个人简介

Lynn Heller于2003-2008年在柏林工业大学学习经济学和在柏林工业大学学习数学，并于2012年在图宾根埃伯哈德卡尔斯大学获得博士学位。此后，她留在图宾根做博士后，直到2017年在汉诺威莱布尼茨大学获得初级教授职位。其在微分几何上有近 10 年的研究科研经历，特别是三维情况下的 constantmean-curvature (CMC)曲面和 constrained Willmore 曲面的微分几何问题，涵盖几何分析，可积系统，李代数，代数几何等多个领域。在国际重要期刊上发表论文 20 余篇，引用 100 余次，H 指数 6。在国际会议上受邀参与报告 20 余次。




团队

分析与几何




研究兴趣

我的研究目标是通过结合几何分析、可积系统（例如 Hitchin 系统）以及代数几何（例如 Higgs 丛与模空间）的方法，来解答在研究极小曲面、常平均曲率曲面以及（受约束的）Willmore 曲面（在三维空间型中）时所出现的微分几何问题。最近，我们在计算中意外发现了一种与数论的深刻联系：交错多重 zeta 值（alternating multiple zeta values）自然地出现在我们的结果中。




教育经历


  • 2020 - -- | 汉诺威大学 | Positive      interims evaluation of the Juniorprofessorship, equivalent to the German      Habilitation.

  • 2009 - 2012 | 蒂宾根大学 | 数学 | 博士

  • 2003 - 2008 | 柏林工业大学 | 数学 | 硕士

  • 2003 - 2007 | 柏林自由大学 | 工商管理 | 硕士






工作经历


  • 2022 - -- | 北京雁栖湖应用数学研究院 | 研究员

  • 2017 - 2022 | 汉诺威大学 | 青年教授

  • 2014 - 2017 | 蒂宾根大学 | Margarete      von Wrangell fellow

  • 2013 - 2014 | 蒂宾根大学 | 博士后

  • 2007 - 2012 | 蒂宾根大学 | 助教





出版物Publication


  • [1] Lynn Heller, Sebastian Heller, Martin Traizet, Area      estimates of high genus Lawson surfaces via DPW, Journal of Differential      Geometry, 124(2023), 1, 1-35

  • [2] L. Heller, S. Heller, M. Traizet, Loop group methods for      the non-abelian Hodge correspondence on a 4-punctured sphere,      Mathematische Annalen, 84 pages (2025)

  • [3] Lynn Heller, Sebastian Heller, Martin Traizet, Application      of Chern-Simons gauge theory to the enclosed volume of constant mean      curvature surfaces in the 3-sphere (2025)

  • [4] I. Biswas, S. Dumitrescu, L. Heller, S. Heller, Holomorphic      systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki),      Annales Henri Lebesgue, 8, 589-634 (2025)

  • [5] S. Charlton, L. Heller, S. Heller, M. Traizet, Minimal      surfaces and alternating multiple zetas, arxiv:2407.07130 (2024)

  • [6] Indranil Biswas, Sorin Dumitrescu, Lynn Heller, Sebastian      Heller, João Pedro dos Santos, On the monodromy of holomorphic      differential systems, Int. Jour. Math. 35 no. 9, special volume in honor      of Oscar Garcia-Prada 60th birthday (2024)

  • [7] Lynn Heller, Sebastian Heller, Fuchsian DPW potentials for      Lawson surfaces, Geometriae Dedicata, 217(6), 101 (2023)

  • [8] I. Biswas, L. Heller, S. Heller, Holomorphic Higgs bundles      over the Teichmüller space, arXiv:2308.13860 (2023)

  • [9] I Biswas, L Heller, S Heller, Holomorphic Higgs bundles      over the Teichm" uller space, arXiv (2023)

  • [10] I. Biswas, S. Dumitrescu, L. Heller, S. Heller, On the      existence of holomorphic curves in compact quotients of SL(2, C),      arXiv:2112.03131 (2021)

  • [11] L Heller, S Heller, M Traizet, Complete families of      embedded high genus CMC surfaces in the 3-sphere (with an appendix by      Steven Charlton), arXiv preprint arXiv:2108.10214 (2021)

  • [12] L. Heller, C. B. Ndiaye, First explicit constrained      Willmore minimizers of nonrectangular conformal class, Adv. Math.,      386(paper no. 107804), 47 Pages (2021)

  • [13] Heller Lynn , Ndiaye Cheikh Birahim, Candidates for      non-rectangular constrained {W}illmore minimizers, J. Geom. Phys., 165,      Paper No. 104221, 23 (2021)

  • [14] Heller Lynn, Generalized {W}hitham flow and its      applications, Minimal Surfaces: Integrable Systems and Visualisation, 349,      131--146 (2021)

  • [15] Heller Lynn , Heller Sebastian , Ndiaye Cheikh Birahim,      Isothermic constrained {W}illmore tori in 3-space, Ann. Global Anal.      Geom., 60(2), 231--251 (2021)

  • [16] Heller Lynn , Heller Sebastian , Ndiaye Cheikh Birahim,      Stability properties of 2-lobed {D}elaunay tori in the 3-sphere,      Differential Geom. Appl., 79, Paper No. 101805, 14 (2021)

  • [17] L. Heller, S. Heller, Ch. B. Ndiaye, Stability properties      of 2-lobed Delaunay tori in the 3-sphere, Differential Geometry and its      Applications, 79 (2021)

  • [18] I Biswas, S Dumitrescu, L Heller, S Heller,      Holomorphic 𝔰𝔩⁡(2,ℂ) -systems with Fuchsian monodromy (with an appendix by Takuro      Mochizuki), arXiv (2021)

  • [19] L Heller, S Heller, CB Ndiaye, Isothermic constrained      Willmore tori in 3-space, Annals of Global Analysis and Geometry, 60(2),      231-251 (2021)

  • [20] I Biswas, S Dumitrescu, L Heller, S Heller, On the      existence of holomorphic curves in compact quotients ofSL⁡(2,ℂ), arXiv (2021)

  • [21] L Heller, CB Ndiaye, First explicit constrained Willmore      minimizers of non-rectangular conformal class, Advances in Mathematics,      386, 107804 (2021)

  • [22] L Heller, CB Ndiaye, Candidates for non-rectangular      constrained Willmore minimizers, Journal of Geometry and Physics, 165,      104221 (2021)

  • [23] L Heller, Generalized Whitham Flow and Its, Minimal      Surfaces: Integrable Systems and Visualisation (2021)

  • [24] Heller Lynn , Heller Sebastian, Higher solutions of      {H}itchin's self-duality equations, J. Integrable Syst., 5(1), xyaa006, 48      (2020)

  • [25] L Heller, S Heller, Higher solutions of Hitchin’s      self-duality equations, Journal of Integrable Systems, 5(1), xyaa006      (2020)

  • [26] L Heller, CB Ndiaye, First Explicit Constrained Willmore      Minimizers of Non-Rectangular Conformal Class.(2019), arXiv (2019)

  • [27] L Heller, S Heller, M Traizet, Area Estimates for High      genus Lawson surfaces via DPW, Journal of Differential Geometry (2019)

  • [28] Heller Lynn , Heller Sebastian , Schmitt Nicholas,      Navigating the space of symmetric {CMC} surfaces, J. Differential Geom.,      110(3), 413--455 (2018)

  • [29] L. Heller, S. Heller, N. Schmitt, Navigating the Space of      Symmetric CMC Surfaces, Journal of Differential Geometry, 110(3), 413-455      (2018)

  • [30] L. Heller, F. Pedit, Towards a constrained Willmore      conjecture. Willmore energy and Willmore conjecture, Monogr. Res. Notes      Math.(pp 119–138) (2018)

  • [31] L. Heller, Dirac tori, Differential Geometry and its      Applications, 54, 122-128 (2017)

  • [32] L Heller, Generalized Whitham Flow and Its Applications,      Minimal Surfaces: Integrable Systems and Visualisation, 131-146 (2017)

  • [33] L Heller, S Heller, Abelianization of Fuchsian systems on      a 4-punctured sphere and applications, Journal of Symplectic Geometry,      14(4), 1059-1088 (2017)

  • [34] L Heller, F Pedit, Towards a constrained Willmore      conjecture, Willmore Energy and Willmore Conjecture, 119-138 (2017)

  • [35] Heller Lynn , Heller Sebastian, Abelianization of      {F}uchsian systems on a 4-punctured sphere and applications, J. Symplectic      Geom., 14(4), 1059--1088 (2016)

  • [36] L Heller, S Heller, N Schmitt, Exploring the space of      compact symmetric CMC surfaces, arXiv preprint arXiv:1503.07838 (2015)

  • [37] Heller Lynn, Constrained {W}illmore and {CMC} tori in the      3-sphere, Differential Geom. Appl., 40, 232--242 (2015)

  • [38] Heller Lynn , Heller Sebastian , Schmitt Nicholas, The      spectral curve theory for {(𝑘,𝑙)}-symmetric      {CMC} surfaces, J. Geom. Phys., 98, 201--213 (2015)

  • [39] L Heller, Constrained Willmore and CMC tori in the      3-sphere, Differential Geometry and its Applications, 40, 232-242 (2015)

  • [40] L Heller, S Heller, N Schmitt, The spectral curve theory      for (k, l)-symmetric CMC surfaces, Journal of Geometry and Physics, 98,      201-213 (2015)

  • [41] Equivariant constrained Willmore tori in the 3-sphere,      Mathematische Zeitschrift, 278(3), 955-977 (2014)

  • [42] L. Heller, Constrained Willmore tori and elastic curves in      2-dimensional space forms, Communications in Analysis and Geometry 22 (2),      343 – 369, 22, 343–369 (2014)

  • [43] L. Heller, Constrained Willmore Hopf tori,      Report/Mathematisches Forschungsinstitut Oberwolfach, 21 (2013)

  • [44] L. Heller, Equivariant Constrained Willmore Tori in S3,      PhD Thesis (2012)

  • [45] L Heller, Equivariant Constrained Willmore Tori in S 3,      Eberhard Karls Universität Tübingen (2012)

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