# Daniel Quillen

## American mathematician known for higher algebraic K-theory, / From Wikipedia, the free encyclopedia

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**Daniel Gray** "**Dan**" **Quillen** (June 22, 1940 – April 30, 2011) was an American mathematician. He is known for being the "prime architect" of higher algebraic *K*-theory, for which he was awarded the Cole Prize in 1975 and the Fields Medal in 1978.

**Quick facts: Daniel Quillen, Born, Died, Nationality, Know...**▼

Daniel Quillen | |
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Born | |

Died | April 30, 2011 70) Haven Hospice,[1] North Florida | (aged

Nationality | American |

Known for | Algebraic K-theory (Quillen's Q-construction), Quillen–Suslin theorem, Bass–Quillen conjecture, rational homotopy theory, Quillen determinant line bundle, Mathai–Quillen formalism, Quillen's lemma, Quillen metric, Quillen's theorems A and B |

Awards | Fields Medal (1978) Cole Prize (1975) Putnam Fellow (1959) |

Scientific career | |

Fields | Mathematics |

Thesis | Formal Properties of Over-Determined Systems of Linear Partial Differential Equations (1964) |

Doctoral advisor | Raoul Bott |

Doctoral students | Kenneth Brown Varghese Mathai |

Influences | Michael Atiyah Alexander Grothendieck Jean-Pierre Serre |

From 1984 to 2006, he was the Waynflete Professor of Pure Mathematics at Magdalen College, Oxford.