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Dr. Ulrike Bücking

Bild-Buecking

Freie Universität Berlin

Institut für Mathematik

Diskrete algebraische Geometrie & Mathematik für Lehramt

Address
Arnimallee 3
Room 038
14195 Berlin
Office
+49 30 838 58545
Frau S. Nordt
Telephone
+49 30 838 66595
Email
buecking@math.fu-berlin.de

Since summer semester 2019, I am - in cooperation with Christine Scharlach - responsible for the courses (in particular the lectures).

  • Mathematisches Professionswissen für das Grundschullehramt I.1, 
  • Mathematisches Professionswissen für das Grundschullehramt I.2 and 
  • Mathematisches Professionswissen für das Grundschullehramt II .

Former teaching (at TU Berlin)

During the summer semester 2018, I was responsible for the lecture Complex Analysis I .
During the winter semester 2013/14, I was responsible for the lecture Mathematik für Physikerinnen und Physiker I.

During the summer school "Abecedarian of SIDE (ASIDE)" (27.6.-1.7.16) I held the lectures "Introduction to linear and non-linear integrable theories in discrete complex analysis" in the field "Discrete differential geometry". This has been published in the lecture notes by Springer (see publications).

For the following courses I have been in charge of the exercise course, tutorials and homework sheets.

WiSe 2018/19 Mathematik für Physikerinnen und Physiker III
WiSe 2017/18: Complex Analysis II
  Mathematik für Physikerinnen und Physiker I
SoSe 2017: Mathematik für Physikerinnen und Physiker IV
WiSe 2016/17: Mathematik für Physikerinnen und Physiker III
SoSe 2016: Mathematik für Physikerinnen und Physiker II
WiSe 2015/16: Mathematik für Physikerinnen und Physiker I
SoSe 2015: Mathematik für Physikerinnen und Physiker IV
WiSe 2014/15: Complex Analysis II
WiSe 2012/13: Mathematik für Physikerinnen und Physiker III
SoSe 2012: Geometry II
SoSe 2010: Differentialgeometrie I: Kurven und Flächen
SoSe 2009: Komplexe Analysis
SoSe 2008: Mathematik II für Physiker und Physikerinnen
WiSe 2007/08: Mathematik I für Physiker und Physikerinnen
SoSe 2007: Komplexe Analysis
WiSe 2005/06: Mathematische Physik I
SoSe 2005: Komplexe Analysis
WiSe 2004/05: Analysis III
SoSe 2004: Analysis II
WiSe 2003/04: Analysis I
SoSe 2003: Mathematische Physik II
WiSe 2002/03: Elementargeometrie (L)
SoSe 2002: Analysis II für Ingenieure

Research Interests

  • Convergence of discrete conformal mappings and convergence of discrete surfaces
  • rigidity of planar patterns
  • integrability of discrete conformal maps
  • discrete (minimal) surfaces
  • Hochschuldidaktik Mathematik

Project membership: SFB/Transregio Discretization in Geometry and Dynamics in Project A01: Discrete Riemann Surfaces


Preprints

A.I. Bobenko, U. Bücking. Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere. Preprint arXiv:1809.04847 [math.CV], submitted.

Publications

U. Bücking. Conformally symmetric triangular lattices and discrete θ-conformal maps. IMRN, rnz308 (2019), arXiv:1808.08064 [math.CV].
U. Bücking. On rigidity and convergence of circle patterns. Discrete and Computational geometry, 61 (2019), 380-420. arXiv:1605.01176 [math.CV]
U. Bücking. C∞-convergence of conformal mappings for conformally equivalent triangular lattices. Results in Mathematics, 73 (2018). arXiv:1706.09145[math.CV]
A. Bobenko, U. Bücking, S. Sechelmann. Discrete minimal surfaces of Koebe type. In Modern Approaches to Discrete Curvature, L. Najman and P. Romon (eds.), Lect. Notes in Math. 2184, Springer, 2017, 259-291.
U. Bücking. Introduction to discrete complex analysis. In Symmetries and Integrability of Difference Equations: Lecture Notes of the Abecederian of SIDE 12, Montréal 2016, D. Levi, R. Verge-Rebelo and P. Winternitz (eds.), Springer, 2017, 153-193.
S. Born, U. Bücking, B. Springborn. Quasiconformal distortion of projective transformations and discrete conformal maps. Discrete and Computational geometry, 57 (2017), 305-317. arXiv:1505.01341[math.CV]
U. Bücking. Approximation of conformal mappings using conformally equivalent triangular lattices. In "Advances in Discrete Differential Geometry", A.I. Bobenko (ed.), Springer, 2016, 133-149. arXiv:1507.06449 [math.CV]
U. Bücking, D. Matthes. Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization. In "Advances in Discrete Differential Geometry", A.I. Bobenko (ed.), Springer, 2016, 309-345. arXiv:1506.07337[math.DG]
U. Bücking. Rigidity of quasicrystallic and Zγ-circle patterns. Discrete and Computational geometry, 46 (2011), 223-251, arXiv:1001.3528[math.MG].
U. Bücking. Approximation of conformal mappings by circle patterns. Oberwolfach Reports, 6 (2009), 119-121.
U. Bücking. Approximation of conformal mappings by circle patterns. Geometriae Dedicata, 137 (2008), 163-197, arXiv:0806.3833[math.MG].
U. Bücking. Minimal surfaces from circle patterns: Boundary value problems, examples. In: Discrete Differential Geometry, A.I. Bobenko, P. Schröder, J.M. Sullivan, G.M. Ziegler, (eds.), Series: Oberwolfach Seminars, Vol. 38, 2008, 37--56.
U. Bücking. Approximation of conformal mappings by circle patterns and discrete minimal surfaces. PhD thesis, December 2007, Technische Universität Berlin, Supervisor: Prof. A. Bobenko, published online.
U. Scheerer and C. Wulff. Reduced Dynamics for Momentum Maps with Cocycles. C.R. Acad. Sci. Paris - Série I - Mathematics 333(11), 999-1004, 2001.
U. Scheerer. Reduzierte Dynamik für Symmetrien mit Impulsabbildungen, die nichttriviale Kozykeln haben : Diploma thesis, March 2002, Technische Universität Berlin.