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Harold Seymour Shapiro (born 1928 in Brooklyn, New York) is a professor emeritus of mathematics at the Royal Institute of Technology in Stockholm, Sweden, best known for inventing the so-called Shapiro polynomials (also known as Golay–Shapiro polynomials or Rudin–Shapiro polynomials) and for pioneering work on quadrature domains. His main research areas have been approximation theory, complex analysis, functional analysis, and partial differential equations. He is also interested in the pedagogy of problem-solving.
Shapiro received his Ph.D. in 1952 from the Massachusetts Institute of Technology. He is the father of cosmologist Max Tegmark, a graduate of the Royal Institute of Technology and now a professor at MIT.
He earned a B.Sc. from the City College of New York in 1949 and earned his M.S. degree from MIT in 1951.