BIMSA > 塞巴斯蒂安·赫勒
研究员 塞巴斯蒂安·赫勒

团队: 分析和几何

办公室: A3-4-206

邮箱: sheller@bimsa.cn

研究方向: 微分几何、谐波映射

个人主页: http://geometriewerkstatt.com/SebastianHeller.html

CV

个人简介

Sebastian Heller于2008年获得德国洪堡大学的博士学位，后于2014年获得德国图宾根大学的特许任教资格，在2014-2022年期间在德国海德堡大学任研究员，自2022年9月起任北京雁栖湖应用数学研究院研究员。S. Heller教授致力于微分几何、代数和复杂几何领域研究，特别是紧黎曼曲面上的可积偏微分方程研究，该研究被广泛应用到最小曲面理论、调和映射领域和理论物理学中。在谐波映射、最小和CMC表面领域的科研能力处于国际前沿水平，证明了完整的紧凑型CMC曲面族的存在；展示了沿着变形所有表面都是嵌入的，并获得了关于依赖于保形类型的平均曲率和威尔莫尔能量的更多信息，这是关于3球体中紧凑嵌入CMC表面空间的第一个全局结果；发现了一种用于根据某些积分计算Lawson曲面的复分析数据的递归算法。这些研究成果使得在理解3球体中致密恒定平均曲率(CMC)表面的几何和（复）分析特性方面迈出了重要一步，得到领域专家学者普遍认可。已在《Comm. Math. Phys.》、 《Journal of Integrable Systems》、《Math. Ann.》、《Journal of Differential Geometry》、《Proceedings of the Royal Society A》, 《Journal of Differential Geometry》等国际重要期刊发表论文43篇，引用202余次，H因子8。在国际会议、论坛等做了21场次的主题和邀请口头报告，并组织6次会议。

研究兴趣

  • Integrable systems
  • Higgs bundles and Hitchin systems
  • Geometric and analytic aspects of moduli spaces
  • Harmonic maps, minimal and CMC surfaces

教育经历

  • 2014 -      蒂宾根大学      Habilitation
  • 2005 - 2008      柏林洪堡大学      数学      博士
  • 2000 - 2004      柏林工业大学      数学      硕士

工作经历

  • 2022 -      北京雁栖湖应用数学研究院      研究员
  • 2020 - 2022      汉诺威大学      研究员
  • 2020 - 2020      海德堡大学      代课教授
  • 2019 - 2020      汉诺威大学      助理研究员
  • 2017 - 2019      德国汉堡大学      博士后
  • 2017 - 2017      汉诺威大学      助理研究员
  • 2007 - 2017      蒂宾根大学      助理研究员

出版物

  • [1] 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)
  • [2] S. Heller, F. Pedit, Ch. Ouyang, Higgs bundles and SYZ geometry, Journal of Differential Geometry, 128(2), 773-814 (2024)
  • [3] S. Charlton, L. Heller, S. Heller, M. Traizet, Minimal surfaces and alternating multiple zetas, arxiv:2407.07130 (2024)
  • [4] 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)
  • [5] Lynn Heller, Sebastian Heller, Fuchsian DPW potentials for Lawson surfaces, Geometriae Dedicata, 217(6), 101 (2023)
  • [6] I. Biswas, S. Heller, L. Schaposnik, Real slices of SL(r,C)-opers, SIGMA, 19 (2023), 067(2023)
  • [7] I. Biswas, S. Dumitrescu, S. Heller, Branched SL(r,C)-opers, International Mathematics Research Notices, Vol. 2023 (2023), 10, 8311-8355
  • [8] S. Heller, Real projective structures on Riemann surfaces and new hyper-Kähler manifolds, Manuscripta Math., 171(2023), No. 1-2, 241-262
  • [9] S. Heller, Willmore spheres in the 3-sphere revisited, Communications in Analysis and Geometry, 31(4), 793-798 (2023)
  • [10] Lynn Heller, Sebastian Heller, Martin Traizet, On the enclosed volume for CMC surfaces in the 3-sphere and euclidean 3-space (2023)
  • [11] I. Biswas, L. Heller, S. Heller, Holomorphic Higgs bundles over the Teichmüller space, arXiv:2308.13860 (2023)
  • [12] Lynn Heller, Sebastian Heller, Martin Traizet, Area estimates of high genus Lawson surfaces via DPW, Journal of Differential Geometry, 124(2023), 1, 1-35
  • [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] 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)
  • [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, S. Dumitrescu, L. Heller, S. Heller, On the existence of holomorphic curves in compact quotients of SL(2, C), arXiv:2112.03131 (2021)
  • [17] I. Biswas, S. Dumitrescu, L. Heller, S. Heller, Holomorphic systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki), arXiv:2104.04818 (2021)
  • [18] I. Biswas, S. Bradlow, S. Dumitrescu, S. Heller, Uniformization of branched surfaces and Higgs bundles, Int. J. of Mathematics, 32(no. 13) (2021)
  • [19] 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)
  • [20] F. Beck, S. Heller, M. Röser, Energy of sections of the Deligne-Hitchin twistor space, Math. Annalen, 380 no. 3-4, 1169-1214 (2021)
  • [21] 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)
  • [22] 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)
  • [23] L. Heller, S. Heller, Higher solutions of Hitchin's self-duality equations, Journal of Integrable Systems, 5(1), xyaa006 (2020)
  • [24] L. Heller, S. Heller, M. Traizet, Loop group methods for the non-abelian Hodge correspondence on a 4-punctured sphere, arXiv:1907.07139 (2019)
  • [25] I. Biswas, S. Heller, M. Röser, Real Holomorphic Sections of the Deligne-Hitchin Twistor space, Comm. Math. Phys., 366(3), 1099-1133 (2019)
  • [26] S. Heller, L. Schaposnik, Branes through finite group actions, J. Geom. Phys., 129, 279-293 (2018)
  • [27] I. Biswas, S. Heller, Automorphisms of a rank one Deligne-Hitchin moduli space, SIGMA, 13, 19 pages (2017)
  • [28] 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)
  • [29] S. Heller, N. Schmitt, Deformations of symmetric CMC surfaces in the 3-sphere, Experimental Mathematics, 24(1), 65-75 (2015)
  • [30] S. Heller, Conformally flat circle bundles over surfaces, Diff. Geom. Appl., 40, 103-110 (2015)
  • [31] 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)
  • [32] S. Heller, A spectral curve approach to Lawson symmetric CMC surfaces of genus 2, Math. Annalen, 360(3), 607-652 (2014)
  • [33] S. Heller, Higher genus minimal surfaces in S3 and stable bundles, J. Reine Angew. Math. (Crelle), 685, 105-122 (2013)
  • [34] S. Heller , Lawson's genus two minimal surface and meromorphic connections, Math. Z., 274, 745-760 (2013)
  • [35] S. Heller, Conformal fibrations of S3 by circles, Contemp. Math., 542, 195-202 (2011)
  • [36] S. Heller, Harmonic morphisms on conformally flat 3-spheres, Bull. Lond. Math. Soc., 43(1), 137-150 (2011)
  • [37] I. Biswas, S. Dumitrescu, S. Heller., Ch. Pauly Infinitesimal deformations of parabolic connections and parabolic opers, preprint: arXiv:2202.09125
  • [38] L. Heller, S. Heller, M. Traizet. Complete families of embedded high genus CMC surfaces in the 3-sphere, preprint: arXiv:2108.10214
  • [39] F. Beck, I. Biswas, S. Heller, M. Röser. Geometry of the space of sections of twistor spaces with circle action, preprint: arXiv:2102.10853
  • [40] L. Heller, S. Heller, N. Schmitt, Exploring the Space of Compact Symmetric CMC Surfaces, preprint: arXiv:1503.07838
  • [41] A. I. Bobenko, S. Heller, N. Schmitt, Minimal n-noids in hyperbolic and deSitter 3-space, Proceedings of the Royal Society A, 475, 2227

 

更新时间: 2025-02-24 21:01:32