Author Archives: Behnam Esmayli

About Behnam Esmayli

I started PhD in Mathematics at Pitt in Fall 2015. I have come to grow a passion for metric spaces -- a set and a distance function that satisfies the triangle inequality -- simple and beautiful! These spaces when equipped with other structures, such as a measure, becomes extremely fun to play with!

What is a Manifold? (2/6)

Posted on October 17, 2016 by Behnam Esmayli

We continue from Part One of this journey our attempt to illustrate how one can start with calculus and arrive at the definition of a 1-dimensional manifold. In the previous segment, we concluded with the fact that a curve in  may … Continue reading →

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What is a manifold? Yet another article! (1/6)

Posted on October 7, 2016 by Behnam Esmayli

Why (yet) another article? There are competing theories online about possible interpretations of John von Neumann’s quote, but manifolds are definitely some mathematics that “you don’t understand … you just get used to them,” — at least for a while. In a series of … Continue reading →

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