Henri Antoine Gillet (born 8 July 1953,

Tangier Tangier ( ; ; ar, طنجة, Ṭanja) is a city in northwestern Morocco. It is on the Moroccan coast at the western entrance to the Strait of Gibraltar, where the Mediterranean Sea meets the Atlantic Ocean off Cape Spartel. The town is the capi ...

) is a European-American mathematician, specializing in arithmetic geometry and algebraic geometry.

Education and career

Gillet received in 1974 his bachelor's degree from

King’s College London King's College London (informally King's or KCL) is a public research university located in London, England. King's was established by royal charter in 1829 under the patronage of King George IV and the Duke of Wellington. In 1836, King's ...

and in 1978 his Ph.D. from

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...

under

David Mumford David Bryant Mumford (born 11 June 1937) is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded t ...

with thesis ''Applications of Algebraic K-Theory to Intersection Theory''. As a postdoc he was an instructor and from 1981 an assistant professor at

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...

. He became in 1984 an assistant professor, in 1986 an associate professor, and in 1988 a full professor at the

University of Illinois at Chicago The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois ...

, where he was from 1996 to 2001 the head of the department of mathematics, statistics, and computer science. He was a visiting scholar at the

Tata Institute of Fundamental Research Tata Institute of Fundamental Research (TIFR) is a public deemed research university located in Mumbai, India that is dedicated to basic research in mathematics and the sciences. It is a Deemed University and works under the umbrella of the ...

(2006), the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...

(1987), the IHES (1985, 1986, 1988), in Barcelona, at the Fields Institute in

Toronto Toronto ( ; or ) is the capital city of the Canadian province of Ontario. With a recorded population of 2,794,356 in 2021, it is the most populous city in Canada and the fourth most populous city in North America. The city is the anch ...

and at the

Isaac Newton Institute The Isaac Newton Institute for Mathematical Sciences is an international research institute for mathematics and its many applications at the University of Cambridge. It is named after one of the university's most illustrious figures, the mathema ...

(1998). Gillet's research deals with differential geometry, algebraic und arithmetic geometry, in particular

Arakelov theory In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. Background The main motivation behind Arakelov geometry is t ...

and algebraic

K-theory In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometr ...

. He collaborated with

Christophe Soulé Christophe Soulé (born 1951) is a French mathematician working in arithmetic geometry. Education Soulé started his studies in 1970 at École Normale Supérieure in Paris. He completed his Ph.D. at the University of Paris in 1979 under the sup ...

and

Jean-Michel Bismut Jean-Michel Bismut (born 26 February 1948) is a French mathematician who has been a professor at the Université Paris-Sud since 1981. His mathematical career covers two apparently different branches of mathematics: probability theory and diff ...

. Gillet and Soulé proved in 1992 an arithmetic

Riemann–Roch theorem The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed poles. It rel ...

. Gillet was in 2008 a Senior Fellow at the Clay Mathematics Institute and from 1986 to 1989 a

Sloan Fellow The Sloan Fellows program is the world's first mid-career and senior career master's degree in general management and leadership. It was initially supported by a grant from Alfred P. Sloan, the late CEO of General Motors, to his alma mater, MI ...

. He was an Invited Speaker with talk ''A Riemann-Roch theorem in arithmetic geometry'' at the International Congress of Mathematicians in

Kyōto Kyoto (; Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in Japan. Located in the Kansai region on the island of Honshu, Kyoto forms a part of the Keihanshin metropolitan area along with Osaka and Kobe. , the c ...

in 1990. He was from 1994 to 1999 an editor for the

American Journal of Mathematics The ''American Journal of Mathematics'' is a bimonthly mathematics journal published by the Johns Hopkins University Press. History The ''American Journal of Mathematics'' is the oldest continuously published mathematical journal in the United S ...

, from 1995 to 1998 for the

International Mathematics Research Notices The ''International Mathematics Research Notices'' is a peer-reviewed mathematics journal. Originally published by Duke University Press and Hindawi Publishing Corporation, it is now published by Oxford University Press.Jean-Michel Bismut Jean-Michel Bismut (born 26 February 1948) is a French mathematician who has been a professor at the Université Paris-Sud since 1981. His mathematical career covers two apparently different branches of mathematics: probability theory and diff ...

and Christophe Soulé: ''Analytic torsion and holomorphic determinant bundles'' 1-3, Comm. Math. Phys., vol. 115, 1988, pp. 49–78 , 79–126 , 301–351 * with Soulé: ''Arithmetic intersection theory'', Pub. Math. IHES, vol. 72, 1990, p. 94–174 * with Bismut and Soulé: ''Complex immersions and Arakelov Geometry'', in Pierre Cartier et al. (eds.): Grothendieck Festschrift, vol. 1, 1990, Birkhäuser, pp. 249–331 * with Soulé: ''An arithmetic Riemann-Roch Theorem'', Inventiones Mathematicae, vol. 110, 1992, pp. 473–543 * ''K-theory and intersection theory'' in Eric Friedlander, Daniel Grayson (eds.): ''Handbook of K-theory'', Springer 2005, pp. 235–293

References

{{DEFAULTSORT:Gillet, Henri 20th-century French mathematicians 21st-century French mathematicians 20th-century American mathematicians 21st-century American mathematicians Alumni of King's College London Harvard University alumni University of Illinois Chicago faculty 1953 births Living people