---
title: 'lecture 12: proof of the bourgain katz tao projection theorem'
description: notes on lecture 12, drafted from 0 marks
date: '2026-10-13'
tags:
  - course
  - mit
created: '2026-10-13'
modified: '2026-10-13'
published: '2026-10-13'
pageLayout: default
slug: courses/18-156-projection-theory-spring-2025/lectures/12
permalink: https://aarnphm.xyz/courses/18-156-projection-theory-spring-2025/lectures/12.md
generator:
  quartz: v4.6.0
  hostedProvider: Cloudflare
  baseUrl: aarnphm.xyz
full: https://aarnphm.xyz/llms-full.txt
---
Source: [[courses/18-156-projection-theory-spring-2025/resources/mit18_156_s25_lec12_pdf|lecture 12]].

## notes