
The opinions expressed on this blog are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society
Subscribe to Blog via Email
Comics

Recent Posts
Recent Comments
 Alice Wyan on Gauge Theory and LowDimensional Topology (Part I: Historical Context)
 Sergio Garcia on An Infinite Understanding
 Behnam Esmayli on An Infinite Understanding
 Lil' Adawg on How to Survive Grad School as a Woman in STEM
 T Christine Stevens on Some Funding Opportunities for Graduate Students in Mathematics
Archives
Categories

Comments Guidelines
The AMS encourages your comments, and hopes you will join the discussions. We review comments before they're posted, and those that are offensive, abusive, offtopic or promoting a commercial product, person or website will not be posted. Expressing disagreement is fine, but mutual respect is required.
Meta
Tag Archives: Math
Gauge Theory and LowDimensional Topology (Part I: Historical Context)
Hi! This month, I thought I would start a brief series of articles describing the uses of gauge theory in mathematics. Rather than discuss current research directions in gauge theory (of which there are many), I hope to give an … Continue reading
The “Idea” of a Scheme
The mathematical concept of a “scheme” seems to pop up everywhere, but it’s hard to get a good grasp on what a scheme actually is. Any time you might ask someone what a scheme is in passing, there never seems … Continue reading
Optimal Control Theory to Settle Reinhardt’s Conjecture
The 2010’s are a Golden Age for packing problems. In 2014, Hales announced the longawaited completion of a highprofile machine proof project called FlySpeck, which verified his proof of Kepler’s conjecture. Johannes Kepler, in 1600, conjectured that the densest way to pack … Continue reading
Posted in General, Math
Tagged Control Theory, Math, Packing Problems, Reinhardt Conjecture, Sphere Packing
Leave a comment
What is a Manifold? (6/6)
In posts 13 we were able to reduce all of the geometry of a curve in 3space to an interval along with two or three realvalued functions. We also discussed when two sets of such data give equivalent (overlapping) curves. This … Continue reading
What is a Manifold? (5/6)
In our last post, we invented a new geometry by rescaling the inner product of the usual Euclidean plane. This modification did not change any of the angles in our geometry, in the sense that if two curves intersected in a particular Euclidean … Continue reading