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Lean 2022 round-up

A brief survey post containing some of the things which happened in the Lean community in 2022. The Liquid Tensor Experiment In December 2020, Fields Medallist Peter Scholze challenged the formal computer proof community to verify one of his theorems … Continue reading

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Teaching formalisation to mathematics undergraduates

It’s been a hectic 2022 so far, but August is looking a lot calmer; this is the first of hopefully a few blog posts this month catching up on various things. In this post I want to talk about the … Continue reading

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2022 Xena Project undergraduate workshop

I have funding to run an undergraduate workshop! When? 26th to 30th September 2022 (the week before term starts for many people in the UK). What? A week-long in person workshop including a bunch of working on group projects in … Continue reading

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New year, new teaching material

Imperial College has gone back to in-person teaching so I have 250 new subjects to experiment on, namely the new 1st year maths undergraduates. I’ve spent a few years now trying to figure out how best to teach maths undergraduates … Continue reading

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2021 Xena Summer Projects

So I spent July and August supervising mathematics undergraduates who were doing Lean projects in various areas of mathematics. Conformal maps, Euclid’s SAS theorem, nilpotent groups and the Radon-Nikodym theorem are just some of the topics I’ve been engaging with … Continue reading

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Half a year of the Liquid Tensor Experiment: Amazing developments

[This is a guest post by Peter Scholze.] Exactly half a year ago I wrote the Liquid Tensor Experiment blog post, challenging the formalization of a difficult foundational theorem from my Analytic Geometry lecture notes on joint work with Dustin … Continue reading

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Formalising Mathematics : workshop 8 — group cohomology

A brief description of group cohomology H^0 and H^1, plus links to how to formalise this stuff in Lean. Continue reading

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Formalising Mathematics : workshop 6 — limits

I talked about limits of sequences of real numbers in workshop 3, but this week I come back to them, because this week we’ll see that the usual ten-line proof that if and then can be replaced by a two-line … Continue reading

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Formalising mathematics: an introduction.

An introduction to the TCC course “Formalising Mathematics” Continue reading

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Lean Together 2021

A discussion of some of the talks from the Lean Together conference. Continue reading

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