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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, mathematical structure, structure, space, Mathematica ...
at the
University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, 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 The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
.


Early life

Ngô Bảo Châu was born in 1972, the son of an intellectual family in
Hanoi Hanoi ( ; ; ) is the Capital city, capital and List of cities in Vietnam, second-most populous city of Vietnam. The name "Hanoi" translates to "inside the river" (Hanoi is bordered by the Red River (Asia), Red and Black River (Asia), Black Riv ...
,
North Vietnam North Vietnam, officially the Democratic Republic of Vietnam (DRV; ; VNDCCH), was a country in Southeast Asia from 1945 to 1976, with sovereignty fully recognized in 1954 Geneva Conference, 1954. A member of the communist Eastern Bloc, it o ...
. 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 (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. It is widely regarded as the most prestigious mathematical competition in the wor ...
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 city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by popul ...
, but in the aftermath of the fall of
Communism Communism () is a political sociology, sociopolitical, political philosophy, philosophical, and economic ideology, economic ideology within the history of socialism, socialist movement, whose goal is the creation of a communist society, a ...
in
Eastern Europe Eastern Europe is a subregion of the Europe, European continent. As a largely ambiguous term, it has a wide range of geopolitical, geographical, ethnic, cultural and socio-economic connotations. Its eastern boundary is marked by the Ural Mountain ...
, the new Hungarian government halted scholarships to students from Vietnam. After visiting Châu's father, Paul Germain, secretary of the
French Academy of Sciences The French Academy of Sciences (, ) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific method, scientific research. It was at the forefron ...
, arranged for Châu to study in France. He was offered a scholarship by the French government for undergraduate study at the Paris VI University, then in 1992, he entered the
École Normale Supérieure École or Ecole may refer to: * an elementary school in the French educational stages normally followed by Secondary education in France, secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing i ...
. He obtained a
PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
in 1997 from the Universite Paris-Sud under the supervision of Gérard Laumon. He became a member of
CNRS The French National Centre for Scientific Research (, , CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 eng ...
at
Paris 13 University Sorbonne Paris North University () 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 located in north of Paris, in the munici ...
from 1998 to 2005, and defended his
habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...
degree there in 2003. He holds both Vietnamese and French citizenship.


Career

Châu became a professor at Paris-Sud 11 University 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) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
,
Princeton, New Jersey The Municipality of Princeton is a Borough (New Jersey), borough in Mercer County, New Jersey, United States. It was established on January 1, 2013, through the consolidation of the Borough of Princeton, New Jersey, Borough of Princeton and Pri ...
, as well as the Hanoi Institute of Mathematics. He joined the mathematics faculty at the
University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, 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. Starting July 1, 2023, Châu has been serving as the new Chair of the Department of Mathematics at the University of Chicago.


Work

Châu first came to prominence by proving, in joint work with Gérard Laumon, the fundamental lemma for
unitary group Unitary may refer to: Mathematics * Unitary divisor * Unitary element * Unitary group * Unitary matrix * Unitary morphism * Unitary operator * Unitary transformation * Unitary representation * Unitarity (physics) * ''E''-unitary inverse semi ...
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. This allowed them to employ the tools of geometric
representation theory Representation theory is a branch of mathematics that studies abstract algebra, abstract algebraic structures by ''representing'' their element (set theory), elements as linear transformations of vector spaces, and studies Module (mathematics), ...
, 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 as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
problem of a number-theoretic nature. Chau eventually succeeded in formulating the proof for the fundamental lemma for
Lie algebra In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an operation called the Lie bracket, an alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g, that satisfies the Jacobi ident ...
s in 2008. Together with earlier results from Jean-Loup Waldspurger, who had shown that the full fundamental lemma results from this then missing result, this completed the proof of the fundamental lemma in all cases. As a result, Châu was awarded a
Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
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 for their achievement in solving the fundamental lemma for the case of
unitary group Unitary may refer to: Mathematics * Unitary divisor * Unitary element * Unitary group * Unitary matrix * Unitary morphism * Unitary operator * Unitary transformation * Unitary representation * Unitarity (physics) * ''E''-unitary inverse semi ...
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 The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
. By decree on 22 April 2011, he was awarded a
Knight A knight is a person granted an honorary title of a 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. The concept of a knighthood ...
of France's
Legion of Honour The National Order of the Legion of Honour ( ), formerly the Imperial Order of the Legion of Honour (), is the highest and most prestigious French national order of merit, both military and Civil society, civil. Currently consisting of five cl ...
. 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 The London Mathematical Society (LMS) is one of the United Kingdom's Learned society, learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh ...
.


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 Academics from Hanoi Paris-Sud 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 Academic staff of Sorbonne Paris North University Naturalized citizens of France Vietnamese emigrants to France French people of Vietnamese descent