  Good Answer
Apr
11
comment Proofs of the Chevalley-Warning Theorem
@darij: Currently it's 127 pages, and things are busy, so...
Apr
6
awarded  Good Question
Mar
23
awarded  Popular Question
Mar
18
revised Proofs of the Chevalley-Warning Theorem
deleted 8 characters in body
Mar
17
awarded  Nice Answer
Mar
8
comment Upper bound for the number of integral points in a convex set
Theorem 7.2.1 in Han Duong's Minimal Volume K-point Lattice D-simplices (I googled for it) shows a roughly similar bound for lattice polyhedra. So the question seems to be plausible, at least. I would be interested to hear a bit more in the way of background...
Feb
27
awarded  Nice Answer
Feb
15
awarded  Good Answer
Jan
26
awarded  Nice Answer
Jan
25
awarded  Notable Question
Jan
5
comment Companion to theoretical physics for working mathematicians
@Allen: Yes, but no Princeton Comprehensive Companion to Mathematics. (Perhaps I am taking that one word too seriously...)
Dec
28
comment Companion to theoretical physics for working mathematicians
The idea that one book could be a comprehensive companion to any well-established academic field strikes me as a bit far-fetched.
Dec
28
comment Splitting varieties of two Galois cohomology symbols
Maybe I didn't understand what you meant by a splitting variety for both symbols. I took that to mean a variety $X$ which for $L/k$ has an $L$-rational point iff both cohomology classes become trivial upon restriction to $L$. If so, $(X_{\alpha} \times X_{\beta})(L) \neq \varnothing \iff X_{\alpha}(L) \neq \varnothing$ and $X_{\beta}(L) \neq \varnothing$. There's no more to my answer than that.
Dec
28
answered Splitting varieties of two Galois cohomology symbols
Dec
17
awarded  Popular Question
Dec
14
awarded  Notable Question