### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

### Categories

- Abelian Varieties AG From the Beginning Algebraic Geometry Algebraic Topology Big Theorems Cohomology Combinatorics Complex Analysis Computational Methods Conferences Cranks Curves Deformation Theory Differential Geometry Enumerative Geometry Examples Group Theory Hilbert Scheme Hodge Theory ICTP Summer School Intersection Theory Knot Theory MaBloWriMo Math Culture Mathematical Physics Moduli of Curves Talks Toric Geometry Uncategorized Vector Bundles
### Recent Comments

Juan on The hyperbolic plane Algernon on So…umm…I’m a… beck (@toorandom) on Understanding Integration III:… David Speyer on The sound you hear is another… Anonymous on The Twenty-Seven Lines on the… ### Links

### Math Blogs

- 0xDE
- 360
- A Mind for Madness
- A Neighborhood of Infinity
- A Singular Contiguity
- Aline’s Weblog
- Arcadian Functor
- Ars Mathematica
- Blog of a Math Teacher
- Casting out Nines
- Combinatorics and More
- Concrete Nonsense
- Disquisitiones Mathematicae
- Dung Hoang Nguyen’s Weblog
- E. Kowalski’s Blog
- eon
- EvolutionBlog
- Geometric Algebra
- God Plays Dice
- Good Math, Bad Math
- gyre & gimble
- Halfway There
- Hydrobates
- in Theory
- Intrinsically Knotted
- Let’s Play Math
- Low Dimensional Topology
- Mathematics and Physics
- Mathematics Prelims
- Mathematics under the Microscope
- Mathematics Weblog
- Mathemusicality
- Michi’s Blog
- neverending books
- Noncommutative Geometry
- Polymathematics
- Portrait of the Mathematician
- Quomodocumque
- Reasonable Deviations
- Secret Blogging Seminar
- Sketches of Topology
- Tangled Web
- tcs math
- The Accidental Mathematician
- The Everything Seminar
- The n-Category Cafe
- The Narrow Road
- The Real Sqrt
- The Rising Sea
- The Unapologetic Mathematician
- Theoretical Atlas
- Tim Gowers’s Weblog
- Topological Musings
- What’s New

### Archives

- February 2015
- January 2015
- December 2014
- November 2014
- September 2014
- December 2013
- February 2013
- December 2012
- November 2012
- October 2012
- April 2012
- April 2011
- November 2010
- October 2010
- August 2010
- July 2010
- June 2010
- April 2010
- March 2010
- February 2010
- December 2009
- November 2009
- October 2009
- September 2009
- August 2009
- July 2009
- June 2009
- May 2009
- April 2009
- March 2009
- February 2009
- January 2009
- December 2008
- November 2008
- October 2008
- September 2008
- August 2008
- July 2008
- June 2008
- May 2008
- April 2008
- March 2008
- February 2008
- January 2008
- December 2007
- November 2007
- October 2007
- September 2007
- August 2007

### Tags

### Top Posts & Pages

- Elimination and Extension Theorems
- AG from the Beginning
- Normalization and Normal Varieties
- The Hilbert Scheme
- The Chow Ring and Chern Classes
- The Grothendieck-Riemann-Roch Theorem, a proof-sketch
- Locally Free Sheaves and Vector Bundles
- Morphisms of Sheaves
- MaBloWriMo?
- The Grothendieck-Riemann-Roch Theorem, Stated

# Monthly Archives: September 2007

## deGroot’s Problem

Recently, a lot of blogs (incited by the Everything Seminar) have been talking about the Axiom of Choice and it’s more horrifying implications. Well, I’m going to jump in on the bandwagon and present deGroot’s problem. This is essentially a … Continue reading

Posted in Group Theory, Logic
3 Comments

## More Introductions

Hi, I’m Joe, and I’m a second-year graduate student at Stony Brook University. I’ve just passed the comprehesive exams (qualifying exams at most other schools) at the beginning of the semester and will soon start preparing for orals. I’ve known … Continue reading

Posted in Uncategorized
Leave a comment

## Sheaves on Sites

In this post, I defined Grothendieck Topologies and gave some examples. Look there and in related links for more on Grothendieck topologies. We’re going to move on to Sheaves today. This is going to be a minipost, because this does … Continue reading

Posted in Algebraic Geometry
2 Comments

## Introducing myself

I should probably introduce myself (and start writing as well!). I’m Matt, a first-year grad student at the University of Chicago. I’m interested in algebra, geometry, and topology, but I also find various topics in theoretical CS and in logic … Continue reading

Posted in Uncategorized
1 Comment

## Grothendieck Topologies

Topology. It’s something that every math student has to become comfortable with. First you get to learn metric topology (usually on ), followed by point set topology. Then in graduate school, pretty much everyone gets an introduction to algebraic topology. … Continue reading

Posted in Algebraic Geometry
12 Comments

## Algebraic Geometry – A Historical Sketch I

So, I WAS going to give a classical proof of a classical algebraic geometry theorem: that there are exactly twenty-seven lines on any smooth cubic surface. I wanted to avoid using the machinery of divisors and all the attached technicality, … Continue reading

Posted in Algebraic Geometry
Leave a comment

## Group Theory and Physics

I’m posting late yet again. I seem to be making a habit of it, hopefully I’ll pull myself together eventually, but I’m going to back off on my goal of a weekly post for a bit. For now, I’m going … Continue reading

Posted in Group Theory, Mathematical Physics
4 Comments