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Lecture 01: Introduction to Projection Theory
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Projection Theory - Spring 2025
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- 1 Lecture 01: Introduction to Projection Theory
- 2 Lecture 02: Fundamental Methods of Projection Theory
- 3 Lecture 03: Projection Theory in Euclidean Space
- 4 Lecture 04: The Fourier Method in Euclidean Space
- 5 Lecture 05: The Large Sieve
- 6 Lecture 06: Projections and Smoothing
- 7 Lecture 07: Applications of the Large Sieve to Number Theory
- 8 Lecture 08: The Szemeredi-Trotter Theorem
- 9 Lecture 09: Reflections on the Szemeredi-Trotter Theorem
- 10 Lecture 10: Sum-Product Theory
- 11 Lecture 11: Contagious Structure in Projection Theory
- 12 Lecture 12: The Bourgain-Katz-Tao Projection Theorem
- 13 Lecture 13: The Balog-Szemeredi-Gowers Theorem
- 14 Lecture 14: The Bourgain Projection Theorem Part 1 (over the Real Numbers)
- 15 Lecture 15: The Bourgain Projection Theorem, Part 2
- 16 Lecture 16: The Bourgain Projection Theorem, Part 3
- 17 Lecture 17: Random Walks on Finite Groups, Part 1
- 18 Lecture 18: Random Walks on Finite Groups, Part 2
- 19 Lecture 19: Random Walks on Finite Groups, Part 3
- 20 Lecture 20: Homogeneous Dynamics, Part 1
- 21 Lecture 21: Homogeneous Dynamics, Part 2
- 22 Lecture 22: Sharp Projection Theorems, Part 1: Introduction and Beck's Theorem.
- 23 Lecture 23: Sharp Projection Theorems, Part 2: AD Regular Case
- 24 Lecture 24: Sharp Projection Theorems, Part 3: Combining Different Scales
