Caucher Birkar

2.4k total citations · 1 hit paper
24 papers, 812 citations indexed

About

Caucher Birkar is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Caucher Birkar has authored 24 papers receiving a total of 812 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 15 papers in Mathematical Physics and 6 papers in Applied Mathematics. Recurrent topics in Caucher Birkar's work include Algebraic Geometry and Number Theory (22 papers), Advanced Algebra and Geometry (12 papers) and Geometric and Algebraic Topology (8 papers). Caucher Birkar is often cited by papers focused on Algebraic Geometry and Number Theory (22 papers), Advanced Algebra and Geometry (12 papers) and Geometric and Algebraic Topology (8 papers). Caucher Birkar collaborates with scholars based in United Kingdom, China and United States. Caucher Birkar's co-authors include Christopher D. Hacon, Paolo Cascini, De‐Qi Zhang, Vyacheslav Vladimirovich Shokurov, Jungkai A. Chen and Lei Zhang and has published in prestigious journals such as Advances in Mathematics, Journal of Differential Geometry and Publications mathématiques de l IHÉS.

In The Last Decade

Caucher Birkar

21 papers receiving 737 citations

Hit Papers

Existence of minimal models for varieties of log general ... 2009 2026 2014 2020 2009 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Existence of minimal models for varieties of log general type
    2009 533 citations Caucher Birkar, Paolo Cascini et al. Journal of the American Mathematical Society profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Caucher Birkar United Kingdom 10 793 426 159 123 90 24 812
Paolo Cascini United Kingdom 8 668 0.8× 342 0.8× 152 1.0× 106 0.9× 78 0.9× 23 682
Valery Alexeev United States 14 587 0.7× 341 0.8× 73 0.5× 130 1.1× 75 0.8× 34 602
Olivier Debarre France 15 835 1.1× 400 0.9× 193 1.2× 162 1.3× 153 1.7× 49 863
Christopher D. Hacon United States 18 1.4k 1.8× 782 1.8× 284 1.8× 245 2.0× 170 1.9× 57 1.4k
Shou-Wu Zhang United States 14 762 1.0× 506 1.2× 189 1.2× 304 2.5× 115 1.3× 26 838
N. I. Shepherd‐Barron United Kingdom 12 500 0.6× 273 0.6× 72 0.5× 109 0.9× 71 0.8× 25 529
Jonathan Wahl United States 19 851 1.1× 415 1.0× 173 1.1× 254 2.1× 162 1.8× 34 918
Burt Totaro United States 16 731 0.9× 522 1.2× 105 0.7× 189 1.5× 85 0.9× 52 791
Alessio Corti United Kingdom 13 583 0.7× 342 0.8× 51 0.3× 94 0.8× 73 0.8× 17 608
Vladimir G. Berkovich Israel 10 959 1.2× 838 2.0× 104 0.7× 171 1.4× 134 1.5× 15 1.0k

Countries citing papers authored by Caucher Birkar

Since Specialization
Citations

This map shows the geographic impact of Caucher Birkar's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Caucher Birkar with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Caucher Birkar more than expected).

Fields of papers citing papers by Caucher Birkar

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Caucher Birkar. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Caucher Birkar. The network helps show where Caucher Birkar may publish in the future.

Co-authorship network of co-authors of Caucher Birkar

This figure shows the co-authorship network connecting the top 25 collaborators of Caucher Birkar. A scholar is included among the top collaborators of Caucher Birkar based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Caucher Birkar. Caucher Birkar is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Birkar, Caucher, et al.. (2024). Boundedness of elliptic Calabi–Yau varieties with a rational section. Journal of Differential Geometry. 128(2). 3 indexed citations
2.
Birkar, Caucher. (2024). On connectedness of non-klt loci of singularities of pairs. Journal of Differential Geometry. 126(2).
3.
Birkar, Caucher. (2024). Boundedness of Fano type fibrations. Annales Scientifiques de l École Normale Supérieure. 2 indexed citations
4.
Birkar, Caucher. (2023). Some open problems in birational geometry. 11(1). 83–97. 1 indexed citations
5.
Birkar, Caucher, et al.. (2021). Особенности торических расслоений. Математический сборник. 212(3). 20–38.
6.
Birkar, Caucher, et al.. (2016). IITAKA CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS. Nagoya Mathematical Journal. 229. 21–51. 7 indexed citations
7.
Birkar, Caucher. (2016). The augmented base locus of real divisors over arbitrary fields. Mathematische Annalen. 368(3-4). 905–921. 15 indexed citations
8.
Birkar, Caucher, et al.. (2015). Images of manifolds with semi-ample anti-canonical divisor. Journal of Algebraic Geometry. 25(2). 273–287. 1 indexed citations
9.
Birkar, Caucher & Jungkai A. Chen. (2014). Varieties fibred over abelian varieties with fibres of log general type. Advances in Mathematics. 270. 206–222. 7 indexed citations
10.
Birkar, Caucher, et al.. (2014). Polarized pairs, log minimal models, and Zariski decompositions. Nagoya Mathematical Journal. 215. 203–224. 9 indexed citations
11.
Birkar, Caucher, et al.. (2014). Polarized pairs, log minimal models, and Zariski decompositions. Nagoya Mathematical Journal. 215. 203–224. 4 indexed citations
12.
Birkar, Caucher. (2013). Log canonical algebras and modules. Journal of the Mathematical Society of Japan. 65(4). 1 indexed citations
13.
Birkar, Caucher. (2011). On existence of log minimal models II. Journal für die reine und angewandte Mathematik (Crelles Journal). 2011(658). 26 indexed citations
14.
Birkar, Caucher. (2011). On existence of log minimal models and weak Zariski decompositions. Mathematische Annalen. 354(2). 787–799. 16 indexed citations
15.
Birkar, Caucher. (2010). On existence of log minimal models. Compositio Mathematica. 146(4). 919–928. 18 indexed citations
16.
Birkar, Caucher. (2009). The Iitaka conjecture Cn,m in dimension six. Compositio Mathematica. 145(6). 1442–1446. 15 indexed citations
17.
Birkar, Caucher. (2009). On termination of log flips in dimension four. Mathematische Annalen. 346(2). 251–257. 1 indexed citations
18.
Birkar, Caucher, et al.. (2009). Existence of minimal models for varieties of log general type. Journal of the American Mathematical Society. 23(2). 405–468. 533 indexed citations breakdown →
19.
Birkar, Caucher & Vyacheslav Vladimirovich Shokurov. (2009). Mld's vs thresholds and flips. Journal für die reine und angewandte Mathematik (Crelles Journal). 2010(638). 10 indexed citations
20.
Birkar, Caucher. (2006). Ascending chain condition for log canonical thresholds and termination of log flips. Duke Mathematical Journal. 136(1). 26 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Paolo Cascini Breakdown of academic impact, for papers by Valery Alexeev Breakdown of academic impact, for papers by Olivier Debarre Breakdown of academic impact, for papers by Christopher D. Hacon Breakdown of academic impact, for papers by Shou-Wu Zhang Breakdown of academic impact, for papers by N. I. Shepherd‐Barron Breakdown of academic impact, for papers by Jonathan Wahl Breakdown of academic impact, for papers by Burt Totaro Breakdown of academic impact, for papers by Alessio Corti Breakdown of academic impact, for papers by Vladimir G. Berkovich
Rankless by CCL
2026