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Course Descriptions

16:642:588 - Arithmetic Combinatorics

Swastik Kopparty

Text: Tao & Vu, online references

Prerequisites: Graduate combinatorics, probability, algebra

Description: Arithmetic Combinatorics is the study of combinatorial questions involving arithmetic operations. This course will cover some classical and modern aspects of the subject.

Possible topics include:

  • sumsets
  • the sum-product phenomenon
  • Ramsey questions
  • Szemeredi's theorem
  • probabilistic methods
  • geometric methods
  • graph theoretic methods
  • algebraic methods
  • Fourier and group-representation methods
  • analytic methods

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530