Redoing the analysis for white/black vanes (in hard vacuum) seems simple: Both sides are perfect Lambertian reflectors, so they radiate equally in all directions. For each photon, energy is ...

The Riemann Hypothesis claims that all the zeros of the zeta function lie on this line, except for the so-called trivial zeros at 2, 4, 6, 8 and so on. Riemann only checked this for the first three ...

Part of what intrigues me about reading Terence Tao’s blog is that he displays there a different aesthetic to the one largely admired here. The best effort to capture this difference is, I believe, ...

Why Mathematics is Boring I don’t really think mathematics is boring. I hope you don’t either. But I can’t count the number of times I’ve launched into reading a math paper, dewy-eyed and eager to ...

These are some lecture notes for a 4 1 2 -hour minicourse I’m teaching at the Summer School on Algebra at the Zografou campus of the National Technical University of Athens. To save time, I am ...

With your help, I would like to start amassing a collection of wisdom on gnarly issues in physics. Let’s start with dimensional analysis. I thought I had this pretty much figured out, until Kehrli ...

The Mathematics Department of the University of Hamburg has a postdoctoral position available in the area of Algebra, Conformal Field Theory and String Theory which is part of the Collaborative ...

I want to explain a little of the background behind Tom Fiore’s musical post last year. In this post the aim is to explain to a numerate audience some of the origins of the Western seven note musical ...

for each object X, Y, Z in 𝒞. These are subject to the following conditions. The simplex category Δ and its subcategory Δ ⊥ A simple example of a skew monoidal category, that we will base the ...

In Haskell notation, the example reads as follows. matchAddress :: String -> Either Address Postal buildAddress :: Postal -> Address Traversals We can go further: optics do not necessarily need to ...

You might think this doesn’t say anything about the familiar concerns of linear algebra - but wait a moment. Fix an endomorphism T of V, a finite-dimensional complex vector space. For λ ∈ ℂ, write E λ ...

Following a suggestion by some publishing company, there is the idea of creating a book that collects contributions from various authors on the topic Mathematical Foundations of Quantum Field and ...