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Projection Theory

18.156 · Mathematics · Graduate · Spring 2025

Prof. Lawrence D Guth

MIT · Tier 1

<p>The class studies projection theory, starting from the first questions and building up to recent developments. Projection theory studies how a set <em>X</em> behaves under different orthogonal projections. Questions of this type aren’t usually emphasized in the graduate analysis curriculum, but they come up in many areas of math, including harmonic analysis, analytic number theory, additive combinatorics, and homogeneous dynamics.</p> <p>We will survey several applications of projection theo…

Science & MathMathematics

The syllabus, on MIT OpenCourseWare

The full course — syllabus, assigned readings, problem sets, exams, and lecture notes — lives on OCW. These open the real thing:

Attribution

Prof. Lawrence D Guth. 18.156 Projection Theory. Spring 2025. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: CC BY-NC-SA 4.0.

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