Subscribe to Blog via Email
AMS Blogs
Comics

Recent Posts
Recent Comments
 Bob on What is a Manifold? (5/6)
 Leigh on “A Game With Mirrors”
 James Sheldon on Using Groupworthy Tasks to Increase Student Engagement
 Behnam on Using Groupworthy Tasks to Increase Student Engagement
 Hiro on Odd Perfect Numbers: Do They Exist?
Archives
Categories
Please Note:
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
Category Archives: Math
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
See, Accept, Affirm
The mathematical community is one, which—while not as diverse as it could/should be—counts as members individuals from all backgrounds and of all identities. These individualities are something we as a community should cherish and support. One outlet for such support … Continue reading
Posted in Diversity, Grad School, Math, Social Justice, Teaching
Tagged Commitment, Inclusion, Inculisivity, Safe Space, Social Justice
Leave a comment
What is a Manifold? (4/6)
After our luxurious treatment of 1d manifolds, we turn to 2d manifolds. My story of surfaces starts in a beautifully weird morning when I got up to realize that life in the usual Euclidean plane had changed dramatically. Vectors had shortened, areas … Continue reading
Mathematical Democracy: Mission Impossible? Maybe not…
In 1950, a 29yearold PhD candidate at Columbia published a stunning theorem that later won him a Nobel Prize: “There is no such thing as a fair voting system.” Or so the legend goes. Let’s dive into this claim and … Continue reading
What is a Manifold? (3/6)
Intrinsic descriptions One immediate benefit of considering coordinatefree descriptions of geometric objects is that we may talk about “curves” that are not a priori embedded in . In other words, we don’t have to start with a subset of to … Continue reading