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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

Sections Taught This Semester:

For more information on instructors and sections for Fall 2017, please see our Fall 2017 Teaching Schedule Page

For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page

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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