He was a professor of mathematics and in 1696 became a member of the French Academy of Sciences.

In 1873, he became a member of the United States National Academy of Sciences.

He is a member of the American Academy of Arts and Sciences since 2010.

He is a member of the United States National Academy of Sciences.

Michael is a voting member of the Recording Academy of Arts and Sciences.

Foreign member of the American Academy of Arts and Sciences, 1973.

Finland was a member of the National Academies of Sciences.

Since 1994, he has been a member of the United States National Academy of Sciences.

Foreign member of the Royal Swedish Academy of Sciences, 1851.

Foreign honorary member of the American Academy of Arts and Sciences, 2013.