It came to my attention that Leo Goldmakher had written up notes for a lecture I gave in August 2011 on the proof of Hindman’s Theorem via ultrafilters. The notes are quite nice so I thought I would share them.

Here is a link to the notes (pdf) and here is Leo’s website.

The lecture I gave follows the papers:

- “An Algebraic Proof of van der Waerden’s Theorem” by Vitaly Bergelson, Hillel Furstenburg, Neil Hindman and Yitzhak Katznelson. (
*L’enseignement Mathematique, t. 35, 1989, p. 209-215*) - “Ultrafilters: Some Old and some New Results” (pdf) by W.W. Comfort. (
*Bulletin of the AMS, Volume 83, Number 4, July 1977*)