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# Tag Archives: linear algebra

## Caps in AG(n,3)

For the past week and a half I have done little but mark exam papers. At some point during this, I looked at Tim Gowers’ blog, and read that a very significant improvement had very recently been made on the … Continue reading

Posted in Uncategorized
Tagged additive combinatorics, Ben Green, cap, capset, finite geometry, IMS, linear algebra, NUS, Singapore
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## Lecture notes

I have decided to follow Dima’s suggestion and post my collection of lecture notes here. You will find them from the page “Lecture notes” on the menu bar at the bottom of the picture at the top of the blog. … Continue reading

Posted in Lecture notes
Tagged abstract algebra, combinatorics, enumerative combinatorics, groups, linear algebra, number theory, probability, rings
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## Ticking boxes

A cliché of modern life — but yesterday I managed to find a use for it. One of the questions the linear algebra students had to solve was to prove (from the axioms) that, if cv = 0, where c is a … Continue reading