The 1992 arithmetic Riemann–Roch theorem stands as a significant contribution to mathematics, co-authored by Henri Gillet and Christophe Soulé. Born in Tangier in 1953, Gillet is a United States citizen who has built a career centered on arithmetic geometry, algebraic geometry, and the complex applications of algebraic K-theory to intersection theory.
Academic Foundation
Gillet began his formal mathematical training by earning a bachelor's degree from King's College London in 1974. He subsequently moved to the United States to pursue graduate studies at Harvard University. In 1978, he completed his Ph.D. under the supervision of David Mumford, with his dissertation focusing on the applications of algebraic K-theory to intersection theory.
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Following his doctoral work, Gillet spent time as a postdoctoral instructor at Princeton University, advancing to the position of assistant professor in 1981. In 1984, he joined the University of Illinois at Chicago as an assistant professor. He moved up the faculty ranks, becoming an associate professor in 1986 and a full professor in 1988. Between 1996 and 2001, he served as the head of the department of mathematics, statistics, and computer science at the same institution.
Research and Professional Service
Gillet's research explores differential geometry, Arakelov theory, and algebraic K-theory, often involving collaborations with Jean-Michel Bismut and Christophe Soulé. Beyond his publications, he has served as an editor for the American Journal of Mathematics, International Mathematics Research Notices, and the Illinois Journal of Mathematics. His international presence includes visiting appointments at the Institute for Advanced Study, the IHES, the Fields Institute, and the Isaac Newton Institute.
Fast facts
- Born: 8 July 1953, Tangier
- Citizenship: United States
- Doctoral Advisor: David Mumford
- Undergraduate Degree: King's College London, 1974
- Doctoral Degree: Harvard University, 1978
- Primary Affiliation: University of Illinois Chicago
- Professional Recognition: Sloan Fellow (1986–1989)
- Senior Fellow: Clay Mathematics Institute (2008)
Questions readers ask
What is Henri Gillet's primary mathematical focus?
He specializes in arithmetic geometry, algebraic geometry, differential geometry, and algebraic K-theory.
Where did Henri Gillet hold administrative responsibilities?
He served as the head of the department of mathematics, statistics, and computer science at the University of Illinois at Chicago from 1996 to 2001.
Achievements
- Held posts at University of Illinois Chicago
