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Ngô Bảo Châu (, born June 28, 1972) is a Vietnamese-French
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of Chic ...
, best known for proving the fundamental lemma for automorphic forms (proposed by
Robert Langlands Robert Phelan Langlands, (; born October 6, 1936) is a Canadian mathematician. He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study o ...
and Diana Shelstad). He is the first Vietnamese national to have received the Fields Medal.


Early life

Ngô Bảo Châu was born in 1972, the son of an intellectual family in
Hanoi Hanoi or Ha Noi ( or ; vi, Hà Nội ) is the capital and second-largest city of Vietnam. It covers an area of . It consists of 12 urban districts, one district-leveled town and 17 rural districts. Located within the Red River Delta, Hanoi is ...
,
North Vietnam North Vietnam, officially the Democratic Republic of Vietnam (DRV; vi, Việt Nam Dân chủ Cộng hòa), was a socialist state supported by the Soviet Union (USSR) and the People's Republic of China (PRC) in Southeast Asia that existed f ...
. His father, professor Ngô Huy Cẩn, is full professor of physics at the Vietnam National Institute of Mechanics. His mother, Trần Lưu Vân Hiền, is a physician and associate professor at an herbal medicine hospital in Hanoi. The beginning of Châu's schooling was at an experimental elementary school that had been founded by the revolutionary pedagogue Hồ Ngọc Đại, but when his father returned from the Soviet Union with his doctoral degree, he decided that Châu would learn more in traditional schools and enrolled him in the "chuyên toán" (special classes for gifted students in mathematics) at the Trưng Vương Middle School. At age 15, Châu entered the special mathematics class at the
High School for Gifted Students, Hanoi University of Science The High School for Gifted Students, Hanoi University of Science, Vietnam National University (abbrev. High School for Gifted Students of Science or HSGS, in Vietnamese: Trường THPT chuyên, Đại học Khoa học Tự nhiên, Đại học Q ...
(Khối chuyên Tổng Hợp – Đại học Khoa Học Tự Nhiên Hà Nội), formerly known as the A0-class. In grades 11 and 12, Châu participated in the 29th and 30th
International Mathematical Olympiad The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. The first IMO was held in Romania in 1959. It has since been held annually, except i ...
s (IMO) and became the first Vietnamese student to win two IMO gold medals, of which the first one was won with a perfect score (42/42). After high school, Châu expected to study in
Budapest Budapest (, ; ) is the capital and most populous city of Hungary. It is the ninth-largest city in the European Union by population within city limits and the second-largest city on the Danube river; the city has an estimated population ...
, but in the aftermath of the fall of
Communism Communism (from Latin la, communis, lit=common, universal, label=none) is a far-left sociopolitical, philosophical, and economic ideology and current within the socialist movement whose goal is the establishment of a communist society, a ...
in
Eastern Europe Eastern Europe is a subregion of the European continent. As a largely ambiguous term, it has a wide range of geopolitical, geographical, ethnic, cultural, and socio-economic connotations. The vast majority of the region is covered by Russia, whic ...
, the new Hungarian government halted scholarships to students from Vietnam. After visiting Châu's father, Paul Germain, secretary of the French Academy of Sciences, arranged for Châu to study in France. He was offered a scholarship by the French government for undergraduate study at the
Paris VI University Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public research university in Paris, France, from 1971 to 2017. The university was located on the Jussieu Campus in the La ...
, then in 1992, he entered the
École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, S ...
. He obtained a PhD in 1997 from the Universite Paris-Sud under the supervision of Gérard Laumon. He became a member of CNRS at
Paris 13 University Sorbonne Paris North University (french: Université Sorbonne Paris Nord) is a public university based in Paris, France. It is one of the thirteen universities that succeeded the University of Paris in 1968. It is a multidisciplinary university l ...
from 1998 to 2005, and defended his habilitation degree there in 2003. He holds both Vietnamese and French citizenship.


Career

Châu became a professor at
Paris-Sud 11 University Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...
in 2005. In 2005, at age 33, Chau received the title of professor in Vietnam, becoming the country's youngest-ever professor. Since 2007, Châu has worked at 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 ...
,
Princeton, New Jersey Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...
, as well as the Hanoi Institute of Mathematics. He joined the mathematics faculty at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of Chic ...
on September 1, 2010. In addition, since 2011 he has been Scientific Director of the newly founded Vietnam Institute for Advanced Study in Mathematics (VIASM). In 2016 Châu was Co-General Chair of Asiacrypt the first time that the Asian cryptography conference was held in Vietnam.


Work

Châu first came to prominence by proving, in joint work with Gérard Laumon, the fundamental lemma for
unitary group In mathematics, the unitary group of degree ''n'', denoted U(''n''), is the group of unitary matrices, with the group operation of matrix multiplication. The unitary group is a subgroup of the general linear group . Hyperorthogonal group is ...
s. Their general strategy was to understand the local orbital integrals appearing in the fundamental lemma in terms of affine Springer fibers arising in the
Hitchin fibration In mathematics, the Hitchin integrable system is an integrable system depending on the choice of a complex reductive group and a compact Riemann surface, introduced by Nigel Hitchin in 1987. It lies on the crossroads of algebraic geometry, the ...
. This allowed them to employ the tools of geometric
representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...
, namely the theory of perverse sheaves, to study what was initially a
combinatorial Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ap ...
problem of a number-theoretic nature. Chau eventually succeeded in formulating the proof for the fundamental lemma for Lie algebras in 2008. Together with results from
Jean-Loup Waldspurger Jean-Loup Waldspurger (born July 2, 1953) is a French mathematician working on the Langlands program and related areas. He proved Waldspurger's theorem, the Waldspurger formula, and the local Gan–Gross–Prasad conjecture for orthogonal group ...
, who had earlier deduced stronger forms of the fundamental lemma from this result, this completed the proof of the fundamental lemma in all cases. As a result, Châu was awarded a Fields Medal in 2010. Ngô Bảo Châu was the co-author of the Vietnamese children's book ''Ai and Ky in the land of the invisible numbers''.


Awards

In 2004, Châu and Laumon were awarded the
Clay Research Award __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class=" ...
for their achievement in solving the fundamental lemma for the case of
unitary group In mathematics, the unitary group of degree ''n'', denoted U(''n''), is the group of unitary matrices, with the group operation of matrix multiplication. The unitary group is a subgroup of the general linear group . Hyperorthogonal group is ...
s. Châu's proof of the general case was selected by ''Time'' as one of the Top Ten Scientific Discoveries of 2009. In 2010, he received the Fields Medal. By decree on 22 April 2011, he was awarded a
Knight A knight is a person granted an honorary title of knighthood by a head of state (including the Pope) or representative for service to the monarch, the church or the country, especially in a military capacity. Knighthood finds origins in the Gr ...
of France's
Legion of Honour The National Order of the Legion of Honour (french: Ordre national de la Légion d'honneur), formerly the Royal Order of the Legion of Honour ('), is the highest French order of merit, both military and civil. Established in 1802 by Napoleon ...
. In 2012, he became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. In 2021, he became an honorary member of the London Mathematical Society.


Major publications

* Ngô, Bao Châu. ''Le lemme fondamental pour les algèbres de Lie. he fundamental lemma for Lie algebras' Publ. Math. Inst. Hautes Études Sci. 111 (2010), 1–169. doi:10.1007/s10240-010-0026-7


References


External links


Ngô Bảo Châu's homepage at the University of Chicago

Personal blog
* *
Ngo Bao Chau and Gérard Laumon's proof of the Fundamental Lemma for unitary groups

The Oberwolfach Prize 2007 is awarded to Ngo Bao Chau (Laudatio by Prof. Rapoport)
{{DEFAULTSORT:Ngo, Bao Chau 1972 births Living people People from Hanoi Paris-Sud 11 University alumni École Normale Supérieure alumni 21st-century Vietnamese mathematicians 21st-century French mathematicians University of Chicago faculty Fields Medalists Members of the French Academy of Sciences Institute for Advanced Study visiting scholars Clay Research Award recipients Fellows of the American Academy of Arts and Sciences Fellows of the American Mathematical Society International Mathematical Olympiad participants Simons Investigator People educated at High School for Gifted Students, Hanoi University of Science Paris-Saclay University people Paris-Saclay University alumni Sorbonne Paris North University faculty Naturalized citizens of France Vietnamese emigrants to France