Sebastian Heller
Professor
Group: Analysis and Geometry
Office: A3-4-206
Email: sheller@bimsa.cn
Research Field: Differential Geometry
Webpage: http://geometriewerkstatt.com/SebastianHeller.html
Biography
PhD in 2008, Humboldt Universität Berlin, Germany. Habilitation in 2014, Universität Tübingen, Germany. Professor at Beijing Institute of Mathematical Sciences and Applications since 2022. Research interests: minimal surfaces, harmonic maps, Riemann surfaces, Higgs bundles, moduli spaces, visualisation and experimental mathematics.
Research Interest
- Integrable systems
- Higgs bundles and Hitchin systems
- Geometric and analytic aspects of moduli spaces
- Harmonic maps, minimal and CMC surfaces
Education Experience
- 2014 - Eberhard Karls University Tübingen Habilitation
- 2005 - 2008 Humboldt Universität zu Berlin Mathematics Ph.D
- 2000 - 2004 Technische Universität Berlin Mathematics Diploma
Work Experience
- 2020 - 2022 Leibniz University Hannover Researcher
- 2022 - BIMSA Professor
- 2020 - 2020 University of Heidelberg Substitute Professor
- 2017 - 2019 University of Hamburg Researcher
- 2007 - 2017 Eberhard Karls University Tübingen Researcher
Publication
- [1] 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)
- [2] 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)
- [3] A. I. Bobenko, S.Heller, N. Schmitt, Minimal reflection surfaces in S3. Curvature line Foliations and new examples based on fundamental pentagons, Journal of Geometry and Physics, 209 (2025)
- [4] S. Charlton, L. Heller, S. Heller, M. Traizet, Minimal surfaces and alternating multiple zetas, arxiv:2407.07130 (2024)
- [5] 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)
- [6] NT Carruth, S Heller, In conversation with Maxim Kontsevich, Notices of the International Consortium of Chinese Mathematicians, 11(1), 64-76 (2023)
- [7] I Biswas, S Dumitrescu, S Heller, Branched SL(, ℂ)-Opers, International Mathematics Research Notices, 2023(10), 8311-8355 (2023)
- [8] S Heller, Real projective structures on Riemann surfaces and new hyper-K\" ahler manifolds, Manuscripta Math., 171(2023), No. 1-2, 241-262, 171(1-2) (2023)
- [9] I Biswas, S Heller, LP Schaposnik, Real Slices of${\rm SL}(r,\mathbb {C}) $-Opers, SIGMA, 19 (2023)
- [10] I Biswas, JP dos Santos, S Dumitrescu, S Heller, On certain Tannakian categories of integrable connections over Kähler manifolds, Canadian Journal of Mathematics, 74(4), 1034-1061 (2022)
- [11] I Biswas, S Dumitrescu, S Heller, C Pauly, Infinitesimal deformations of parabolic connections and parabolic opers, arXiv preprint arXiv:2202.09125 (2022)
- [12] 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)
- [13] 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)
- [14] F Beck, I Biswas, S Heller, M Röser, Geometry of the space of sections of twistor spaces with circle action, arXiv preprint arXiv:2102.10853 (2021)
- [15] I Biswas, S Dumitrescu, S Heller, Irreducible flat SL (2, R)-connections on the trivial holomorphic bundle, J. Math. Pures Appl, 149, 28-46 (2021)
- [16] AI Bobenko, S Heller, N Schmitt, Constant mean curvature surfaces based on fundamental quadrilaterals, Math. Physics, Analysis and Geometry, 24(4), 46 (2021)
- [17] I Biswas, S Bradlow, S Dumitrescu, S Heller, Uniformization of branched surfaces and Higgs bundles, Int. J. of Mathematics, 32(13) (2021)
- [18] AI Bobenko, S Heller, N Schmitt, Minimal-noids in hyperbolic and anti-de Sitter 3-space, Proceedings of the Royal Society A, 475(2227), 20190173 (2019)
- [19] I Biswas, S Heller, M Röser, Real holomorphic sections of the Deligne–Hitchin twistor space, Communications in Mathematical Physics, 366(3), 1099-1133 (2019)
- [20] L Heller, S Heller, C Birahim Ndiaye, Rectangular constrained Willmore minimizers and the Willmore conjecture, arXiv e-prints, arXiv: 1901.05664, 2019, arXiv: 1901.05664 (2019)
- [21] I Biswas, S Heller, On the automorphisms of a rank one Deligne-Hitchin moduli space, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 13, 072 (2017)
- [22] L Heller, S Heller, N Schmitt, Exploring the space of compact symmetric CMC surfaces, arXiv preprint arXiv:1503.07838 (2015)
- [23] S Heller, Lawson’s genus two surface and meromorphic connections, Mathematische Zeitschrift, 274(3), 745-760 (2013)
- [24] S Heller, Higher genus minimal surfaces in$ S^ 3$and stable bundles, J. Reine Angew. Math. (Crelle's Journal), 685, 105-122 (2013)
- [25] S Heller, Harmonic morphisms on conformally flat 3‐spheres, Bulletin of the London Mathematical Society, 43(1), 137-150 (2011)
- [26] P Baird, F Helein, J Kouneiher, V Roubtsov, P Antunes, B Banos et al., Integrable systems and quantum field theory. Works in progress Nr 75; Systemes integrables et Theorie quantique des champs. Travaux en cours No. 75, (2009)
- [27] A Gerding, S Heller, F Pedit, N Schmitt, Global aspects of integrable surface geometry, Proceedings of Integrable Systems and Quantum Field Theory at Peyresq, Fifth (2008)
- [28] SG Heller, Conformal Submersions of S 3, Humboldt-Universität zu Berlin (2008)
- [29] I Biswas, S Dumitrescu, L Heller, S Heller, On the existence of holomorphic curves in compact quotients of$\mathrm{SL}(2,\mathbb C)$, arXiv (2021)
- [30] S Heller, Higher genus minimal surfaces in and stable bundles, J. Reine Angew. Math. (Crelle's Journal), 685, DOI: 10.1515/crelle-2012-0011 ... (2013)
- [31] F Besau, EM Werner, MF Bourque, K Rafi, L Heller, S Heller, N Schmitt et al., INDEX for Volume 110,
- [32] L. Heller, S. Heller, N. Schmitt, Exploring the Space of Compact Symmetric CMC Surfaces, preprint: arXiv:1503.07838
- [33] F. Beck, I. Biswas, S. Heller, M. Röser. Geometry of the space of sections of twistor spaces with circle action, preprint: arXiv:2102.10853
- [34] L. Heller, S. Heller, M. Traizet. Complete families of embedded high genus CMC surfaces in the 3-sphere, preprint: arXiv:2108.10214
- [35] I. Biswas, S. Dumitrescu, S. Heller., Ch. Pauly Infinitesimal deformations of parabolic connections and parabolic opers, preprint: arXiv:2202.09125
- [36] S. Heller, Harmonic morphisms on conformally flat 3-spheres, Bull. Lond. Math. Soc., 43(1), 137-150 (2011)
- [37] S. Heller, Conformal fibrations of S3 by circles, Contemp. Math., 542, 195-202 (2011)
- [38] S. Heller , Lawson's genus two minimal surface and meromorphic connections, Math. Z., 274, 745-760 (2013)
- [39] S. Heller, Higher genus minimal surfaces in S3 and stable bundles, J. Reine Angew. Math. (Crelle), 685, 105-122 (2013)
- [40] S. Heller, A spectral curve approach to Lawson symmetric CMC surfaces of genus 2, Mathematische Annalen, 360(3), 607-652 (2014)
- [41] S. Heller, N. Schmitt, Deformations of symmetric CMC surfaces in the 3-sphere, Experimental Mathematics, 24(1), 65-75 (2015)
- [42] S. Heller, Conformally flat circle bundles over surfaces, Diff. Geom. Appl., 40, 103-110 (2015)
- [43] L. Heller, S. Heller, N. Schmitt, Spectral curve theory for (k, l)-Symmetric CMC Surfaces of Higher Genus, J. Geom. Phy., 98, 201-213 (2015)
- [44] S. Heller, The asymptotic behavior of the monodromy representation of the associated family of a compact CMC surface, Bull. Lond. Math. Soc. , 48(5), 729-734 (2016)
- [45] I. Biswas, S. Heller, Automorphisms of a rank one Deligne-Hitchin moduli space, SIGMA, 13, 19 pages (2017)
- [46] S. Heller, L. Schaposnik, Branes through finite group actions, J. Geom. Phys., 129, 279-293 (2018)
- [47] L. Heller, S. Heller, N. Schmitt, Navigating the Space of Symmetric CMC Surfaces, Journal of Differential Geometry, 110(3), 413-455 (2018)
- [48] I. Biswas, S. Heller, M. Röser, Real Holomorphic Sections of the Deligne-Hitchin Twistor space, Comm. Math. Phys., 366(3), 1099-1133 (2019)
- [49] A. I. Bobenko, S. Heller, N. Schmitt, Minimal n-noids in hyperbolic and deSitter 3-space, Proceedings of the Royal Society A, 475, 2227
- [50] L. Heller, S. Heller, Higher solutions of Hitchin's self-duality equations, Journal of Integrable Systems, 5(1), xyaa006 (2020)
- [51] I. Biswas, S. Dumitrescu, S. Heller., Irreducible flat SL(2,R)-connections on the trivial holomorphic bundle, J. Math. Pures Appl, 149, 28-46 (2021)
- [52] F. Beck, S. Heller, M. Röser, Energy of sections of the Deligne-Hitchin twistor space, Math. Annalen, 380 no. 3-4, 1169-1214 (2021)
- [53] I. Biswas, S. Heller, L. Schaposnik, Branes and moduli spaces of Higgs bundles on smooth projective varieties, Research in the Mathematical Sciences, 8(3) (2021)
- [54] A. Bobenko, S. Heller, N. Schmitt, Constant mean curvature surfaces based on fundamental quadrilaterals, Math. Physics, Analysis and Geometry, 24(no. 4), 46 pages (2021)
- [55] I. Biswas, S. Bradlow, S. Dumitrescu, S. Heller, Uniformization of branched surfaces and Higgs bundles, Int. J. of Mathematics, 32(no. 13) (2021)
- [56] I. Biswas, S. Dumitrescu, S. Heller, J. Dos Santos , On certain Tannakian categories of integrable connections over Kaehler manifolds, Canadian Journal of Mathematics, 74(4), 1034-1061 (2022)
- [57] M. Aprodu, I. Biswas, S. Dumitrescu, S. Heller, On the monodromy map for the logarithmic differential systems, Int. Jour. Math., 35(9), 543-568 (2024)
- [58] I. Biswas, N. Borne, S. Dumitrescu, S. Heller., Parabolic opers and differential operators, Journal of Geometry and Physics, 187, 104791 (2023)
- [59] S. Heller, Real projective structures on Riemann surfaces and new hyper-Kähler manifolds, Manuscripta Math., 171(2023), No. 1-2, 241-262
- [60] I. Biswas, S. Dumitrescu, S. Heller, Branched SL(r,C)-opers, International Mathematics Research Notices, Vol. 2023 (2023), 10, 8311-8355
- [61] Lynn Heller, Sebastian Heller, Martin Traizet, Area estimates of high genus Lawson surfaces via DPW, Journal of Differential Geometry, 124(2023), 1, 1-35
- [62] Lynn Heller, Sebastian Heller, Fuchsian DPW potentials for Lawson surfaces, Geometriae Dedicata, 217(6), 101 (2023)
- [63] I. Biswas, S. Heller, L. Schaposnik, Real slices of SL(r,C)-opers, SIGMA, 19 (2023), 067(2023)
- [64] S. Heller, Willmore spheres in the 3-sphere revisited, Comm. Anal. Geom., 31(4), 793-798 (2023)
- [65] S. Heller, F. Pedit, Ch. Ouyang, Higgs bundles and SYZ geometry, Journal of Differential Geometry, 128(2), 773-814 (2024)
- [66] I. Biswas, S. Dumitrescu, L. Heller, S. Heller, Holomorphic systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki), accepted by Annales Henri Lebesgue (2021)
- [67] I. Biswas, L. Heller, S. Heller, Holomorphic Higgs bundles over the Teichmüller space, arXiv:2308.13860 (2023)
Update Time: 2025-07-21 17:00:06