Born in Los Alamos, New Mexico, Foreman earned his Ph.D. from the University of California, Berkeley in 1980 under Robert M. Solovay. His dissertation title was Large Cardinals and Strong Model Theoretic Transfer Properties. In addition to his mathematical work, Foreman is an avid sailor. He and his family sailed their sailboat Veritas (a C&C 44 C&C Yachts) from North America to Europe in 2000. From 2000–2008 they sailed Veritas to the Arctic, the Shetland Islands, Scotland, Ireland, England, France, Spain, North Africa and Italy. Notable high points were Fastnet Rock, Irish and Celtic seas and many passages including the Maelstrom, Stad, Pentland Firth, Loch Ness, the Corryveckan and the Irish Sea. Further south they sailed through the Chenal du Four and Raz de Sein, across the Bay of Biscay and around Cape Finisterre. After entering Gibraltar, Foreman and his family circumnavigated the Western Mediterranean with notable stops in Barcelona, Morocco, Tunisia, Sicily, Naples, Sardinia and Corsica. In 2009, Foreman and his son and guest crew circumnavigated Newfoundland. Foreman has been recognized for his sailing by twice winning the Ullman Trophy.

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