Category Archives: undergrad maths
The end of the summer.
It’s the end of the summer now, so it must finally be time to talk about the summer projects, and the things which happened since then. Continue reading
Thoughts on the Pythagorean theorem
Pythagoras’ theorem says that a square is equal to two squares. What does equality mean here? Continue reading
Division by zero in type theory: a FAQ
How can a theorem prover use the convention that 1/0=0 and still be consistent? Continue reading
Mathematics in type theory.
An explanation of how to set up mathematics using universes, types, and terms Continue reading
The complex number game
The complex number game, and the Xena Project’s first steps into Twitch and Discord. Continue reading
Xena Project Thursday meetings start with talk tomorrow 21st May
The Complex Number Game — proving basic stuff about the complexes in Lean Continue reading
Summer projects 2020
Undergraduate mathematician? Not much to do in July and August? Come and work with me! Continue reading
The invisible map
Is a subgroup of a group a group? Is 3 a topology on 2? Is a natural number a real number? Decisions like this have consequences. Continue reading
Where is the fashionable mathematics?
A challenge to the users of all the computer proof systems to do some modern mathematics. Continue reading
My algebraic geometry course
The union of two affine algebraic sets is an affine algebraic set. Continue reading
