Professor Caucher Birkar | Department of Pure Mathematics and Mathematical Statistics

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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)

On connectedness of non-klt loci of singularities of pairs

C Birkar

(2020)

Bounding non-rationality of divisors on 3-fold Fano fibrations

C Birkar, K Loginov

– no.

(2020)

779,

2021

Geometry of polarised varieties

C Birkar

(2020)

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)