Chandrashekhar khare biography

mathematician

Chandrashekhar B. Khare is a professor of mathematics at the University of California Los Los Angeles

Education

Resident of Mumbai, India and completed his undergraduate education at Trinity College, Cambridge University.

Career

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 finished his thesis in 1995 under the supervision of Haruzo Hida at California Institute of Technology. His Doctor of Philosophy thesis was published in the Duke Mathematical Journal.

He proved Serre"s conjecture with Jean-Pierre Wintenberger, published in Inventiones Mathematicae.

He started his career as a Fellow at Tata Institute of Fundamental Research. Currently, he is a professor at University of California, Los Los Angeles

Achievements

• Khare is the winner of the Institut National des Sciences Appliquées Young Scientist Award (1999),

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  The Infosys Prize in Mathematics is awarded to Chandrashekhar B. Khare in recognition of his fundamental contributions to Number Theory, particularly his solution of the Serre conjecture.

  Infographic:

  Unlocking puzzles in number theory

  Number Theory, one of the oldest branches of mathematics, is concerned with the structure of the set of integers and its relation to the geometric world. One of the most profound discoveries of 18th century mathematics, by Gauss, was that there exists a geometric construction of a regular 17-gon by ruler and compass (i.e., there is a way to subdivide the circle into 17 equal parts) but there is none of a 19-gon. How does 17 differ from 19? In fact, Gauss discovered a deeply hidden symmetry, which cannot be grasped just by looking at a circle in the plane. This insight completely transformed mathematics. Indeed, much of modern research is a search for such 'hidden symmetries'.

  Serre's conjecture is about the analysis of symmetries such as the ones coming from elliptic curves, rather than circles. They play an important role in, for exampl

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  Professor Chandrashekhar Khare FRS

  Shekhar Khare is a mathematician who has made significant advances in the study of the relationship between Galois representations and modular forms, which relate to the study of whole numbers. His skill is in finding ingenious but relatively simple new ideas in these areas.

  He is an extremely original mathematician, having worked alongside Jean-Pierre Wintenberger to prove a mathematical theory named Serre’s conjecture, when the proof was originally considered out of reach. In 2011, they jointly received the Cole Prize in number theory for their work.

  Beginning his life in Mumbai, India, he went on to complete an undergraduate degree at Trinity College Cambridge. He started his career at the Tata Institute of Fundamental Research, Mumbai, and is now a professor at the University of California, Los Angeles. In 2012, he became a Fellow of the Royal Society as well as a fellow of the American Mathematical Society.