This term I'm teaching Combinatorial Optimization 18.453. The course website is here.

Notes on sheaf cohomology

Notes on the sum product theorem

Reading recommendations

Class field theory examples

Some multigrades

Tricky misere games

Tricky puzzles

Some programs

Some cross ratios (written for high school students)

Royal road to the CSP

Current draft of notes about Weil conjectures

Inequality handout from a Stanford Math Circle talk

Keep completing the square!

Aronhold's invariants

How to include source code with an arxiv submission

A few useful links

Things I have written which are on the arxiv:

Sums of seven octahedral numbers (published in Journal of the London Math Society, Volume 93, Issue 1)

General divisor function inequalities and the third cumulant

Note on chromatic numbers of directed hypergraphs with no bad cycles

Inequalities and higher order convexity (old, never published)

Things I've written which are not yet on the arxiv:

Sifting iterations

Mostly finished article on a model sifting problem of Selberg

Very very rough draft of a paper on bounded width algebras (introduction needs work)

Very very rough draft of a paper on optimal iteration rules

An inequality


A talk about sifting iterations from the 2017 JMM

A talk about spirals from the AAA94/NSAC 2017 conference

A talk about minimal clones from AAA96 (remove "-slides" from the url for the secret draft of the paper, which is missing citations, bibliography, introduction...)

My thesis.