BIMSA > Fengchun Lei
Professor Fengchun Lei

Group: Algebraic Topology and its Applications

Office: A3-1-203

Email: leifengchun@bimsa.cn

Research Field: Low Dimentional Topology

CV

Biography

Professor Fengchun Lei received his Ph.D. from Jilin University in 1990, once was a professor in Dalian University of Technology, and has joined in BIMSA from March, 2025. His research interests include 3-manifold topology, knot theory and topological data analysis. He ever won the second prize of Science and Technology Progress Award of the State Education Commission, and was selected into the "Cross-Century Excellent Talent Program" of the State Ministry of Education.

Research Interest

  • Low Dimentional Topology/3-Manifold Topology‌
  • Topological Data Analysis

Education Experience

  • 1987 - 1990      Jilin University      Mathematics      Ph.D
  • 1984 - 1987      Siping Normal University      Mathematics      Master
  • 1980 - 1984      Inner Mongolia Normal University for Nationalities      Mathematics      Bachelor

Work Experience

  • 2025 -      BIMSA      Professor
  • 2006 - 2025      Dalian University of Technology      Professor
  • 2000 - 2006      Harbin Institute of Technology      Professor
  • 2000 - 2000      Jilin University      Professor
  • 1996 - 1999      Jilin University      Associate Professor
  • 1991 - 1996      Jilin University      Assistant Professor

Honors and Awards

  • 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

Publication

  • [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

 

Update Time: 2026-03-26 22:53:25