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'Don Bernhard Zagier' (born 1951) is a German mathematician. He is currently one of the directors of the Max Planck Institute for Mathematics in
Bonn, Germany, and a professor at the ''Collège de France'' in Paris, France.
He was born in Heidelberg, Germany. He grew up in the United States, and studied for three years at M.I.T., completing his bachelor's and master's degree and being named a Putnam Fellow in 1967 at the age of 16. He wrote a doctoral dissertation on characteristic classes under Friedrich Hirzebruch, and later collaborated with Hirzebruch in work on Hilbert modular surfaces.
One of his most famous results is a joint work with Benedict Gross (the so-called Gross-Zagier formula). This formula relates the first derivative of the complex L-series of an elliptic curve evaluated at 1 to the height of a certain Heegner point. This extremely important theorem has many applications including implying cases of the Birch and Swinnerton-Dyer conjecture along with being a key ingredient to Dorian Goldfeld's proof of the class number problem.
He also is known for discovering a short and elementary proof of Fermat's theorem on sums of two squares [1][2].
He won the Cole Prize in 1987.
See also: Gross-Zagier theorem.
★ Biography from the webpage of the Max Planck Society
★
★ A One-Sentence Proof That Every Prime p≡1(mod 4) Is a Sum of Two Squares, D. Zagier, , , The American Mathematical Monthly, JSTOR URL
Bonn, Germany, and a professor at the ''Collège de France'' in Paris, France.
He was born in Heidelberg, Germany. He grew up in the United States, and studied for three years at M.I.T., completing his bachelor's and master's degree and being named a Putnam Fellow in 1967 at the age of 16. He wrote a doctoral dissertation on characteristic classes under Friedrich Hirzebruch, and later collaborated with Hirzebruch in work on Hilbert modular surfaces.
One of his most famous results is a joint work with Benedict Gross (the so-called Gross-Zagier formula). This formula relates the first derivative of the complex L-series of an elliptic curve evaluated at 1 to the height of a certain Heegner point. This extremely important theorem has many applications including implying cases of the Birch and Swinnerton-Dyer conjecture along with being a key ingredient to Dorian Goldfeld's proof of the class number problem.
He also is known for discovering a short and elementary proof of Fermat's theorem on sums of two squares [1][2].
He won the Cole Prize in 1987.
See also: Gross-Zagier theorem.
| Contents |
| External links |
External links
★ Biography from the webpage of the Max Planck Society
★
★ A One-Sentence Proof That Every Prime p≡1(mod 4) Is a Sum of Two Squares, D. Zagier, , , The American Mathematical Monthly, JSTOR URL
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