BIMSA > 考切尔•比尔卡尔
首席教授 考切尔•比尔卡尔

单位: 北京雁栖湖应用数学研究院 , 清华丘成桐数学科学中心

团队: 代数几何

邮箱: caucherbirkar@bimsa.cn

研究方向: 代数几何

个人主页: https://ymsc.tsinghua.edu.cn/info/1031/2291.htm

个人简介

英籍数学家，曾任剑桥大学教授。曾就读伊朗德黑兰大学数学系，2004年获诺丁汉大学博士学位。毕业后迁居英国。主要研究领域是代数几何，特别是更高维度的双向几何。2018年荣获数学界最高奖菲尔兹奖。

教育经历

  • 2001 - 2004      诺丁汉大学      数学      博士

工作经历

  • 2022 -      北京雁栖湖应用数学研究院      Professor
  • 2006 - 2021      剑桥大学      教授
  • 2004 - 2006      华威大学      研究员

荣誉与奖项

  • 2019      英国皇家学会会员
  • 2018      菲尔兹奖
  • 2010      Prize of the Fondation Science Mathématiques de Paris
  • 2010      菲利普·莱弗休姆奖

出版物

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

 

更新时间: 2025-04-14 17:08:49