Director of Research (if dissertation) or Advisor (if thesis)
Ford, Kevin
Doctoral Committee Chair(s)
Zaharascu, Alexandru
Committee Member(s)
Erdogan, Burak
Balog, Jozsef
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Additive Combinatorics, Sum-Product
Abstract
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many products or many sums. We explore quantitative aspects of the problem over both the real numbers and finite fields of prime order.
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