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Course Info

Instructor:
  • Prof. Lawrence D Guth
Course Number:
  • 18.S997
Departments:
  • Mathematics
As Taught In: Fall 2012
Level: Graduate

Topics

  • Mathematics
    Algebra and Number Theory
    Discrete Mathematics

Learning Resource Types

assignment Problem Sets
notes Lecture Notes
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Course Info
The Polynomial Method
  • Syllabus

  • Lecture Notes

  • Assignments

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Assignments

18.S997 Fall 2012 The Polynomial Method: Optional Final Project

18.S997 Fall 2012 The Polynomial Method: Problem Set 1

18.S997 Fall 2012 The Polynomial Method: Problem Set 2

18.S997 Fall 2012 The Polynomial Method: Problem Set 3

18.S997 Fall 2012 The Polynomial Method: Problem Set 4


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

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Course Info

Instructor:
  • Prof. Lawrence D Guth
Course Number:
  • 18.S997
Departments:
  • Mathematics
As Taught In: Fall 2012
Level: Graduate

Topics

  • Mathematics
    Algebra and Number Theory
    Discrete Mathematics

Learning Resource Types

assignment Problem Sets
notes Lecture Notes
MIT Open Learning
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