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Bernhard Riemann
Mathematician

Bernhard Riemann

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Developing the geometry later used in general relativity and posing the Riemann hypothesis about prime numbers.

Riemann surfaces · Curved spaces

Born
17 September 1826
Birthplace
Breselenz, Germany
Died
20 July 1866

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Bernhard Riemann

Riemann’s short career changed how mathematicians study curved spaces, complex functions and prime numbers. His ideas supplied tools that later became central to Albert Einstein’s account of gravity.

Early life

A pastor’s family

Grew up in a large family in the Kingdom of Hanover and initially prepared to study theology.

Turning to mathematics

Studied at Göttingen and Berlin, learning from Carl Friedrich Gauss and other leading mathematicians.

Career

  1. 1851

    Doctoral research

    Completed his Göttingen doctorate on complex functions.

  2. 1854

    A new geometry

    Delivered his qualifying lecture on the foundations of geometry.

  3. 1859

    Göttingen professorship

    Succeeded Dirichlet as a full professor, before illness cut short his career.

Contributions

Riemann surfaces

Used surfaces to make the behaviour of complex functions easier to understand.

Curved spaces

Explained how geometry could extend beyond flat space and three dimensions.

Prime numbers

Connected the distribution of primes with the zeta function and proposed his famous hypothesis.

Beyond mathematics

Family life

Married Elise Koch in 1862; they had a daughter.

Journeys for health

Tuberculosis led him to spend time in Italy, where he died in 1866.

Sources & photo creditLife, career and referencesUniversity of St Andrews biography

Photo: See source. Public domain · Original image. Cropped and displayed in monochrome.