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Mike Shulman

Mike Shulman

Michael "Mike" Shulman is a professor of mathematics at the University of San Diego specializing in homotopy type theory, category theory, and proof assistants, and a principal author of the HoTT book and developer of the Narya proof assistant.

Aug 26, 2026

1:09
There's no such thing." How was your path to foundations at homotopy type theory if you-
1:15
Well, that's an interesting question.
1:17
I mean, uh, I've kind of always been interested in foundations a little bit.
1:21
I mean, when I, when I was an undergraduate, I, I took logic courses, and I, I did a summer project on, uh, on logic and, uh, sort of as a, a sideline for, for a little while, I was really interested in non-standard analysis, and I, I have a whole bunch of those books on my shelf.
1:36
And, um, and then, uh, and then I went to, to Cambridge for a year and took a category theory class from Eugenia Cheng, and I got sold on that.
1:43
And, uh, uh, and then, uh, uh, when I went to, uh, UChicago, uh, I wanted to do category theory, and, like, Peter May was the only person there who I could conceivably work with, so I ended up being a topologist.
1:56
Um, and I learned a lot of topology, but I was always sort of interested in this, um, foundational or, or logical direction also.

42 MINS LATER

43:44
Mm-hmm

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