Caucher Birkar

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Caucher Birkar
Born Marivan, Iran
Residence Cambridge, United Kingdom
Fields Higher-dimensional and birational algebraic geometry
Institutions University of Cambridge
Doctoral advisor Ivan Fesenko and Vyacheslav Shokurov
Known for Log flips in higher dimensions
Notable awards Leverhulme prize, Prize of the Fondation Sciences Mathématiques de Paris

Caucher Birkar (Kurdish: کۆچەر بیرکار) is a Kurdish mathematician who is currently engaged in research and teaching at the University of Cambridge. In 2010 he received the Leverhulme Prize in mathematics and statistics for his contributions to algebraic geometry.[1]

Early years and education[edit]

Caucher Birkar was born to Kurdish parents in 1978 in Marivan, Iran. He spent his earliest years in Marivan, where he also studied. He moved to Tehran to study mathematics at the University of Tehran, where he received his bachelor's degree. Birkar received his PhD degree at the University of Nottingham, after moving to the United Kingdom.


His main area of interest is algebraic geometry, in particular, birational geometry. Birkar settled the existence of log flips in higher dimensions,[2] continuing Vyacheslav Shokurov's work. He has, along with several other mathematicians, proved that the canonical ring of a smooth projective variety is finitely generated.[3] Birkar has also proved that every variety of general type over a field of characteristic zero has a minimal model.[4]


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