![]() |
Fakultät II - Mathematik und Naturwissenschaften Institut für Mathematik AG Geometrie und Mathematische Physik |
Professor
TU Berlin, MA 8-3 Strasse des 17. Juni 136 10623 Berlin |
boris.springborn@tu-berlin.de |
office MA 871 tel +49 30 314 23617 fax +49 30 314 79282 |
secretary (MA 8-3) Kati Gabler gabler@math.tu-berlin.de tel +49 30 314 29273 |
![]() |
A01 Discrete Riemann surfaces in SFB/Transregio 109 Discretization in Geometry and Dynamics |
Sommer 2023 |
Complex Analysis I Mathematik für Physiker*innen IV Seminar Geometrie |
---|---|
Winter 2022/23 |
Geometry III Mathematik für Physiker*innen III Seminar Differentialgeometrie |
Sommer 2022 |
Complex Analysis I Geometry II Seminar Differentialgeometrie |
Winter 2021/22 |
Geometry I Mathematical Physics I |
Sommer 2021 |
Complex Analysis I Applications of hyperbolic geometry |
Winter 2020/21 | Forschungssemester/Sabbatical |
Sommer 2020 | Mathematik für Physiker/innen II |
Winter 2019/20 |
Geometry III Mathematik für Physiker/innen I |
previous semesters |
Sommer 2023 | wird noch bekanntgegeben |
vorlesungsfreie Zeit | nach Vereinbarung |
Nächste Prüfungtermine: 01.06., 15.06., 29.06., 13.07.
Bitte vereinbaren Sie Ihren Prüfungstermin mit Frau Gabler. (Please make arrangements with Ms. Gabler.)
G. Fischer and B. Springborn.
Lineare Algebra. Eine Einführung für Studienanfänger.
Grundkurs Mathematik. Springer, 19th edition, 2020.
B. Springborn. The worst approximable rational numbers. arXiv:2209.15542, September 2022.
M. Gillespie, B. Springborn, and K. Crane. Discrete conformal equivalence of polyhedral surfaces. ACM Trans. Graph., 40(4), 2021. doi:10.1145/3450626.3459763.
U. Pinkall and B. Springborn. A discrete version of Liouville's theorem on conformal maps. Geom. Dedicata, 214:389--398, 2021. doi:10.1007/s10711-021-00621-2.
B. Springborn. Ideal hyperbolic polyhedra and discrete uniformization. Discrete Comput. Geom., 64(1):63--108, 2020. doi:10.1007/s00454-019-00132-8.
M. Joswig, R. Löwe, and B. Springborn. Secondary fans and secondary polyhedra of punctured Riemann surfaces. Exp. Math., 29(4):426--442, 2020. Published online 04 Jun 2019. doi:10.1080/10586458.2018.1477078.
B. Springborn. The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms. Enseign. Math., 63(3-4):333--373, 2017. doi:10.4171/LEM/63-3/4-5.
S. Born, U. Bücking, and B. Springborn. Quasiconformal dilatation of projective transformations and discrete conformal maps. Discrete Comput. Geom., 57(2):305--317, 2017. doi:10.1007/s00454-016-9854-7.
R. Richter, J. E. Kyprianidis, B. Springborn, and M. Alexa. Constrained modelling of 3-valent meshes using a hyperbolic deformation metric. Computer Graphics Forum, 36(6):62--75, 2017. doi:10.1111/cgf.12805.
A. I. Bobenko, U. Pinkall, and B. Springborn. Discrete conformal maps and ideal hyperbolic polyhedra. Geom. Topol., 19(4):2155--2215, 2015. doi:10.2140/gt.2015.19.2155.
I. Izmestiev, R. B. Kusner, G. Rote, B. Springborn, and J. M. Sullivan. There is no triangulation of the torus with vertex degrees 5,6,...,6,7 and related results: geometric proofs for combinatorial theorems. Geom. Dedicata, 166:15--29, 2013. doi:10.1007/s10711-012-9782-5.
B. Springborn, P. Schröder, and U. Pinkall. Conformal equivalence of triangle meshes. ACM Trans. Graph., 27(3):77:1--77:11, August 2008. Proceedings of ACM SIGGRAPH. doi:10.1145/1360612.1360676.
B. Springborn. A variational principle for weighted Delaunay triangulations and hyperideal polyhedra. J. Differential Geom., 78(2):333--367, 2008. doi:10.4310/jdg/1203000270.
U. Pinkall, B. Springborn, and S. Weißmann. A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow. J. Phys. A, 40(42):12563--12576, 2007. doi:10.1088/1751-8113/40/42/S04.
A. I. Bobenko and B. Springborn. A discrete Laplace-Beltrami operator for simplicial surfaces. Discrete Comput. Geom., 38(4):740--756, 2007. doi:10.1007/s00454-007-9006-1.
M. Fisher, B. Springborn, P. Schröder, and A. I. Bobenko. An algorithm for the construction of intrinsic Delaunay triangulations with applications to digital geometry processing. Computing, 81(2-3):199--213, 2007. doi:10.1007/s00607-007-0249-8.
A. I. Bobenko, T. Hoffmann, and B. Springborn. Minimal surfaces from circle patterns: geometry from combinatorics. Ann. of Math. (2), 164(1):231--264, 2006. doi:10.4007/annals.2006.164.231.
L. Kharevych, B. Springborn, and P. Schröder. Discrete conformal mappings via circle patterns. ACM Trans. Graph., 25(2):412--438, April 2006. doi:10.1145/1138450.1138461.
B. Springborn. A unique representation of polyhedral types. Centering via Möbius transformations. Math. Z., 249(3):513--517, 2005. doi:10.1007/s00209-004-0713-5.
A. I. Bobenko and B. Springborn. Variational principles for circle patterns and Koebe's theorem. Trans. Amer. Math. Soc., 356(2):659--689, 2004. doi:10.1090/S0002-9947-03-03239-2.
A. I. Bobenko, T. V. Pavlyukevich, and B. Springborn. Hyperbolic constant mean curvature one surfaces: spinor representation and trinoids in hypergeometric functions. Math. Z., 245(1):63--91, 2003. doi:10.1007/s00209-003-0511-5.
B. Springborn. The toy top, an integrable system of rigid body dynamics. J. Nonlinear Math. Phys., 7(3):386--410, 2000. doi:10.2991/jnmp.2000.7.3.5.
H. Kouřimská, L. Skuppin, and B. Springborn. A variational principle for cyclic polygons with prescribed edge lengths. In A. I. Bobenko, editor, Advances in discrete differential geometry, pages 177--195. Springer, Berlin, 2016. doi:10.1007/978-3-662-50447-5_5.
A. I. Bobenko, S. Sechelmann, and B. Springborn. Discrete conformal maps: boundary value problems, circle domains, Fuchsian and Schottky uniformization. In A. I. Bobenko, editor, Advances in discrete differential geometry, pages 1--56. Springer, Berlin, 201. doi:10.1007/978-3-662-50447-5_1.
B. Springborn. Constructing circle patterns using a new functional. In Visualization and mathematics III, Math. Vis., pages 59--68. Springer, Berlin, 2003. doi:10.1007/978-3-662-05105-4_3.
B. Springborn. Bonnet pairs in the 3-sphere. In Differential geometry and integrable systems (Tokyo, 2000), volume 308 of Contemp. Math., pages 297--303. Amer. Math. Soc., Providence, RI, 2002. doi:10.1090/conm/308/05326.
B. Springborn. Variational principles for circle patterns. PhD thesis, Technische Universität Berlin, 2003. Advisor: A. I. Bobenko. doi:10.14279/depositonce-767.
A. I. Bobenko and B. Springborn. Diskretisierung in Geometrie und Dynamik---elastische Stäbe und Rauchringe. Mitt. Dtsch. Math.-Ver., 21(4):218--224, 2013. doi:10.1515/dmvm-2013-0085.
B. Springborn. Stein--Schere--Papier. In K. Biermann, M. Grötschel, and B. Lutz-Westphal, editors, Besser als Mathe: Moderne angewandte Mathematik aus dem Matheon zum Mitmachen, pages 23--26. Vieweg Teubner, Wiesbaden, 2010. doi:10.1007/978-3-8348-9380-2_4.
Some pictures of discrete minimal surfaces (See also Stefan Sechelmann's homepage.) |
Boris Springborn |
Last modified: Friday, 12-May-2023 14:34:52 CEST . |