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18.S997 | Fall 2012 | Graduate
The Polynomial Method

Lecture Notes

18.S997 Fall 2012 The Polynomial Method: The Regulus Detection Lemma
18.S997 Fall 2012 The Polynomial Method: A Version of the Joints Theorem for Long Thin Tubes
18.S997 Fall 2012 The Polynomial Method: An Application to Incidence Geometry
18.S997 Fall 2012 The Polynomial Method: Background on Connections Between Analysis and Combinatorics (Loomis-Whitney)
18.S997 Fall 2012 The Polynomial Method: Besictovitch's Construction
18.S997 Fall 2012 The Polynomial Method: Bezout Theorem
18.S997 Fall 2012 The Polynomial Method: Crossing Numbers and Distance Problems
18.S997 Fall 2012 The Polynomial Method: Crossing Numbers and Distinct Distances
18.S997 Fall 2012 The Polynomial Method: Crossing Numbers and the Szemeredi-Trotter Theorem
18.S997 Fall 2012 The Polynomial Method: Degree Reduction
18.S997 Fall 2012 The Polynomial Method: Detection Lemmas and Projection Theory
18.S997 Fall 2012 The Polynomial Method: Hardy-Littlewood-Sobolev Inequality
18.S997 Fall 2012 The Polynomial Method: Incidence Bounds in Three Dimensions
18.S997 Fall 2012 The Polynomial Method: Integer Polynomials That Vanish at Rational Points
18.S997 Fall 2012 The Polynomial Method: Introduction
18.S997 Fall 2012 The Polynomial Method: Introduction to Incidence Geometry
18.S997 Fall 2012 The Polynomial Method: Introduction to the Cellular Method
18.S997 Fall 2012 The Polynomial Method: Introduction to Thue's Theorem on Diophantine Approximation
18.S997 Fall 2012 The Polynomial Method: Local to Global Arguments
18.S997 Fall 2012 The Polynomial Method: Oscillating Integrals and Besicovitch's Arrangement of Tubes
18.S997 Fall 2012 The Polynomial Method: Polynomial Cell Decompositions
18.S997 Fall 2012 The Polynomial Method: Reguli; The Zarankiewicz Problem
18.S997 Fall 2012 The Polynomial Method: Special Points and Lines of Algebraic Surfaces
18.S997 Fall 2012 The Polynomial Method: Taking Stock
18.S997 Fall 2012 The Polynomial Method: The Berlekamp-Welch Algorithm
18.S997 Fall 2012 The Polynomial Method: The Elekes-Sharir Approach to the Distinct Distance Problem
18.S997 Fall 2012 The Polynomial Method: The Finite Field Nikodym and Kakeya Theorems
18.S997 Fall 2012 The Polynomial Method: The Joints Problem
18.S997 Fall 2012 The Polynomial Method: The Kakeya Problem
18.S997 Fall 2012 The Polynomial Method: Thue's Proof (Part II): Polynomials of Two Variables
18.S997 Fall 2012 The Polynomial Method: Thue's Proof (Part III)
18.S997 Fall 2012 The Polynomial Method: Using Cell Decompositions
18.S997 Fall 2012 The Polynomial Method: What's Special About Polynomials? (A Geometric Perspective)
18.S997 Fall 2012 The Polynomial Method: Why Polynomials? (Part 1)
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Fall 2012
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Graduate
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