BIMSA > 考切尔•比尔卡尔
首席教授 考切尔•比尔卡尔

单位: 清华丘成桐数学科学中心, 北京雁栖湖应用数学研究院

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      菲利普·莱弗休姆奖
  • 2010      Prize of the Fondation Science Mathématiques de Paris

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 (2020)
  • [4] C. Birkar, On connectedness of non-klt loci of singularities of pairs (2020)
  • [5] C. Birkar, Y. Chen, Singularities on toric fibrations (2020)
  • [6] C. Birkar, K. Loginov, Bounding non-rationality of divisors on 3-fold Fano fibrations (2020)
  • [7] C. Birkar, Generalised pairs in birational geometry. (2020)
  • [8] C. Birkar, Geometry and moduli of polarised varieties (2020)
  • [9] C. Birkar, Anti-pluricanonical systems on Fano varieties, Ann. of Math., 190(2), 345–463 (2019)
  • [10] C. Birkar, Log Calabi-Yau fibrations., arXiv:1811.10709v2. (2018)
  • [11] C. Birkar, J. Waldron, Existence of Mori fibre spaces for 3-folds in char p., Adv. in Math., 313(2017), 62-101 (2017)
  • [12] C. Birkar, The augmented base locus of real divisors over arbitrary fields., Math Ann.(3-4), 905-921 (2017)
  • [13] C. Birkar, Y. Chen, L. Zhang, Iitaka’s Cn,m conjecture for 3-folds over finite fields., Nagoya Math. J., 1-31 (2016)
  • [14] C. Birkar, D.-Q. Zhang, Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs., Pub. Math. IHES, 123, 283-331 (2016)
  • [15] C. Birkar, Existence of flips and minimal models for 3-folds in char p., Annales Scientifiques de l’ENS, 49(2016), 169-212 (2016)
  • [16] C. Birkar, Singularities on the base of a Fano type fibration., J. Reine Angew Math., 715(125-142) (2016)
  • [17] C. Birkar, Y. Chen, Images of manifolds with semi-ample anti-canonical divisor., J. Alg. Geom., 25(1), 273-287 (2016)
  • [18] C. Birkar, J.A. Chen, Varieties fibred over abelian varieties with fibres of log general type., Adv. in Math., 270(2015), 206-222 (2015)
  • [19] C. Birkar, Z. Hu, Log canonical pairs with good augmented base loci., Compos. Math, 150(4), 579-592 (2014)
  • [20] C. Birkar, Z. Hu, Polarized pairs, log minimal models, and Zariski decompositions, Nagoya Math. J., 215(2014), 203-224 (2014)
  • [21] C. Birkar, Existence of log canonical flips and a special LMMP., Pub. Math. IHES, 115(1), 325-368 (2012)
  • [22] C. Birkar, On existence of log minimal models and weak Zariski decompositions, Math Ann., 354(2), 787-799 (2012)
  • [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] Caucher Birkar, Paolo Cascini, Christopher D. Hacon and James McKernan, Existence of minimal models for varieties of log general type, J. Amer. Math. Soc., 23, 405-468 (2010)
  • [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., 1442-1446. (2009)
  • [28] C. Birkar, Ascending chain condition for log canonical thresholds and termination of log flips., Duke Math. Journal, 136(1), 173-180 (2007)

 

更新时间: 2025-08-12 16:00:07