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| Name |
Bhargava, Manjul |
| Location
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Princeton University |
| Primary Field
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Mathematics |
 Election Citation
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Bhargava has quickly established himself a world leader in number theory. His unexpected discoveries of algebraic structures in the diophantine theory of homogeneous spaces led him to the solution of a number of fundamental problems concerning such basic objects in number theory as algebraic number fields and elliptic curves. |
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Research Interests
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Using varied techniques from algebra, analysis, and geometry, Bhargava addresses basic questions in number theory. Examples include: when does a positive-definite quadratic form with integer coefficients take every possible positive integer value? What is the probability that an elliptic curve equation y^2 = x^3 + A x + B has a rational solution (x,y)? What is the probability that a random integer polynomial of large degree takes a square value? Bhargava uses such questions as a starting point to study the structure of the integers, higher degree polynomials and forms over the integers, and related arithmetic and geometric objects. |
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