北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
河套数学与交叉学科研究院
BIMSA > 雷逢春

雷逢春

     研究员    
研究员 雷逢春

团队: 代数拓扑及其应用

办公室: A3-1-203

邮箱: leifengchun@bimsa.cn

研究方向: 低维拓扑

CV

个人简介


雷逢春教授1990年毕业于吉林大学,获博士学位,曾任大连理工大学教授,2025年3月加入北京工业大学。他的研究兴趣包括3流形拓扑、结理论和拓扑数据分析。曾获国家教委科技进步二等奖,入选国家教育部“跨世纪优秀人才计划”。

研究兴趣


  • 低维拓扑/三维流形拓扑
  • 拓扑数据分析

教育经历


  • 1987 - 1990      吉林大学      数学      Ph.D
  • 1984 - 1987      四平师范学院      数学      Master
  • 1980 - 1984      内蒙古民族师院      数学      Bachelor

工作经历


  • 2025 -      BIMSA      教授
  • 2006 - 2025      大连理工大学      教授
  • 2000 - 2006      哈尔滨工业大学      教授
  • 2000 - 2000      吉林大学      教授
  • 1996 - 1999      吉林大学      副教授
  • 1991 - 1996      吉林大学      助理教授

荣誉与奖项


  • 2022      三模式三目标的数学与应用数学人才培养体系的构建与实践,辽宁省教学成果一等奖,排名3
  • 2018      基于科教协同的“华罗庚班”创新拔尖人才培养模式的构建和实践,国家教学成果二等奖,排名5
  • 2017      宝钢优秀教师奖
  • 2003      黑龙江省青年科技奖
  • 2002      教育部“跨世纪优秀人才培养计划”
  • 2001      黑龙江省杰出青年科学基金
  • 1997      国家教委科技进步二等奖

出版物


  • [1] Li Shen, Hongsong Feng, Fengling Li, Fengchun Lei, Jie Wu, Guo-Wei Wei, Knot data analysis using multiscale Gauss link integral, Proceedings of the National Academy of Sciences, 121(42), e2408431121 (2024)
  • [2] Yunguang Yue; Xingwu Liu; Jie Wu; Fengchun Lei, A Topological Characterization to Arbitrary Resilient Asynchronous Complexity, Mathematics, 10(2022), 15, 1-20
  • [3] Yue, Y., Lei, F., Liu, X., Wu, J., Asynchronous computability theorem in arbitrary solo models, Mathematics, 8(5), 757 (2020)
  • [4] Yue, Yunguang, Wu, Jie, Lei, Fengchun, The evolution of non-degenerate and degenerate rendezvous tasks, Topology and its Applications, 264, 187-200 (2019)
  • [5] L Liang, F Li, F Lei, J Wu, Local uniqueness of certain geodesics related to Heegaard splittings, Journal of Knot Theory and Its Ramifications, 27(9), 1842003 (2018)
  • [6] Z Li, F Lei, J Li, Virtual braids, virtual Temperley-Lieb algebra and-polynomial, Chinese Annals of Mathematics, Series B, 38(6), 1275-1286 (2017)
  • [7] Zhiguo Li, Fengchun Lei, Jie Wu, On the unknotting number of a welded knot, Journal of Knot Theory and Its Ramifications, 26(01), 1750004 (2017)
  • [8] Zhi-guo Li, Feng-chun Lei, Zhi Chen, Jie Wu, On fundamental group of a certain class of welded knots, Commun. Math. Res., 33(2), 177-184 (2017)
  • [9] Fengchun Lei, Jie Wu, Yu Zhang, On intersecting subgroups of Brunnian link groups, Algebr. Geom. Topol., 16(2), 1043-1061 (2016)
  • [10] Fang, Fuquan, Lei, Fengchun, Wu, Jie, The symmetric commutator homology of link towers and homotopy groups of 3-manifolds, Commun. Math. Stat., 3(4), 497-526 (2015)
  • [11] Lei, Fengchun; Li, Fengling; Wu, Jie, On simplicial resolutions of framed links, Trans. Amer. Math. Soc., 366(2014), 6, 3075-3093
  • [12] Jingyan Li,Fengchun Lei,Jie Wu, Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras, Proceedings of the Edinburgh Mathematical Society, 54(2), 467-504 (2011)
  • [13] Fengchun Lei, Jie Wu, The intersecting kernels of Heegaard splittings, Algebr. Geom. Topol., 11(2), 887-908 (2011)
  • [14] R Song, F Li, J Wu, F Lei, GW Wei, Multi-scale Jones polynomial and persistent Jones polynomial for knot data analysis, AIMS mathematics, 10(1), 1463 (2025)
  • [15] X Zhang, L Ma, Y Gao, Y Zhang, F Li, F Lei, Persistent spectral based machine learning method for autism spectrum disorder classification, Neurocomputing, 130780 (2025)
  • [16] S Ding, X Jin, F Lei, F Li, A Vesnin, Vassiliev invariants for virtual knotoids, arXiv, 2511.20269 (2025)
  • [17] L Ma, F Lei, X Zhang, A Sufficient Condition for the Set of Distance Degenerating Handle Additions to be Bounded, Acta Mathematica Sinica, English Series, 41(11), 2773-2780 (2025)
  • [18] J Yang, F Lei, J Li, J Wu, A" Periodicity" Phenomenon of the Attaching Map of the Suspended Two-Cell Complex, arXiv, 2509.21444 (2025)
  • [19] S Ding, F Lei, W Lin, A Vesnin, Amalgamations along surfaces with boundary in a handlebody, arXiv, 2505.22530 (2025)
  • [20] B Fang, F Lei, L Liang, Sufficient Conditions for Amalgamated 3-Manifolds to be-Irreducible, Chinese Annals of Mathematics, Series B, 45(2), 161-172 (2024)
  • [21] Y Xu, B Fang, F Lei, On H′-splittings of a handlebody, AIMS Mathematics, 9(9), 24385-24393 (2024)
  • [22] X Zhang, Y Gao, Y Zhang, F Li, H Li, F Lei, Identification of autism spectrum disorder using topological data analysis, Journal of Imaging Informatics in Medicine, 37(3), 1023-1037 (2024)
  • [23] W Lin, F Lei, A standard form of incompressible surfaces in 3-dimensional handlebodies, Science China Mathematics, 66(10), 2309-2324 (2023)
  • [24] Y Xu, FC Lei, FL Li, ′-splittings of Seifert Manifolds with Boundary, Acta Mathematica Sinica, English Series, 39(4), 695-706 (2023)
  • [25] X Lin, Y Gao, F Lei, An application of topological data analysis in predicting sumoylation sites, PeerJ, 11, e16204 (2023)
  • [26] M Sun, L Lan, CG Zhu, F Lei, Cubic spline interpolation with optimal end conditions, Journal of Computational and Applied Mathematics, 425, 115039 (2023)
  • [27] Y Gao, Y Xu, F Lei, Persistent hypergraph homology and its applications, arXiv, 2311.15755 (2023)
  • [28] L Ma, L Liang, F Lei, Strongly irreducible self-amalgamation of a handlebody, Acta Mathematica Scientia, 42(6), 2336-2342 (2022)
  • [29] Y Yue, F Lei, F Li, A necessary and sufficient condition for a Heegaard splitting to be keen weakly reducible, Topology and its Applications, 321, 108254 (2022)
  • [30] Y Gao, F Li, L Liang, F Lei, Weakly reducible H′-splittings of 3-manifolds, Journal of Knot Theory and Its Ramifications, 30(10), 2140004 (2021)
  • [31] Y Gao, F Lei, SX Li, Persistent homology and application on residues 1 to 28 of amyloid beta peptide, Proteins: Structure, Function, and Bioinformatics, 89(4), 409-415 (2021)
  • [32] F Lei, H Liu, F Li, A Vesnin, A necessary and sufficient condition for a surface sum of two handlebodies to be a handlebody, Science China Mathematics, 63(10), 1997-2004 (2020)
  • [33] F Li, D Wang, L Liang, F Lei, An equivalent description of the lens space $L(p,q)$ with $p$ prime, Journal of Knot Theory and Its Ramifications, 29(10), 2042005 (2020)
  • [34] L Liang, F Li, F Lei, Unstabilized and uncritical self-amalgamation along essential subsurfaces, Science China Mathematics, 62(9), 1807-1812 (2019)
  • [35] Y Zhao, L Wang, F Lei, Shadowing property and topological ergodicity for iterated function systems, Modern Physics Letters B, 33(23), 1950272 (2019)
  • [36] M Li, F Lei, F Li, AY Vesnin, Density of roots of the Yamada polynomial of spatial graphs, Proceedings of the Steklov Institute of Mathematics, 305(1), 135-148 (2019)
  • [37] F Lei, H Liu, F Li, A Vesnin, A characteristics for a surface sum of two handlebodies along an annulus or a once-punctured torus to be a handlebody, arXiv, 1908.10113 (2019)
  • [38] N Li, L Wang, F Lei, A Note on Specification Property of Dynamical Systems, Mathematics Letters, 4(2), 34-38 (2018)
  • [39] M Li, F Li, F Lei, Crosscap numbers of a family of Montesinos knots, Journal of Knot Theory and Its Ramifications, 27(13), 1842007 (2018)
  • [40] Y Zhao, L Wang, F Lei, Inducing sensitivity of fuzzified dynamical systems, International Journal of Bifurcation and Chaos, 28(10), 1850130 (2018)
  • [41] M Li, F Lei, F Li, A Vesnin, The Yamada polynomial of spatial graphs obtained by edge replacements, Journal of Knot Theory and Its Ramifications, 27(09), 1842004 (2018)
  • [42] N Li, L Wang, F Lei, Sensitivity and specification property of fuzzified dynamical systems, Modern Physics Letters B, 32(23), 1850268 (2018)
  • [43] L Liang, F Li, F Lei, On weakly keen Heegaard splittings with distance 2, Topology and its Applications, 237, 1-6 (2018)
  • [44] F Lei, K Zhang, Lower bounds for the number of positive and negative crossings in oriented link diagrams, Bulletin of the Korean Mathematical Society, 54(6), 2149-2154 (2017)
  • [45] Y Zhao, F Lei, F Li, On 3-submanifolds ofwhich admit complete spanning curve systems, Chinese Annals of Mathematics, Series B, 38(6), 1373-1380 (2017)
  • [46] L Wang, N Li, F Lei, Z Chu, Topological Entropy and Mixing Invariant Extremal Distributional Chaos, International Journal of Bifurcation and Chaos, 27(09), 1750139 (2017)
  • [47] F Lei, M Zhang, A recursive formula for the Khovanov cohomology of Kanenobu knots, Bulletin of the Korean Mathematical Society, 54(1), 1-15 (2017)
  • [48] K Zhang, Z Yang, F Lei, The $H(n)$ -Gordian complex of knots, Journal of Knot Theory and Its Ramifications, 26(13), 1750088 (2017)
  • [49] F Li, J Wu, F Lei, 3-Manifold invariants derived from the intersecting kernels, International Journal of Mathematics, 27(13), 104-113 (2017)
  • [50] Y Zhao, F Lei, F Li, On∂-Reducible 3-Manifolds Which Admit Complete Surface Systems, Communications in Mathematical Research, 33(3), 215-222 (2017)
  • [51] ML Zhang, FC Lei, A Khovanov type link homology with geometric interpretation, Acta Mathematica Sinica, English Series, 32(4), 393-405 (2016)
  • [52] L Liang, F Lei, F Li, Unstabilized Self-amalgamation of a Heegaard Splitting along Disks, Communications in Mathematical Research, 32(2), 117-121 (2016)
  • [53] M Zhang, F Lei, F Li, D Wang, A Formula for Khovanov Type Link Homology of Pretzel Knots, Communications in Mathematical Research, 32(3), 198-206 (2016)
  • [54] L Wang, X Wang, F Lei, H Liu, Mixing invariant extremal distributional chaos, Discrete and Continuous Dynamical Systems, 36(11), 6533-6538 (2016)
  • [55] L Liang, F Lei, F Li, Distance degenerating handle additions, Proceedings of the American Mathematical Society, 144(1), 423-434 (2016)
  • [56] L Wang, X Wang, F Lei, H Liu, Asymptotic average shadowing property, almost specification property and distributional chaos, Modern Physics Letters B, 30(03), 1650001 (2016)
  • [57] F Li, F Lei, G Yang, Some sufficient conditions for Heegaard genera to be additive under annulus sum, Mathematica scandinavica, 173-188 (2014)
  • [58] H Wang, F Lei, L Wang, Dense invariant open distributionally scrambled sets and closed distributionally scrambled sets, Topology and its Applications, 165, 110-120 (2014)
  • [59] FC Lei, Topologically minimal surfaces versus self-amalgamated Heegaard surfaces, Science China Mathematics, 57(11), 2393-2398 (2014)
  • [60] L Liang, F Lei, F Li, A sufficient condition for a self-amalgamation of a Heegaard splitting to be unstabilized, Topology and its Applications, 178, 345-351 (2014)
  • [61] DQ Sun, FC Lei, FL Li, Connectedness of curve complex of surface, Science China Mathematics, 57(4), 847-854 (2014)
  • [62] DQ Sun, FC Lei, FL Li, On reducible Heegaard splittings, Science China Mathematics, 56(2), 221-226 (2013)
  • [63] F Lei, F Li, A proof of Lickorish and Wallace's theorem, arXiv, 1306.1376 (2013)
  • [64] F Lei, Critical Heegaard surfaces obtained by self-amalgamation, arXiv, 1301.5372 (2013)
  • [65] E Qiang, F Lei, F Li, An alternative proof of Lickorish–Wallace theorem, Topology and its Applications, 160(13), 1611-1615 (2013)
  • [66] G Yang, X Yin, F Lei, Tunnel number one knots, 𝑚-small knots and the Morimoto conjecture, Proceedings of the American Mathematical Society, 141(12), 4391-4399 (2013)
  • [67] H Liu, F Lei, L Wang, Li‐Yorke Sensitivity of Set‐Valued Discrete Systems, Journal of Applied Mathematics, 2013(1), 260856 (2013)
  • [68] Y Li, J Qin, F Lei, X Wang, X Zhang, Triangle-Y exchanges on intrinsic knotting of almost complete and complete partite graphs, Journal of Knot Theory and Its Ramifications, 21(04), 1250034 (2012)
  • [69] X Li, F Lei, Detection of maximal collections of essential annuli in a handlebody, Journal of Knot Theory and Its Ramifications, 20(12), 1709-1721 (2011)
  • [70] GQ Yang, FC Lei, Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down, Acta Mathematica Sinica, English Series, 27(11), 2229-2244 (2011)
  • [71] F Li, F Lei, A lower bound for the genus of self-amalgamation of Heegaard splittings, Bulletin of the Korean Mathematical Society, 48(1), 67-77 (2011)
  • [72] X Li, F Lei, A Lower Bound of the Genus of a Self-amalgamated 3-manifolds, Communications in Mathematical Research, 27(1), 47-52 (2011)
  • [73] F Li, G Yang, F Lei, Heegaard genera of high distance are additive under annulus sum, Topology and its Applications, 157(7), 1188-1194 (2010)
  • [74] F Li, F Lei, A Sufficient Condition for the Genus of an Annulus Sum of Two 3-manifolds to Be Non-degenerate, Communications in Mathematical Research, 26(1), 85-96 (2010)
  • [75] FL Li, GQ Yang, FC Lei, A sufficient condition for the genus of an amalgamated 3-manifold not to go down, Science China Mathematics, 53(7), 1697-1702 (2010)
  • [76] X Yin, J Tang, F Lei, On maximal collections of essential annuli in a handlebody II, Journal of Knot Theory and Its Ramifications, 18(02), 199-208 (2009)
  • [77] G Yang, F Lei, On amalgamations of Heegaard splittings with high distance, Proceedings of the American Mathematical Society, 137(2), 723-731 (2009)
  • [78] F Lei, G Yang, A lower bound of genus of amalgamations of Heegaard splittings, Mathematical Proceedings of the Cambridge Philosophical Society, 146(3), 615-623 (2009)
  • [79] G Yang, F Lei, Amalgamations of Heegaard splittings in 3–manifolds without some essential surfaces, Algebraic & Geometric Topology, 9(4), 2041-2054 (2009)
  • [80] W Song, G Yang, F Lei, On series-like iterative equation with a general boundary restriction, Fixed Point Theory and Applications, 2009(1), 892691 (2009)
  • [81] R Qiu, F Lei, On the Heegaard genera of 3-manifolds containing non-separating surfaces, Topology and physics, 341-347 (2008)
  • [82] F Lei, K Taniyama, G Zhang, 2-irreducibility of spatial graphs, Journal of Knot Theory and Its Ramifications, 15(01), 31-41 (2006)
  • [83] F Lei, J Tang, On maximal collections of essential annuli in a handlebody, Journal of Knot Theory and Its Ramifications, 15(10), 1363-1369 (2006)
  • [84] FC Lei, Y Li, SD–splittings for Some Bordered 3–Manifolds, Acta Mathematica Sinica, 22(5), 1481-1484 (2006)
  • [85] F Lei, X Guo, 2-Compressible non-Heegaard surfaces in small 3-manifolds, Science in China Series A: Mathematics, 48(11), 1499-1504 (2005)
  • [86] F Lei, Haken spheres in the connected sum of two lens spaces, Mathematical Proceedings of the Cambridge Philosophical Society, 138(1), 97-105 (2005)
  • [87] F Lei, Y Zhang, Haken spheres in genus 2 Heegaard splittings of nonprime 3-manifolds, Topology and its Applications, 142(1-3), 101-111 (2004)
  • [88] F Lei, Reducing weak H-systems, Topology and its Applications, 114(1), 61-66 (2001)
  • [89] F LEI, J XIE, Band Sum of Two Handlebodies: An Application, Chinese Quarterly Journal of Mathematics, 15(1), 88 (2000)
  • [90] F LEI, F LEI, On stability of Heegaard splittings Work supported in part by NSF of China and Morningside Centre of Mathematics, Chinese Academy of Sciences., Cambridge University Press (2000)
  • [91] F Lei, On stability of Heegaard splittings, Mathematical Proceedings of the Cambridge Philosophical Society, 129(1), 55-57 (2000)
  • [92] F Lei, Complete systems of surfaces in 3-manifolds, Mathematical Proceedings of the Cambridge Philosophical Society, 122(1), 185-191 (1997)
  • [93] F Lei, A general handle addition theorem, Mathematische Zeitschrift, 221(1), 211-216 (1996)
  • [94] F Lei, A proof of Przytycki's conjecture on n-relator 3-manifolds, Topology, 34(2), 473-476 (1995)
  • [95] F Lei, Reducibility and nonbinding, Topology and its Applications, 67(1), 63-69 (1995)
  • [96] K Du, F Lei, J Ma, Distance and self-amalgamation of Heegaard splittings, preprint

 

更新时间: 2026-03-31 18:00:10


北京雁栖湖应用数学研究院
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