Caucher Birkar - 清华大学 - 丘成桐数学科学中心

个人简介

教育背景 2001-2004 博士诺丁汉大学工作经历英国剑桥大学教授清华大学丘成桐数学科学中心教授荣誉与奖励 2019年英国皇家学会会员 2018年菲尔兹奖得主 2010年菲利普·莱弗休姆奖 2010年 Prize of the Fondation Sciences Mathématiques de Paris

研究领域

双有理几何

近期论文

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C. Birkar, Boundedness and volume of generalised pairs. arXiv:2103.14935v2. C. Birkar, G. Di Cerbo, R. Svaldi; Boundedness of elliptic Calabi-Yau varieties with a rational section. arXiv:2010.09769v1. C. Birkar, On connectedness of non-klt loci of singularities of pairs. arXiv:2010.08226v1. C. Birkar, Y. Chen, Singularities on toric fibrations. arXiv:2010.07651v1. C. Birkar, K. Loginov, Bounding non-rationality of divisors on 3-fold Fano fibrations. arXiv:2007.15754v1. C. Birkar, Generalised pairs in birational geometry. arXiv:2008.01008v2. C. Birkar, Geometry and moduli of polarised varieties.. arXiv:2006.11238v1 (2020). C. Birkar, Log Calabi-Yau fibrations. arXiv:1811.10709v2. C. Birkar, Singularities of linear systems and boundedness of Fano varieties. Ann. of Math, 193, No. 2 (2021), 347–405. C. Birkar; Anti-pluricanonical systems on Fano varieties, Ann. of Math. 190, No. 2 (2019), 345–463. C. Birkar, Y. Chen, L. Zhang, Iitaka’s Cn,m conjecture for 3-folds over finite fields. Nagoya Math. J., (2016), 1-31. C. Birkar, J. Waldron; Existence of Mori fibre spaces for 3-folds in char p. Adv. in Math. 313 (2017), 62-101. C. Birkar, D.-Q. Zhang; Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs. Pub. Math. IHES 123 (2016), 283-331. C. Birkar; The augmented base locus of real divisors over arbitrary fields. Math Ann. 368 (2017), no. 3-4, 905-921. C. Birkar, J.A. Chen; Varieties fibred over abelian varieties with fibres of log general type. Adv. in Math. 270 (2015), 206-222. C. Birkar; Existence of flips and minimal models for 3-folds in char p. Annales Scientifiques de l’ENS, 49 (2016), 169-212. C. Birkar; Singularities on the base of a Fano type fibration. J. Reine Angew Math., 715 (2016), 125-142. C. Birkar, Y. Chen; Images of manifolds with semi-ample anti-canonical divisor. J. Alg. Geom., 25 (2016), 273-287. C. Birkar, Z. Hu; Log canonical pairs with good augmented base loci. Compos. Math, 150, 04, (2014), 579-592. C. Birkar, Z. Hu; Polarized pairs, log minimal models, and Zariski decompositions. Nagoya Math. J. Volume 215 (2014), 203-224. C. Birkar; Existence of log canonical flips and a special LMMP. Pub. Math. IHES. Volume 115 (2012), 1, 325-368. C. Birkar; On existence of log minimal models and weak Zariski decompositions. Math Ann., Volume 354 (2012), Number 2, 787-799. C. Birkar; On existence of log minimal models II. J. Reine Angew Math. 658 (2011), 99-113. C. Birkar; The Iitaka conjecture C n,m in dimension six. Compos. Math. 145 (2009), 1442-1446. C. Birkar; On existence of log minimal models. Compos. Math. 146 (2010), 919-928. C. Birkar; P. Cascini; C. Hacon; J. M c Kernan; Existence of minimal models for varieties of log general type. J. Amer. Math. Soc. 23 (2010), 405-468. C. Birkar; V.V. Shokurov; Mld’s vs thresholds and flips. J. Reine Angew. Math. 638 (2010), 209-234. C. Birkar; Ascending chain condition for log canonical thresholds and termination of log flips. Duke Math. Journal, volume 136, no 1, (2007), 173-180.×××