Category Archives: undergrad maths

What is homotopy type theory? An amateur speaks.

Learning some Euclidean geometry helped me to understand the basics of what homotopy type theory is. Continue reading

Posted in undergrad maths | Tagged , , , , , , | 10 Comments

M1F, Imperial undergraduates, and Lean

Abhimanyu Pallavi Sudhir, a current first year, has formalised the solutions to last year’s M1F final exam! Continue reading

Posted in M1F, undergrad maths | Tagged , , , | 1 Comment

Lean in LaTeX

Patrick Massot wrote a formatter, which can turn Lean code into beautiful LaTeXxy html. The undergraduates and I have been formalising Imperial’s first real analysis course M1P1 in Lean. Put them together and you get a 21st century proof of … Continue reading

Posted in Imperial, undergrad maths | Tagged , | 2 Comments

Blue-eyed islanders (guest post)

Thanks very much indeed to Chris Hughes, who has written up some thoughts on the blue-eyed islanders problem. Before we start, here’s the history. I (KMB) heard about this problem a few years ago, and thought it was cute, but … Continue reading

Posted in Learning Lean, M1F, undergrad maths | Leave a comment

Maths undergraduate example sheets

I’m teaching a course called M1F this term — the basic “introduction to proof” course which all first year maths (and joint maths/computing) students have to take at Imperial College London. The course is supposed to be managed via our … Continue reading

Posted in Imperial, Learning Lean, M1F, tactics, undergrad maths | Leave a comment

What is the Xena Project?

Note (added June 2019); this (below) is an old blog post from 2018. You should really read the updated one here but I’ve left this original one just to preserve history. The current aims and ambitions of the Xena Project … Continue reading

Posted in General, Imperial, undergrad maths | 8 Comments

Happy birthday Xena!

It was a year ago today that I emailed Inkeri Hibbins, a wonderful administrator at Imperial College London, and asked her if she could email all the Imperial maths and joint maths/computing undergraduates and tell them about my new Thursday … Continue reading

Posted in Imperial, M1F, undergrad maths | 3 Comments