Serge Lang

Verified Timeline

Lore & Background

Serge Lang was born in Saint-Germain-en-Laye, close to Paris, in 1927. He had a twin brother who became a basketball coach and a sister who became an actress. Lang moved with his family to California as a teenager, graduating in 1943 from Beverly Hills High School. After completing his undergraduate education at the California Institute of Technology in 1946, he received a PhD in mathematics from Princeton University in 1951. He held faculty positions at the University of Chicago, Columbia University (from 1955, leaving in 1971 in a dispute), and Yale University. Lang studied at Princeton University, writing his thesis titled 'On quasi algebraic closure' under the supervision of Emil Artin. He proved the Schneider–Lang theorem and made a number of conjectures in diophantine geometry: Mordell–Lang conjecture, Bombieri–Lang conjecture, Lang–Trotter conjecture, and the Lang conjecture on analytically hyperbolic varieties. He introduced the Lang map, the Katz–Lang finiteness theorem, and the Lang–Steinberg theorem in algebraic groups. Lang was a prolific writer of mathematical texts, often completing one on his summer vacation. His *Algebra* was a highly influential text that ran through numerous updated editions. His Steele prize citation stated, 'Lang's *Algebra* changed the way graduate algebra is taught...It has affected all subsequent graduate-level algebra books.' He won a Leroy P. Steele Prize for Mathematical Exposition (1999) and the Frank Nelson Cole Prize in Algebra in 1960. As an activist, Lang campaigned against the Vietnam War, volunteering for the 1966 anti-war campaign of Robert Scheer. He quit his position at Columbia in 1971 in protest over the university's treatment of anti-war protesters. In 1986, Lang mounted what the *New York Times* described as a 'one-man challenge' against the nomination of political scientist Samuel P. Huntington to the National Academy of Sciences, calling Huntington's research 'pseudoscience'. Lang's challenge was successful, and Huntington was twice rejected for Academy membership. In the last twelve years of his life, Lang challenged the scientific consensus on the connection between HIV and AIDS, arguing that existing data did not support the conclusion that HIV causes AIDS. A portion of his book *Challenges* is devoted to this issue.

Reader's Guide

Serge Lang's significance lies in his dual impact on mathematics and public discourse. As a mathematician, his textbook *Algebra* reshaped graduate education, and his research in number theory—including the Schneider–Lang theorem and several conjectures—advanced the field. His activism, however, was controversial: while his challenges to the Vietnam War and to Samuel Huntington's nomination reflected a commitment to scientific rigor, his later HIV/AIDS denialism placed him outside the scientific consensus. Lang's career illustrates the tension between rigorous scholarship and political engagement, and his legacy remains divided between his mathematical contributions and his rejection of established science on HIV/AIDS.

Did You Know?

• Lang had a twin brother who became a basketball coach and a sister who became an actress.
• He graduated from Beverly Hills High School in 1943.
• Lang would throw chalk at students he believed were not paying attention, saying 'Our two aims are truth and clarity, and to achieve these I will shout in class.'
• He successfully blocked Samuel P. Huntington's nomination to the National Academy of Sciences twice.
• Lang kept extensive 'files' of his political correspondence and published some in books like *Challenges* and *The File: Case Study in Correction (1977-1979)*.