Biography
Lynn Heller studied economics at the FU Berlin and Mathematics at TU Berlin from 2003-2007 and obtained her PhD in mathematics from Eberhard Karls University Tübingen in 2012. Before joining BIMSA she was juniorprofessor at Leibniz University in Hannover.
For the period 2025-2028 Lynn Heller is serving as a member of the Committee on Electronic Information and Communication (CEIC) of the International Mathematical Union (IMU).
Group
Analysis and Geometry
Research Interest
I aim at answering differential geometric questions arising in the study of minimal and constant mean curvature surfaces as well as (constrained) Willmore surfaces (in 3−dimensional space forms) by combining techniques from geometric analysis, integrable systems (e.g., Hitchin system) and algebraic geometry (e.g.,Higgs bundles and moduli spaces). Recently, we discovered a surprising connection to number theory, when alternating multiple zeta values naturally appeared in our computations.
Education Experience
2020 - -- | Leibniz Universität Hannover | Positive interims evaluation of the Juniorprofessorship, equivalent to the German Habilitation.
2009 - 2012 | Eberhard Karls University Tübingen | Mathematics | Doctor
2003 - 2008 | Technische Universität Berlin | Mathematics | Master
2003 - 2007 | Freie Universität Berlin | Business Administration | Master
Work Experience
2022 - -- | BIMSA | Professor
2017 - 2022 | Leibniz Universität Hannover | Juniorprofessor
2014 - 2017 | Eberhard Karls University Tübingen | Margarete von Wrangell fellow
2013 - 2014 | Eberhard Karls University Tübingen | Postdoc
2007 - 2012 | Eberhard Karls University Tübingen | Teaching assistant
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)