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- Don_Zagier abstract "Don Bernard Zagier (born 29 June 1951) is an American mathematician whose main area of work is number theory. 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, West Germany. His mother was a psychiatrist, and his father was the dean of instruction at the American College of Switzerland. His father held five different citizenships, and he spent his youth living in many different countries. After finishing high school (at age 13) and attending Winchester College for a year, he studied for three years at M.I.T., completing his bachelor's and master's degrees and being named a Putnam Fellow in 1967 at the age of 16. He then wrote a doctoral dissertation on characteristic classes under Friedrich Hirzebruch at Bonn, receiving his PhD at 20. He received his Habilitation at the age of 23, and was named professor at the age of 24.He collaborated with Hirzebruch in work on Hilbert modular surfaces. Hirzebruch and Zagier coauthored Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus, where they proved that intersection numbers of algebraic cycles on a Hilbert modular surface occur as Fourier coefficients of a modular form. Stephen Kudla, John Millson and others generalized this result to intersection numbers of algebraic cycles on arithmetic quotients of symmetric spaces.One of his 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 theorem has some applications including implying cases of the Birch and Swinnerton-Dyer conjecture along with being an ingredient to Dorian Goldfeld's solution of the class number problem. As a part of their work, Gross and Zagier found a formula for norms of differences of singular moduli. Zagier later found a formula for traces of singular moduli as Fourier coefficients of a weight 3/2 modular form.Zagier collaborated with John Harer to calculate the orbifold Euler characteristics of moduli spaces of algebraic curves, relating them to special values of the Riemann zeta function.Zagier found a formula for the value of the Dedekind zeta function of an arbitrary number field at s = 2 in terms of the dilogarithm function, by studying arithmetic hyperbolic 3-manifolds. He later formulated a general conjecture giving formulas for special values of Dedekind zeta functions in terms of polylogarithm functions.He discovered a short and elementary proof of Fermat's theorem on sums of two squares.Zagier won the Cole Prize in Number Theory in 1987 and the von Staudt Prize in 2001.".
- Don_Zagier almaMater University_of_Bonn.
- Don_Zagier birthDate "1951-06-29".
- Don_Zagier birthPlace Germany.
- Don_Zagier birthPlace Heidelberg.
- Don_Zagier birthPlace West_Germany.
- Don_Zagier birthYear "1951".
- Don_Zagier doctoralAdvisor Friedrich_Hirzebruch.
- Don_Zagier doctoralStudent Maxim_Kontsevich.
- Don_Zagier doctoralStudent Svetlana_Katok.
- Don_Zagier doctoralStudent Winfried_Kohnen.
- Don_Zagier field Mathematics.
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- Don_Zagier knownFor Heegner_point.
- Don_Zagier knownFor Herglotz%E2%80%93Zagier_function.
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- Don_Zagier nationality United_States.
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- Don_Zagier almaMater University_of_Bonn.
- Don_Zagier birthDate "1951-06-29".
- Don_Zagier birthPlace Heidelberg.
- Don_Zagier birthPlace West_Germany.
- Don_Zagier dateOfBirth "1951-06-29".
- Don_Zagier doctoralAdvisor Friedrich_Hirzebruch.
- Don_Zagier doctoralStudents Maxim_Kontsevich.
- Don_Zagier doctoralStudents Svetlana_Katok.
- Don_Zagier doctoralStudents Winfried_Kohnen.
- Don_Zagier fields Mathematics.
- Don_Zagier gnd "120415569".
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- Don_Zagier knownFor Gross–Zagier_theorem.
- Don_Zagier knownFor Herglotz–Zagier_function.
- Don_Zagier lccn "n/84/183743".
- Don_Zagier name "Don Zagier".
- Don_Zagier name "Zagier, Don Bernhard".
- Don_Zagier nationality United_States.
- Don_Zagier placeOfBirth Germany.
- Don_Zagier placeOfBirth Heidelberg.
- Don_Zagier shortDescription "American mathematician".
- Don_Zagier viaf "108139052".
- Don_Zagier workplaces Collège_de_France.
- Don_Zagier workplaces Max-Planck-Institut_für_Mathematik.
- Don_Zagier description "American mathematician".
- Don_Zagier description "American mathematician".
- Don_Zagier subject Category:1951_births.
- Don_Zagier subject Category:20th-century_mathematicians.
- Don_Zagier subject Category:American_mathematicians.
- Don_Zagier subject Category:Collège_de_France_faculty.
- Don_Zagier subject Category:German_emigrants_to_the_United_States.
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- Don_Zagier subject Category:Massachusetts_Institute_of_Technology_alumni.
- Don_Zagier subject Category:Number_theorists.
- Don_Zagier subject Category:Putnam_Fellows.
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- Don_Zagier comment "Don Bernard Zagier (born 29 June 1951) is an American mathematician whose main area of work is number theory. 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, West Germany. His mother was a psychiatrist, and his father was the dean of instruction at the American College of Switzerland.".
- Don_Zagier label "Don Zagier".
- Don_Zagier label "Don Zagier".
- Don_Zagier label "Don Zagier".
- Don_Zagier label "Don Zagier".
- Don_Zagier label "Don Zagier".
- Don_Zagier label "Don Zagier".
- Don_Zagier label "Цагир, Дон".
- Don_Zagier sameAs Don_Zagier.
- Don_Zagier sameAs Don_Zagier.
- Don_Zagier sameAs Don_Zagier.
- Don_Zagier sameAs 돈_재기어.