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教师主页 团队成员 科研项目 研究领域 学术成果 教学 科研分享 新闻动态 疼痛医学中心 成果介绍 软件 毕业去向 加入我们 联系我们 Efim Zelmanov 中科院外籍院士、美国科学院院士、讲席教授、深圳国际数学中心主任 数学系, 杰曼诺夫数学中心 埃菲·杰曼诺夫，俄罗斯裔美国数学家，中国科学院外籍院士，美国科学院院士，菲尔茨奖获得者，美国艺术与科学院院士，西班牙皇家科学院院士，美国数学学会会员；主要工作涉及非结合代数、群论等。他解决了20世纪群论学家以及代数学家们所困扰的限制Burnside问题，这个1902年提出的猜想是有限群理论最古老并最有影响的问题，因为其突破性的贡献，于1994年获得菲尔兹奖。1980起，任俄罗斯科学院数学研究所教授；1990-1994, 威斯康星大学麦迪逊分校教授；1994-1995, 芝加哥大学教授；2002年起任美国加州圣地亚哥大学讲席教授，2019年2月起，担任南方科技大学杰曼诺夫数学中心主任。2022年7月起，全职加盟南方科技大学任讲席教授。 个人简介 埃菲•杰曼诺夫是美国科学院院士、中国科学院外籍院士、美国艺术与科学学院院士、西班牙皇家学院外籍院士、韩国科学院外籍院士、巴西科学院外籍院士、美国数学学会会士。南方科技大学讲席教授、深圳国际数学中心（杰曼诺夫数学中心）主任。他解决了20世纪群论学家以及代数学家们所困扰的限制Burnside问题，这个1902年提出的猜想是有限群理论最古老并最有影响的问题，因为其突破性的贡献，于1994年获得菲尔兹奖。1990年东京国际数学家大会报告上Zelmanov报告他在挠群方面的杰出工作，证明有挠紧群是局部紧的，这又解决了该领域的一大难题。对Zelmanov在数学领域的突出贡献，他被认为是当代最著名的数学家之一。 荣誉及获奖 中国科学院外籍院士 菲尔兹奖 美国国家科学院院士 美国艺术与科学院院士 1983，1990，1994--国际数学家大会发言人 安德烈艾森施塔特奖 西班牙皇家科学院外籍院士 韩国科学技术院外籍院士 德国哈根大学，西班牙奥维耶多大学，加拿大阿尔伯塔大学，林肯大学--荣誉博士 美国数学学会会员 法兰西学院奖 个人简介 研究领域 代数，若尔当代数，无限离散群，投射有限群 学术成果 查看更多 S. I. Adyan, E. I. Zel0manov, G. A. Margulis, S. P. Novikov, A. S. Rapinchuk, L. D. Faddeev, and V. I. Yanchevski˘ı, Vladimir Petrovich Platonov (on the occasion of his sixtieth birthday), Uspekhi Mat. Nauk 55 (2000), no. 3(333), 197–204. MR 1777370 (2001d:01020) Adel Alahmadi, Hamed Alsulami, S. K. Jain, and Efim Zelmanov, Leavitt path algebras of finite Gelfand-Kirillov dimension, Algebra Appl. 11 (2012), no. 6, 1250225, 6. MR 2997464 Adel Alahmedi, Hamed Alsulami, Surender Jain, and Efim I. Zelmanov, Structure of Leavitt path algebras of polynomial growth,Proc. Natl. Acad. Sci. USA 110 (2013), no. 38, 15222–15224. MR 3153959 Y. Barnea, A. Shalev, and E. I. Zelmanov, Graded subalgebras of affine Kac-Moody algebras, Israel J. Math. 104 (1998), 321–334. MR 1622319 (99d:17025) Georgia Benkart and Efim Zelmanov, Lie algebras graded by root systems, Non-associative algebra and its applications (Oviedo,1993), Math. Appl., vol. 303, Kluwer Acad. Publ., Dordrecht, 1994, pp. 31–38. MR 1338154 (96h:17040) , Lie algebras graded by finite root systems and intersection matrix algebras, Invent. Math. 126 (1996), no. 1, 1–45. MR 1408554 (97k:17044) V. V. Benyash-Krivets, A. B. Zhizhchenko, E. I. Zel0manov, and et al., Vladimir Petrovich Platonov (on the occasion of his seventieth birthday), Uspekhi Mat. Nauk 65 (2010), no. 3(393), 203–206. MR 2682729 M. Cabrera Garcia, A. Moreno Galindo, A. Rodr´ıguez Palacios, and E. I. Zel0manov, Jordan polynomials can be analyticallyrecognized, Studia Math. 117 (1996), no. 2, 137–147. MR 1367441 (96k:46087) Antonio Giambruno and Efim Zelmanov, On growth of codimensions of Jordan algebras, Groups, algebras and applications,Contemp. Math., vol. 537, Amer. Math. Soc., Providence, RI, 2011, pp. 205–210. MR 2799101 (2012f:17050) Daniel Goldstein, Robert M. Guralnick, Lance Small, and Efim Zelmanov, Inversion invariant additive subgroups of divisionrings, Pacific J. Math. 227 (2006), no. 2, 287–294. MR 2263018 (2007i:17041) Robert M. Guralnick, Lance W. Small, and Efim Zelmanov, Nil subrings of endomorphism rings of finitely generated modulesover affine PI-rings, J. Algebra 324 (2010), no. 11, 3044–3047. MR 2732987 (2011i:16039) V. G. Kac, C. Martinez, and E. Zelmanov, Graded simple Jordan superalgebras of growth one, Mem. Amer. Math. Soc. 150 (2001), no. 711, x+140. MR 1810856 (2001k:17052) Alexander Lubotzky and Efim Zelmanov, Dimension expanders, J. Algebra 319 (2008), no. 2, 730–738. MR 2381805 (2008k:05098) C. Martinez and E. Zelmanov, Jordan algebras of Gel0 fand-Kirillov dimension one, J. Algebra 180 (1996), no. 1, 211–238. MR 1375577 (96m:17057) , Products of powers in finite simple groups, Israel J. Math. 96 (1996), no. part B, 469–479. MR 1433702 (97k:20050) , Simple finite-dimensional Jordan superalgebras of prime characteristic, J. Algebra 236 (2001), no. 2, 575–629.MR 1813492 (2002e:17042) C. Mart´ınez and E. Zelmanov, Specializations of Jordan superalgebras, RACSAM. Rev. R. Acad. Cienc. Exactas F´ıs. Nat. Ser.A Mat. 95 (2001), no. 1, 1–6. MR 1899347 (2003c:17043) Consuelo Mart´ınez, Ivan Shestakov, and Efim Zelmanov, Jordan superalgebras defined by brackets, J. London Math. Soc. (2)64 (2001), no. 2, 357–368. MR 1853456 (2002g:17045) , Jordan bimodules over the superalgebras P(n) and Q(n), Trans. Amer. Math. Soc. 362 (2010), no. 4, 2037–2051.MR 2574886 (2010k:17046) Consuelo Martinez and E. Zelmanov, Simple and prime graded Jordan algebras, J. Algebra 194 (1997), no. 2, 594–613. MR 1467168 (98h:17035) Consuelo Mart´ınez and Efim Zelmanov, Nil algebras and unipotent groups of finite width, Adv. Math. 147 (1999), no. 2, 328–344. MR 1734527 (2001b:17038) , Specializations of Jordan superalgebras, Canad. Math. Bull. 45 (2002), no. 4, 653–671, Dedicated to Robert V. Moody. MR 1941232 (2003k:17040) , A Kronecker factorization theorem for the exceptional Jordan superalgebra, J. Pure Appl. Algebra 177 (2003), no. 1, 71–78. MR 1948839 (2003k:17041) , Unital bimodules over the simple Jordan superalgebra D(t), Trans. Amer. Math. Soc. 358 (2006), no. 8, 3637–3649 (electronic). MR 2218992 (2007b:17048) , Jordan superalgebras and their representations, Algebras, representations and applications, Contemp. Math., vol. 483, Amer. Math. Soc., Providence, RI, 2009, pp. 179–194. MR 2497959 (2010d:17038) , Representation theory of Jordan superalgebras. I, Trans. Amer. Math. Soc. 362 (2010), no. 2, 815–846. MR 2551507 (2011a:17049) Consuelo Mart´ınez and Efim I. Zelmanov, Lie superalgebras graded by P(n) and Q(n), Proc. Natl. Acad. Sci. USA 100 (2003), 14, 8130–8137 (electronic). MR 1989345 (2005c:17047) F. Montaner, A. Stolin, and E. Zelmanov, Classification of Lie bialgebras over current algebras, Selecta Math. (N.S.) 16 (2010), 4, 935–962. MR 2734334 (2011k:17042) J. Marshall Osborn and Efim Zelmanov, Nonassociative algebras related to Hamiltonian operators in the formal calculus ofvariations, J. Pure Appl. Algebra 101 (1995), no. 3, 335–352. MR 1348574 (96h:17001) Victor M. Petrogradsky, Ivan P. Shestakov, and Efim Zelmanov, Nil graded self-similar algebras, Groups Geom. Dyn. 4 (2010),no. 4, 873–900. MR 2727670 (2011i:17028) M. L. Racine and E. I. Zel0manov, Simple Jordan superalgebras, Non-associative algebra and its applications (Oviedo, 1993),Math. Appl., vol. 303, Kluwer Acad. Publ., Dordrecht, 1994, pp. 344–349. MR 1338205 (96g:17035) , Simple Jordan superalgebras with semisimple even part, J. Algebra 270 (2003), no. 2, 374–444. MR 2019625(2005b:17063) Leonard Scott, Ronald Solomon, John Thompson, John Walter, and Efim Zelmanov, Walter Feit (1930–2004), Notices Amer.Math. Soc. 52 (2005), no. 7, 728–735. MR 2159686 A. Shalev and E. I. Zelmanov, Narrow algebras and groups, J. Math. Sci. (New York) 93 (1999), no. 6, 951–963, Algebra, 11. MR 1698764 (2000i:17008) Aner Shalev and Efim I. Zelmanov, Narrow Lie algebras: a coclass theory and a characterization of the Witt algebra, J. Algebra189 (1997), no. 2, 294–331. MR 1438178 (98d:17032) I. P. Shestakov and E. Zelmanov, Some examples of nil Lie algebras, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 2, 391–398. MR 2390328 (2009c:17031) Lance W. Small and Efim I. Zelmanov, On point modules, Publ. Math. Debrecen 69 (2006), no. 3, 387–390. MR 2273992 (2007g:16032) Michael Vaughan-Lee and E. I. Zelmanov, Upper bounds in the restricted Burnside problem. II, Internat. J. Algebra Comput. 6 (1996), no. 6, 735–744. MR 1421888 (98c:20063) Michael Vaughan-Lee and E. I. Zel0manov, Bounds in the restricted Burnside problem, J. Austral. Math. Soc. Ser. A 67 (1999),no. 2, 261–271, Group theory. MR 1717419 (2000i:20053) E. B. Vinberg, E. S. Golod, E. I. Zel ` 0manov, and et al., Alekse˘ıIvanovich Kostrikin [1929–2000], Uspekhi Mat. Nauk 56(2001), no. 3(339), 143–145. MR 1859725 E. Zel0manov, More on Burnside’s problem, Combinatorial and geometric group theory (Edinburgh, 1993), London Math. Soc.Lecture Note Ser., vol. 204, Cambridge Univ. Press, Cambridge, 1995, pp. 314–321. MR 1320294 (96k:20080) E. Zelmanov, On groups satisfying the Golod-Shafarevich condition, New horizons in pro-p groups, Progr. Math., vol. 184, Birkh¨auser Boston, Boston, MA, 2000, pp. 223–232. MR 1765122 (2002f:20037) , Idempotents in conformal algebras, Proceedings of the Third International Algebra Conference (Tainan, 2002), Kluwer Acad. Publ., Dordrecht, 2003, pp. 257–266. MR 2026582 (2004m:16042) E. I. Zel0manov, Lie ring methods in the theory of nilpotent groups, Groups ’93 Galway/St. Andrews, Vol. 2, London Math. Soc. Lecture Note Ser., vol. 212, Cambridge Univ. Press, Cambridge, 1995, pp. 567–585. MR 1337299 (96i:20048) Efim Zelmanov, On some open problems related to the restricted Burnside problem, Recent progress in algebra (Taejon/Seoul, 1997), Contemp. Math., vol. 224, Amer. Math. Soc., Providence, RI, 1999, pp. 237–243. MR 1654995 (99k:20082) , On the structure of conformal algebras, Combinatorial and computational algebra (Hong Kong, 1999), Contemp. Math., vol. 264, Amer. Math. Soc., Providence, RI, 2000, pp. 139–153. MR 1800693 (2001j:17048) , Infinite algebras and pro-p groups, Infinite groups: geometric, combinatorial and dynamical aspects, Progr. Math., vol. 248, Birkh¨auser, Basel, 2005, pp. 403–413. MR 2195460 (2006k:20053) , Some open problems in the theory of infinite dimensional algebras, J. Korean Math. Soc. 44 (2007), no. 5, 1185–1195. MR 2348741 (2008g:16053) , On Isaiah Kantor (1936–2006), J. Gen. Lie Theory Appl. 2 (2008), no. 3, 111. MR 2434996 Efim I. Zelmanov, On the restricted Burnside problem, Fields Medallists’ lectures, World Sci. Ser. 20th Century Math., vol. 5, World Sci. Publ., River Edge, NJ, 1997, pp. 623–632. MR 1622930 (99d:20061) 新闻动态 更多新闻 世界数学大师、菲尔兹奖获得者Zelmanov（杰曼诺夫）全职加盟深圳国际数学中心 2022-11-16 加入团队 南科大杰曼诺夫数学中心于2019年2月22日正式挂牌成立。杰曼诺夫数学中心是深圳市政府出资、南科大牵头建设的深圳市诺奖实验室，旨在提升和引领深圳市、粤港澳大湾区及中国南方在基础数学、应用数学、计算数学等方面的科学研究。中心将以纯粹数学和应用数学的重要研究领域为发展方向，致力于推动中国数学基础理论以及数学与生命、信息、工程、金融等领域的交叉研究与应用发展，解决重大科学问题，服务国家和地方的重大需求。数学中心根据国际化的要求，按国际标准和规则运行，将营造一流的学术条件和环境，通过专题学术年和研究室创新团队的活动，把中心建设成为世界级的国际化数学研究与交流平台和一流人的才引进和培养平台，打造一支国际领先的研究队伍，全面提升数学研究和教育水平。 我们期待更多的优秀人才加入数学中心。 查看更多 联系我们 联系地址 办公电话 电子邮箱