Sebastian Heller
ProfessorGroup: 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] S. Heller, F. Pedit, Ch. Ouyang, Higgs bundles and SYZ geometry, Journal of Differential Geometry, 128(2), 773-814 (2024)
- [2] S. Charlton, L. Heller, S. Heller, M. Traizet, Minimal surfaces and alternating multiple zetas, arxiv:2407.07130 (2024)
- [3] A. I. Bobenko, S.Heller, N. Schmitt, Minimal reflection surfaces in S3. Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons, arXiv:2406.12183 (2024)
- [4] I. Biswas, S. Heller, L. Schaposnik, Real slices of SL(r,C)-opers, SIGMA, 19 (2023), 067(2023)
- [5] S. Heller, Willmore spheres in the 3-sphere revisited, Communications in Analysis and Geometry, 31(4), 793-798 (2023)
- [6] Lynn Heller, Sebastian Heller, Martin Traizet, On the enclosed volume for CMC surfaces in the 3-sphere and euclidean 3-space (2023)
- [7] Lynn Heller, Sebastian Heller, Martin Traizet, Area estimates of high genus Lawson surfaces via DPW, Journal of Differential Geometry, 124(2023), 1, 1-35
- [8] I. Biswas, L. Heller, S. Heller, Holomorphic Higgs bundles over the Teichmüller space, arXiv:2308.13860(2023)
- [9] 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 (2023)
- [10] Lynn Heller, Sebastian Heller, Fuchsian DPW potentials for Lawson surfaces, Geometriae Dedicata, 217(2023), 6, 0
- [11] S. Heller, Real projective structures on Riemann surfaces and new hyper-Kähler manifolds, Manuscripta Math., 171(2023), No. 1-2, 241-262
- [12] I. Biswas, S. Dumitrescu, S. Heller, Branched SL(r,C)-opers, International Mathematics Research Notices, Vol. 2023 (2023), 10, 8311-8355
- [13] 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)
- [14] L.Heller, S.Heller, M.Traizet. Loop group methods for the non-abelian Hodge correspondence on a 4-punctured sphere
- [15] I. Biswas, N. Borne, S. Dumitrescu, S. Heller., Parabolic opers and differential operators, Journal of Geometry and Physics, Volume 187,(2022)
- [16] I. Biswas, J. Dos Santos, S. Dumitrescu, L. Heller, S. Heller. On the monodromy of holomorphic differential systems
- [17] M. Aprodu, I. Biswas, S. Dumitrescu, S. Heller, On the monodromy map for the logarithmic differential systems, Bull. Soc. Math. Fr., 150(3), 543-568 (2022)
- [18] 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)
- [19] L. Heller, S. Heller, Ch. B. Ndiaye, Isothermic constrained Willmore tori in 3-space, Annals of Global Analysis and Geometry, 60(no. 2), 231-251 (2021)
- [20] 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)
- [21] F. Beck, S. Heller, M. Röser, Energy of sections of the Deligne-Hitchin twistor space, Math. Annalen, 380 no. 3-4, 1169-1214 (2021)
- [22] 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)
- [23] I. Biswas, S. Bradlow, S. Dumitrescu, S. Heller, Uniformization of branched surfaces and Higgs bundles, Int. J. of Mathematics, 32(no. 13) (2021)
- [24] 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)
- [25] L. Heller, S. Heller, Higher solutions of Hitchin's self-duality equations, Journal of Integrable Systems, 5(1), xyaa006 (2020)
- [26] I. Biswas, S. Heller, M. Röser, Real Holomorphic Sections of the Deligne-Hitchin Twistor space, Comm. Math. Phys., 366(3), 1099-1133 (2019)
- [27] S. Heller, L. Schaposnik, Branes through finite group actions, J. Geom. Phys., 129, 279-293 (2018)
- [28] L. Heller, S. Heller, N. Schmitt, Navigating the Space of Symmetric CMC Surfaces, Journal of Differential Geometry, 110(3), 413-455 (2018)
- [29] I. Biswas, S. Heller, Automorphisms of a rank one Deligne-Hitchin moduli space, SIGMA, 13, 19 pages (2017)
- [30] 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)
- [31] L. Heller, S. Heller, Abelianization of Fuchsian systems on a 4-punctured sphere and applications, Journal of Symplectic Geometry, 14(4), 1059 - 1088 (2016)
- [32] S. Heller, N. Schmitt, Deformations of symmetric CMC surfaces in the 3-sphere, Experimental Mathematics, 24(1), 65-75 (2015)
- [33] S. Heller, Conformally flat circle bundles over surfaces, Diff. Geom. Appl., 40, 103-110 (2015)
- [34] 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)
- [35] S. Heller, A spectral curve approach to Lawson symmetric CMC surfaces of genus 2, Math. Annalen, 360(3), 607-652 (2014)
- [36] S. Heller , Lawson's genus two minimal surface and meromorphic connections, Math. Z., 274, 745-760 (2013)
- [37] S. Heller, Higher genus minimal surfaces in S3 and stable bundles, J. Reine Angew. Math. (Crelle), 685, 105-122 (2013)
- [38] S. Heller, Harmonic morphisms on conformally flat 3-spheres, Bull. Lond. Math. Soc., 43(1), 137-150 (2011)
- [39] S. Heller, Conformal fibrations of S3 by circles, Contemp. Math., 542, 195-202 (2011)
- [40] A. I. Bobenko, S. Heller, N. Schmitt, Minimal n-noids in hyperbolic and deSitter 3-space, Proceedings of the Royal Society A, 475, 2227
- [41] I. Biswas, S. Dumitrescu, L. Heller, S. Heller, Holomorphic systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki)
- [42] L. Heller, S. Heller, N. Schmitt, Exploring the Space of Compact Symmetric CMC Surfaces, preprint: arXiv:1503.07838
- [43] F. Beck, I. Biswas, S. Heller, M. Röser. Geometry of the space of sections of twistor spaces with circle action, preprint: arXiv:2102.10853
- [44] L. Heller, S. Heller, M. Traizet. Complete families of embedded high genus CMC surfaces in the 3-sphere, preprint: arXiv:2108.10214
- [45] I. Biswas, S. Dumitrescu, S. Heller., Ch. Pauly Infinitesimal deformations of parabolic connections and parabolic opers, preprint: arXiv:2202.09125
- [46] I. Biswas, S. Dumitrescu, L. Heller, S. Heller, On the existence of holomorphic curves in compact quotients of SL(2,C). 33 pages, preprint: arXiv:2112.03131.
Update Time: 2024-10-08 13:47:14