Whether we grow up to become category theorists or applied mathematicians, one thing that I suspect unites us all is that we were once enchanted by prime numbers. It comes as no surprise then that a ...

Hello [email protected]. So nice of you to stop by. I'm a member of the Theory Group here at UT. I've been at UT since September 1994. Before coming here, I was an Assistant Professor in the theory ...

You may recall Greg Egan’s plea to save the magazine New Scientist from a rising tide of crackpottery after it published a glowing article about a propulsion system called the EmDrive. According to ...

Nov 3, 2025 Exploiting the secret 4-dimensional symmetry of the Kepler problem to think about the periodic table of elements in a new way.

Faster-than-light neutrinos? Boring… let’s see something really revolutionary. Edward Nelson, a math professor at Princeton, is writing a book called Elements in which he claims to prove the ...

A light mill is also known as a Crookes radiometer: It seems like a simple thing: an evacuated glass bulb with some vanes that can spin around, black on one side and white on the other. When you shine ...

Back to modal HoTT. If what was considered last time were all, one would wonder what the fuss was about. Now, there’s much that needs to be said about type dependency, types as propositions, sets, ...

Freeman Dyson is a famous physicist who has also dabbled in number theory quite productively. If some random dude said the Riemann Hypothesis was connected to quasicrystals, I’d probably dismiss him ...

The homotopy coherent nerve By familiar abstract nonsense, the adjunction ℂ ⊣ ℕ is uniquely determined by a functor Δ → sSet-Cat, which sends each object [n] of Δ ⊂ Cat to a simplicial category ℂ Δ n.

Joseph Goguen, A categorical manifesto, Mathematical Structures in Computer Science 1 (1991), 49-67. Abstract: This paper tries to explain why and how category theory is useful in computing science, ...

Given a particle in Euclidean space, a central force is a force that points toward or away from the origin and depends only on the particle’s distance from the origin. If the particle’s position at ...

Ecologically, I explained some ways to measure the diversity of an ecosystem — but only taking into account abundance (how many of each species there are), not similarity (how much the various species ...