bio | website | math.uga.edu/~pete |
---|---|---|
location | Athens, GA | |
age | 39 | |
visits | member for | 5 years, 9 months |
seen | yesterday | |
stats | profile views | 28,739 |
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.
NOTE: In Spring 2015 my department adjusted the mechanics of its webpage, which broke a lot of my links. For now, if you see a broken link like http://www.math.uga.edu/~pete/inversemw.pdf, try changing it to http://math.uga.edu/~pete/inversemw.pdf. It should fix the problem.
Jul 22 |
awarded | Good Answer |
Jul 22 |
awarded | Nice Answer |
Jul 16 |
awarded | Good Answer |
Jul 7 |
comment |
uncountable algebraically closed field other than C ?
@potentially dense: See $\S$12.2 of math.uga.edu/~pete/FieldTheory.pdf. Alternately, as the comments describe, from a model theoretic perspective this is a consequence of the model completeness of the theory of algebraically closed fields, itself a corollary of quantifier elimination in such fields. For that perspective, see $\S$5.4 of math.uga.edu/~pete/modeltheory2010FULL.pdf. (Or better, see any introductory model theory text whatsoever...) |
Jul 7 |
comment |
A quasicompact space with a net that contains no convergent strict subnet
In other words...compact does not imply sequentially compact. |
Jun 19 |
awarded | Nice Question |
Jun 1 |
revised |
Is there an introduction to probability theory from a structuralist/categorical perspective?
deleted 4 characters in body |
May 30 |
comment |
Naturally occuring groups with cardinality greater than the reals.
@few__reps: Certainly; this kind of cardinality construction is pursued in more generality in math.uga.edu/~pete/settheorypart4.pdf. The point is that it trivially works for all infinite cardinals, so it is precisely what I mean to exclude when I asked (not so precisely) for a "natural example". |
May 30 |
awarded | Good Answer |
May 27 |
comment |
What are the most misleading alternate definitions in taught mathematics?
@Alexey: Yes, you are using that $a \mapsto \overline{a}$ is a group homomorphism and that addition in $\mathbb{Z}$ is associative. |
May 17 |
awarded | Nice Answer |
May 15 |
awarded | Nice Answer |
May 2 |
awarded | Good Answer |
May 1 |
awarded | Great Question |
Apr 30 |
revised |
Which commutative groups are the group of units of some field?
deleted 4 characters in body |
Apr 28 |
awarded | Necromancer |
Apr 26 |
awarded | Nice Answer |
Apr 20 |
revised |
Proofs by induction
added 2 characters in body |
Apr 19 |
revised |
Proofs by induction
deleted 8 characters in body |
Apr 16 |
revised |
Fundamental Examples
deleted 41 characters in body |