Caucher Birkar
| Caucher Birkar | |
|---|---|
| Born | Marivan, Iran |
| Residence | Cambridge, United Kingdom |
| Known for | flips, minimal models, finite generation, pluricanonical systems, boundedness of Fano varieties, char p geometry |
| Awards | Leverhulme prize, Prize of the Fondation Sciences Mathématiques de Paris, AMS Moore Prize |
| Website | https://www.dpmms.cam.ac.uk/~cb496/ |
| Scientific career | |
| Fields | Higher-dimensional and birational algebraic geometry |
| Institutions | University of Cambridge |
| Doctoral advisor | Ivan Fesenko and Vyacheslav Shokurov |
Caucher Birkar (Kurdish: کۆچەر بیرکار) is a Kurdish mathematician and a British citizen. He is a professor at the University of Cambridge. Birkar is a main contributor to modern birational geometry. In 2010 he received the Leverhulme Prize in mathematics and statistics for his contributions to algebraic geometry. and, in 2016, the AMS Moore Prize for the article "Existence of minimal models for varieties of log general type," Journal of the AMS (2010) (joint with P. Cascini, C. Hacon and J. McKernan)
Birkar was born in 1978 in Marivan, Kurdistan Province, Iran where he spent his school years. He studied mathematics at the University of Tehran where he received his bachelor's degree. After moving to the UK, in 2001–2004 Birkar was a PhD student at the University of Nottingham. In 2003 he was awarded the London Mathematical Society Prize as the most promising PhD student.
Birkar's main area of interest is algebraic geometry, in particular, higher dimensional birational geometry. He studied fundamental aspects of key problems in modern mathematics such as minimal models, Fano varieties, singularities, and linear systems. His theories provided solutions of various long-standing conjectures.
Together with Paolo Cascini, Christopher Hacon and James McKernan he settled several important conjectures including existence of log flips, finite generation of log canonical rings, and existence of minimal models for varieties of log general type, building upon earlier work of Vyacheslav Shokurov and of Hacon and McKernan. He also showed that the minimal model conjecture follows from the abundance conjecture and established links between the former conjecture and various other notions such as log canonical thresholds and Zariski decompositions.
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