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18.156 | Spring 2025 | Graduate

# Projection Theory

video
168 MB
Lecture 01: Introduction to Projection Theory
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168 MB
Lecture 02: Fundamental Methods of Projection Theory
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160 MB
Lecture 03: Projection Theory in Euclidean Space
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165 MB
Lecture 04: The Fourier Method in Euclidean Space
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156 MB
Lecture 05: The Large Sieve
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160 MB
Lecture 06: Projections and Smoothing
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157 MB
Lecture 07: Applications of the Large Sieve to Number Theory
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164 MB
Lecture 08: The Szemeredi-Trotter Theorem
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146 MB
Lecture 09: Reflections on the Szemeredi-Trotter Theorem
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157 MB
Lecture 10: Sum-Product Theory
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157 MB
Lecture 11: Contagious Structure in Projection Theory
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159 MB
Lecture 12: The Bourgain-Katz-Tao Projection Theorem
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153 MB
Lecture 13: The Balog-Szemeredi-Gowers Theorem
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213 MB
Lecture 14: The Bourgain Projection Theorem Part 1 (over the Real Numbers)
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189 MB
Lecture 15: The Bourgain Projection Theorem, Part 2
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176 MB
Lecture 16: The Bourgain Projection Theorem, Part 3
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163 MB
Lecture 17: Random Walks on Finite Groups, Part 1
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158 MB
Lecture 18: Random Walks on Finite Groups, Part 2
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169 MB
Lecture 19: Random Walks on Finite Groups, Part 3
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184 MB
Lecture 20: Homogeneous Dynamics, Part 1
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164 MB
Lecture 21: Homogeneous Dynamics, Part 2
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166 MB
Lecture 22: Sharp Projection Theorems, Part 1: Introduction and Beck's Theorem.
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175 MB
Lecture 23: Sharp Projection Theorems, Part 2: AD Regular Case
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151 MB
Lecture 24: Sharp Projection Theorems, Part 3: Combining Different Scales

## Course Info

##### Instructor

- Prof. Lawrence D Guth

##### Departments

- Mathematics

##### As Taught In

Spring 2025

##### Level

Graduate

##### Topics

- Mathematics
  - Differential Equations
  - Mathematical Analysis

##### Learning Resource Types

theaters Lecture Videos
notes Lecture Notes
assignment Problem Sets
group_work Projects
Editable Files

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