Author Archives: Brent

Blogging again, & some major life events

It’s been a long time since I’ve written anything here; the blog was on hold while I was finishing my PhD and on the academic job market. Now that things have settled down a bit I plan to get back … Continue reading

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Maniac week postmortem

My maniac week was a great success! First things first: here’s a time-lapse video1 (I recommend watching it at the full size, 1280×720). Some statistics2: Total hours of productive work: 55.5 (74 pings) Average hours of work per day3: 11 … Continue reading

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Readers wanted!

tl;dr: Read a draft of my thesis and send me your feedback by September 9! Over the past year I’ve had several people say things along the lines of, “let me know if you want me to read through your … Continue reading

Posted in category theory, combinatorics, diagrams, grad school, math, species, writing | Tagged , , , , | 15 Comments

Maniac week

Inspired by Bethany Soule (and indirectly by Nick Winter, and also by the fact that my dissertation defense and the start of the semester are looming), I am planning a “maniac week” while Joyia and Noah will be at the … Continue reading

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Anafunctors

This is part four in a series of posts on avoiding the axiom of choice (part one, part two, part three). In my previous post, we considered the “Axiom of Protoequivalence”—that is, the statement that every fully faithful, essentially surjective … Continue reading

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AC and equivalence of categories

This is part three in a series of posts on avoiding the axiom of choice (part one, part two). In my previous post, I explained one place where the axiom of choice often shows up in category theory, namely, when … Continue reading

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Unique isomorphism and generalized “the”

This is part two in a series of posts on avoiding the axiom of choice; you can read part one here. In category theory, one is typically interested in specifying objects only up to unique isomorphism. In fact, definitions which … Continue reading

Posted in category theory, math, species | Tagged , , , , , , , , | 8 Comments