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Manjul Bhargava
Mathematician

Manjul Bhargava

Famoose for

Winning the Fields Medal for new ways to count and understand important number systems.

Generalised factorials · Higher Composition Laws

Born
8 August 1974
Birthplace
Hamilton, Canada

More people

Manjul Bhargava

Bhargava’s number theory connects elegant patterns with difficult questions about equations. Raised in the United States, he also draws inspiration from Sanskrit and Indian classical music.

Early life

A mathematical home

Grew up on Long Island; his mother, a mathematics professor, was his first teacher.

Harvard and Princeton

Studied at Harvard and earned his Princeton doctorate in 2001 under Andrew Wiles.

Career

  1. 2001

    Doctoral breakthrough

    Completed Higher Composition Laws, extending ideas associated with Carl Friedrich Gauss.

  2. 2003

    Princeton professor

    Was appointed a tenured full professor after research fellowships.

  3. 2014

    Fields Medal

    Received the medal for advances in the geometry of numbers and elliptic curves.

Contributions

Generalised factorials

Published a new approach to the factorial function and its extensions.

Higher Composition Laws

Published a series developing new relationships between algebraic structures.

Elliptic curves

With Arul Shankar, established major results about the average number of independent rational solutions.

Beyond mathematics

Tabla

Studied the Indian percussion instrument with teachers including Zakir Hussain.

Sanskrit

Learned Sanskrit from his grandfather and has spoken about the links between poetry, rhythm and mathematics.

Sources & photo creditLife, career and referencesInstitutional biography and contributions

Photo: IMU. FAL · Original image. Cropped and displayed in monochrome.