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.
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Monthly Archives: October 2007
Ricci Flow on Surfaces of High Genus
I’ve been a bit busy lately, and so I missed last week posting. So what I’ve decided to do is to take the talks I’ve given in various graduate student seminars over the last year or so and convert them … Continue reading
Posted in Differential Geometry
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Hamiltonian Mechanics
Hi everybody, Well, I’m finally getting around to talking about the Hamiltonian formalism of classical mechanics. Of course, if you’ve been keeping up with The Everything Seminar, the good people over there have discussed this very topic recently (with some … Continue reading
Posted in Mathematical Physics
6 Comments
Introduction to Symplectic Topology
Hi everybody, In my last post, I promised that I would talk about the Hamiltonian and Lagrangian formalism of classical mechanics. In order to do that, we need to first develop some topological ideas, specifically in the area of symplectic … Continue reading
Posted in Mathematical Physics
5 Comments
Elliptic Curves
So, on Thursday, I posted some background stuff, which I think I might continue to do in the future. Just in general if I want to do a real post which there’s some basic technical stuff that needs to be … Continue reading
Posted in Algebraic Geometry
5 Comments
Locally Ringed Spaces and Varieties
Ok, I’m writing this now specifically so that I don’t have to do it in my Monday post, because I need it to even define what I’m talking about. Today’s topic of interest are locally ringed spaces, and they are … Continue reading
Posted in Algebraic Geometry
4 Comments
Geometry of a Polynomial
This week, we’re going to talk about some of the more important ideas in algebraic geometry, and in particular we will be picking a polynomial and describing its geometry in detail. This polynomial is not taken at random in any … Continue reading
Posted in Algebraic Geometry
1 Comment
Newtonian Mechanics
Hi everybody, I was thinking that I would do a series of posts about classical mechanics from a mathematician’s standpoint. This post will be an overview of the Newtonian formalism of the subject, with some important examples so the usual … Continue reading
Posted in Mathematical Physics
11 Comments
Parallel Parking
Today I’m going to talk about parallel parking. We’ve all had to do it at some point (at least, those who drive) and certainly we’ve all noticed how much of a pain it is to get into a small space. … Continue reading
Rigorous Trivialities 