The FACTS list does not name a single most-cited work for Joel Spencer, which means the structural recipe's opening requirement — to name and describe one specific work — cannot be met without inventing a title. Since the Evidence Lock rule forbids that, this biography opens instead with the most concrete professional fact available and proceeds from there.

Spencer was born on April 20, 1946, in Brooklyn, and received his education at Harvard University. He has worked as a mathematician, computer scientist, and university teacher, and is a citizen of the United States.

His career has brought recognition in the form of two notable distinctions: the Steele Prize for Mathematical Exposition and the title of Fellow of the American Mathematical Society. Both reflect sustained engagement with mathematical research and writing.

Spencer is also a Fellow of the Society for Industrial and Applied Mathematics. His full name, as it appears in authorized bibliographic form, is Joel H. Spencer — or more fully, Joel Harold Spencer.