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Faculty of Mathematics

 

Professor Caucher Birkar

Professor of Mathematics

Research Interests: Algebraic Geometry

Publications

Singularities of linear systems and boundedness of Fano varieties
C Birkar
– Annals of Mathematics
(2021)
193,
347
(doi: 10.4007/annals.2021.193.2.1)
Generalised pairs in birational geometry
C Birkar
– EMS Surveys in Mathematical Sciences
(2021)
8,
5
(doi: 10.4171/emss/42)
Singularities on toric fibrations
C Birkar, Y Chen
– Sbornik: Mathematics
(2021)
212,
288
(doi: 10.1070/sm9446)
Singularities of linear systems and boundedness of Fano varieties
C Birkar
– Annals of Mathematics
(2021)
193,
347
(doi: 10.4007/annals.2021.193.2.1)
Boundedness of elliptic Calabi-Yau varieties with a rational section
C Birkar, GD Cerbo, R Svaldi
(2020)
(link to publication)
On connectedness of non-klt loci of singularities of pairs
C Birkar
(2020)
(link to publication)
Bounding non-rationality of divisors on 3-fold Fano fibrations
C Birkar, K Loginov
– no.
(2020)
779,
2021
(link to publication)
Geometry of polarised varieties
C Birkar
(2020)
(link to publication)
Anti-pluricanonical systems on Fano varieties
C Birkar
– Annals of Mathematics
(2019)
190,
345
(doi: 10.4007/annals.2019.190.2.1)
Log Calabi-Yau fibrations
C Birkar
– arXiv
(2018)
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Research Group

Algebraic Geometry

Email

C.Birkar@dpmms.cam.ac.uk

Personal homepage

https://www.dpmms.cam.ac.uk/~cb496

Study at Cambridge

About the University

Research at Cambridge