Chandrashekhar Khare
Encyclopedia
Chandrashekhar B. Khare (born 1967) is a professor of mathematics
at the University of California Los Angeles. In 2005, he made a major advance in the field of Galois representations and number theory
by proving the level 1 Serre conjecture
, and later a proof of the full conjecture with Jean-Pierre Wintenberger
. He is also the recipient of the Infosys Prize
2010 in the category of Mathematical Sciences.
. His Ph.D. thesis was published in the Duke Mathematical Journal
. He proved Serre's conjecture with Jean-Pierre Wintenberger
, published in Inventiones Mathematicae
.
. Currently, he is a professor at University of California, Los Angeles.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
at the University of California Los Angeles. In 2005, he made a major advance in the field of Galois representations and number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
by proving the level 1 Serre conjecture
Serre conjecture (number theory)
In mathematics, Jean-Pierre Serre conjectured the following result regarding two-dimensional Galois representations. This was a significant step in number theory, though this was not realised for at least a decade.-Formulation:...
, and later a proof of the full conjecture with Jean-Pierre Wintenberger
Jean-Pierre Wintenberger
Jean-Pierre Wintenberger is a French mathematician, and currently a professor of mathematics at the University of Strasbourg. He was corecipient of the 2011 Cole Prize in number theory, along with Chandrashekhar Khare, for his proof of Serre's modularity conjecture.Wintenberger earned his Ph.D. at...
. He is also the recipient of the Infosys Prize
Infosys Prize
The Infosys Prize is an annual award that recognizes outstanding contributions by scientists, researchers, engineers and social scientists in India. By recognizing and rewarding extraordinary accomplishments, the Infosys Prize aims to elevate the prestige of pure and applied sciences research in...
2010 in the category of Mathematical Sciences.
Early years
Resident of Mumbai, India and completed his undergraduate education from Trinity College at Cambridge University. He finished his thesis in 1995 under the supervision of Haruzo Hida at California Institute of TechnologyCalifornia Institute of Technology
The California Institute of Technology is a private research university located in Pasadena, California, United States. Caltech has six academic divisions with strong emphases on science and engineering...
. His Ph.D. thesis was published in the Duke Mathematical Journal
Duke Mathematical Journal
Duke Mathematical Journal is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas. The first issue included a paper by Solomon Lefschetz...
. He proved Serre's conjecture with Jean-Pierre Wintenberger
Jean-Pierre Wintenberger
Jean-Pierre Wintenberger is a French mathematician, and currently a professor of mathematics at the University of Strasbourg. He was corecipient of the 2011 Cole Prize in number theory, along with Chandrashekhar Khare, for his proof of Serre's modularity conjecture.Wintenberger earned his Ph.D. at...
, published in Inventiones Mathematicae
Inventiones Mathematicae
Inventiones Mathematicae, often just referred to as Inventiones, is a mathematical journal published monthly by Springer Verlag. It was founded in 1966.-Editors:...
.
Career
He started his career as a Fellow at Tata Institute of Fundamental ResearchTata Institute of Fundamental Research
The Tata Institute of Fundamental Research is a research institution in India dedicated to basic research in mathematics and the sciences. It is a Deemed University and works under the umbrella of the Department of Atomic Energy of the Government of India. It is located at Navy Nagar, Colaba, Mumbai...
. Currently, he is a professor at University of California, Los Angeles.