Hello unknown@40.77.167.70.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 ...

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 ...

Here’s my second set of lecture notes for a 4 1 2 \frac{1}{2}-hour minicourse at the Summer School on Algebra at the Zografou campus of the National Technical University of Athens. Part 1 is here, and ...

These are some lecture notes for a 4 1 2 \frac{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 ...

Thanks! I’ve just come around back to it from thinking about the 10-fold way, which involves a “super” version of the Brauer 3-group.. I was hoping to find some more interesting structure in the ...

Current itex2MML Version: 1.6.1 (10/3/2021) Installation: Readme Source code: (download | browse repository) Here is a list of all the TeX commands currently implemented in itex2MML. Most should be ...

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, ...

For me, two of the most interesting aspects of category theory in computer science have been monads and generalised folds/unfolds. If M is a functor that happens to be monad, then given an arrow (ie.

The forefather of biological category theory is Robert Rosen.I haven’t had a chance to look at his work yet, but for an easy (for Café regulars) introduction to some of his ideas, try Juan-Carlos ...

Just to add to Todd’s beautiful comment about bar-construction. There is another interpretaton of bar-construction as a resolution. The following construction is in my paper “Categorical Strong Shape ...

The discussion on Tom’s recent post about ETCS, and the subsequent followup blog post of Francois, have convinced me that it’s time to write a new introductory blog post about type theory.So if you’ve ...

Probably part of the story is that having a high n eff n_{\mathrm{eff}} doesn’t really guarantee that your sample is “statistically powerful”.. For one thing, notice in the two examples that Tom gave ...