Blogs about: Mathag
Featured Blog
Dvir's proof of the finite field Kakeya conjecture
One of my favourite unsolved problems in mathematics is the Kakeya conjecture in geometric measure theory. This conjecture is descended from the Kakeya needle problem. (1917) What is the least area… more »
What's new
Dvir's proof of the finite field Kakeya conjecture
— 22 comments
Terence Tao wrote 3 months ago: One of my favourite unsolved problems in mathematics is the Kakeya conjecture in geometric measure t … more »
The Segre Embedding
— 2 comments
Charles wrote 5 months ago: Today, we talk about the Segre Embedding. This will let us say a bit more about the products of var … more »
The Veronese Embedding
— 2 comments
Charles wrote 5 months ago: Now we’ve got some basic theory under our belts. Time to get a handle on specific objects. N … more »
Elliptic Curves
— 2 comments
Charles wrote 5 months ago: We’ve now spoken about all sorts of invariants, the most important ones being derived from the … more »
Bezout's Theorem
— 6 comments
Charles wrote 5 months ago: Now we’re ready for our first big geometric theorem. We’ll prove Bezout’s Theorem … more »
The Hilbert Polynomial
— 2 comments
Charles wrote 5 months ago: Now that we have algebra on our side, we can start doing some real geometry. Today we’ll look … more »
Gradings of Rings and Modules
— 2 comments
Charles wrote 6 months ago: Today we do a bit of commutative algebra which we’ll need later. Once we’ve got this, w … more »
Varieties over other Fields
Charles wrote 6 months ago: And we’re back, hope everyone enjoyed their holidays and their new year, and we’ll start … more »
Algebraic Groups
— 3 comments
Charles wrote 6 months ago: So now we begin one of the great examples in algebraic geometry: algebraic groups. These are except … more »
Morphisms of Varieties
— 3 comments
Charles wrote 6 months ago: Last time we brought in a bunch of the algebra necessary to do algebraic geometry, now we’ll t … more »
Some Commutative Algebra and a bit of Geometry
— 1 comment
Charles wrote 6 months ago: Before moving on to morphisms of varieties, it would do us some good to talk about a bit of commutat … more »
Projective Varieties
— 3 comments
Charles wrote 6 months ago: Yesterday, there was talk of affine varieties, and I pointed out the fact that intersections don … more »
Hilbert's nullstellensatz
— 11 comments
Terence Tao wrote 7 months ago: I had occasion recently to look up the proof of Hilbert’s nullstellensatz, which I haven … more »
Groebner Bases and Automatic Geometry
Charles wrote 8 months ago: Today I’m going to talk about using modern methods of algebraic geometry to automate (in large … more »
Elliptic Curves
Charles wrote 8 months ago: So, on Thursday, I posted some background stuff, which I think I might continue to do in the future. … more »
Locally Ringed Spaces and Varieties
— 2 comments
Charles wrote 8 months ago: Ok, I’m writing this now specifically so that I don’t have to do it in my Monday post, b … more »
Geometry of a Polynomial
— 1 comment
Charles wrote 9 months ago: This week, we’re going to talk about some of the more important ideas in algebraic geometry, a … more »
Filtrations in Algebraic Geometry
— 1 comment
Greg Muller wrote 10 months ago: When learning scheme theory, the first important functor one learns about is probably , and t … more »
Murphy's Law for Moduli Spaces
— 5 comments
Greg Muller wrote 10 months ago: I’m finally back in Ithaca after about a month of travelling about. Hopefully this wi … more »
Have your say. Start a blog.
See our free features »
Copyright 2008 Automattic, Inc.
An 
Invention
