# Caucher Birkar

Kurdish mathematician

## Caucher Birkar's AcademicInfluence.com Rankings

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Mathematics

## Caucher Birkar's Degrees

- PhD Mathematics University of Nottingham

## Why Is Caucher Birkar Influential?

(Suggest an Edit or Addition)According to Wikipedia, Caucher Birkar is an Iranian Kurdish mathematician and a professor at Tsinghua University and at the University of Cambridge. Birkar is an important 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, shared the AMS Moore Prize for the article "Existence of minimal models for varieties of log general type". He was awarded the Fields Medal in 2018, "for his proof of boundedness of Fano varieties and contributions to the minimal model program". In his office at the University, Birkar has two photographs of Alexander Grothendieck, his favorite mathematician, who like Birkar, was a refugee and Fields medalist.

## Caucher Birkar's Published Works

### Published Works

- Singularities of linear systems and boundedness of Fano varieties (2016) (226)
- Anti-pluricanonical systems on Fano varieties (2016) (156)
- Existence of log canonical flips and a special LMMP (2011) (135)
- Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs (2014) (121)
- Higher dimensional algebraic geometry in honour of Professor Yujiro Kawamata's sixtieth birthday (2017) (117)
- Existence of flips and minimal models for 3-folds in char p (2013) (108)
- Existence of Mori fibre spaces for 3-folds in char $p$ (2014) (76)
- On existence of log minimal models (2007) (74)
- Ascending chain condition for log canonical thresholds and termination of log flips (2007) (70)
- On existence of log minimal models II (2009) (66)
- On existence of log minimal models and weak Zariski decompositions (2009) (40)
- Singularities on the base of a Fano type fibration (2012) (39)
- The augmented base locus of real divisors over arbitrary fields (2013) (34)
- Polarized pairs, log minimal models, and Zariski decompositions (2014) (30)
- The Iitaka conjecture Cn,m in dimension six (2008) (27)
- Mld's vs thresholds and flips (2006) (27)
- Generalised pairs in birational geometry (2020) (26)
- Varieties fibred over abelian varieties with fibres of log general type (2013) (24)
- Log Calabi-Yau fibrations (2018) (21)
- On connectedness of non-klt loci of singularities of pairs (2020) (20)
- Geometry and moduli of polarised varieties (2020) (19)
- Log canonical pairs with good augmented base loci (2013) (18)
- Boundedness of elliptic Calabi-Yau varieties with a rational section. (2020) (16)
- Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU (2009) (16)
- IITAKA $C_{n,m}$ CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS (2015) (12)
- Topics in algebraic geometry (2011) (11)
- Images of manifolds with semi-ample anti-canonical divisor (2016) (10)
- IITAKA’S Cn,m CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS (2015) (10)
- Boundedness and volume of generalised pairs (2021) (8)
- Algebraic Geometry Lecture Notes (2010) (7)
- Log minimal models according to Shokurov (2008) (7)
- ACC for log canonical thresholds and termination of log flips (2005) (6)
- Boundedness of ̄-Log Canonical Complements on Surfaces (2006) (6)
- Supplement to the paper (2011) (6)
- On termination of log flips in dimension four (2008) (5)
- On log minimal models and Zariski decompositions II (2013) (5)
- Geometry of polarised varieties (2020) (5)
- Singularities on toric fibrations (2020) (5)
- On the moduli part of the Kawamata-Kodaira canonical bundle formula (2012) (4)
- LOG CANONICAL ALGEBRAS AND MODULES (2013) (3)
- Divisorial algebras and modules on schemes (2011) (3)
- BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (2017) (2)
- Lectures on birational geometry (2012) (2)
- Topics in algebraic geometry Lecture notes of an advanced graduate course (2010) (2)
- Variations of generalised pairs (2022) (2)
- Boundedness of Fano type fibrations (2022) (1)
- Bounding non-rationality of divisors on 3-fold Fano fibrations (2020) (1)
- Elements of Nonstandard Algebraic Geometry (2003) (1)
- IITAKA Cn,m CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS (2018) (1)
- Supplement to the paper "On existence of log minimal models II" (2011) (1)
- Anticanonical volume of Fano 4-folds (2022) (1)
- Abstracts of Lectures Moduli 2007 September 3 -7, Hokkaido University (2007) (0)
- On existence of log minimal models and weak Zariski decompositions (2011) (0)
- Birational geometry (2007) (0)
- Algebraic Geometry (2012) (0)
- On Shokurov's Log Flips: The 3 dimensional case (2003) (0)
- ICMS Workshop on Birational Geometry held in honour of Vyacheslav V. Shokurov's 60th birthday (2014) (0)
- The augmented base locus of real divisors over arbitrary fields (2016) (0)
- Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs (2016) (0)
- Vyacheslav Vladimirovich Shokurov (2021) (0)
- Se p 20 06 Mld ’ s vs thresholds and flips (2008) (0)
- A Personal Journey into the World of Mathematics (2020) (0)
- Moduli of algebraic varieties (2022) (0)
- Part II — Galois Theory (2018) (0)
- Boundedness of $\epsilon$-log Canonical Complements on Surfaces (2004) (0)
- Boundedness of ǫ-lc Complements on Surfaces (2008) (0)
- From fields to Fields (2020) (0)
- Existence of log canonical flips and a special LMMP (2012) (0)
- ABSTRACTS OF LECTURES MODULI 2007 (2007) (0)

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## What Schools Are Affiliated With Caucher Birkar?

Caucher Birkar is affiliated with the following schools: