Technische Universität Berlin - Institut für Mathematik - MA 8-3
Arbeitsgruppe Geometrie

Strasse des 17. Juni 136
10623 Berlin, Germany

Mail: knoeppel[at]math.tu-berlin.de
Phone: +49-30-314-25783
Office: MA 882

Office hours: by appointment

Current semester (Winter 2022)

• Differential Geometry II

Previous semesters

• Visualization in Mathematics (Winter '10, Summer '12, '13, '15, '16, '17, '18, '19, '20, '21)
• Differential Geometry I (Summer '11, '14)
• Differential Geometry II (Winter '11, '12, '14, '15, '16, '17, '18)
• Complex Analysis I (Summer '12)
• Complex Analysis II (Winter '13, '19, '20)
• Student Seminar (Summer '15, '16, '17, '18, '19, '20, '21 Winter '15, '16, '17, '18, '19, '20, '21)

Current Project

• Discretization in Geometry and Dynamics (C07)

• Cmc Surfaces and Smoke Ring Flow
• Geometric Problems and Special PDEs

• Marcel Padilla, Oliver Gross, Felix Knöppel, Albert Chern, Ulrich Pinkall, Peter Schröder
  Filament Based Plasma
  ACM Trans. Graph. 41, 4 (July), 153:1–153:14, 2022
  doi>10.1145/3528223.3530102
• Yousuf Soliman, Albert Chern, Olga Diamanti, Felix Knöppel, Ulrich Pinkall, Peter Schröder
  Constrained Willmore Surfaces
  ACM Trans. Graph. 40, 4 (August) 112:1–112:17, 2021
  doi>10.1145/3450626.3459759
• Albert Chern, Felix Knöppel, Franz Pedit, Ulrich Pinkall, Peter Schröder
  Finding conformal and isometric immersions of surfaces
  In: Hoffmann T., Kilian M., Leschke K., Martin F. (eds)
  Minimal Surfaces: Integrable Systems and Visualisation. m:iv 2017, m:iv 2018, m:iv 2018, m:iv 2019.
  Springer Proceedings in Mathematics & Statistics, vol 349. Springer, 2021
  [arXiv:1901.09432 [math.DG]], doi>10.1007/978-3-030-68541-6_2
• Albert Chern, Felix Knöppel, Franz Pedit, Ulrich Pinkall
  Commuting Hamiltonian flows of curves in real space forms
  In Integrable Systems and Algebraic Geometry –
  Proceedings in honor of Emma Previato's 65th birthday,
  LMS Lecture Note Series 158, 291–328, Cambridge University Press, 2020
  [arXiv:1809.01394 [math.DG]], doi>10.1017/9781108773287.013
  
• Marcel Padilla, Albert Chern, Felix Knöppel, Ulrich Pinkall, Peter Schröder
  On bubble rings and ink chandeliers
  ACM Trans. Graph. 38, 4 (July), 129:1–129:14, 2019
  doi>10.1145/3306346.3322962
• Albert Chern, Felix Knöppel, Ulrich Pinkall, Peter Schröder
  Shape from metric
  ACM Trans. Graph. 37, 4 (July), 63:1–63:17, 2018
  doi>10.1145/3197517.3201276
• Albert Chern, Felix Knöppel, Ulrich Pinkall, Peter Schröder
  Inside fluids: Clebsch maps for visualization and processing
  ACM Trans. Graph. 36, 4 (July), 142:1–142:11, 2017
  doi>10.1145/3072959.3073591
• Albert Chern, Felix Knöppel, Ulrich Pinkall, Peter Schröder, Steffen Weißmann
  Schrödinger's smoke
  ACM Trans. Graph. 35, 4 (July), 77:1–77:13, 2016
  doi>10.1145/2897824.2925868
• Felix Knöppel, Ulrich Pinkall
  Complex line bundles over simplicial complexes and their applications
  Advances in Discrete Differential Geometry, 197–239, Springer, 2016
  [arXiv:1506.07853 [math.DG]], doi>10.1007/978-3-662-50447-5
• Felix Knöppel, Keenan Crane, Ulrich Pinkall, Peter Schröder
  Stripe patterns on surfaces
  ACM Trans. Graph. 34, 4 (July), 39:1–39:11, 2015
  doi>10.1145/2767000
• Felix Knöppel, Keenan Crane, Ulrich Pinkall, Peter Schröder
  Globally optimal direction fields
  ACM Trans. Graph. 32, 4 (July), 59:1–59:10, 2013
  doi>10.1145/2461912.2462005

• Lecture Notes on Riemann Surfaces

• Complex Line Bundles over Simplicial Complexes
  at Conference on Discretization in Geometry and Dynamics. Herrsching 2015
  and at Minimal Surfaces: Integrable Systems and Visualization, Cork 2017
• Stripe Patterns on Surfaces
  at Geometry Workshop in Seggau 2015
• Globally Optimal Smooth Direction Fields
  at Caltech and the Berlin DGD seminar in 2013
• What is... a Smoke Ring?
  at "What is...?" Seminar in 2012
• Globally Optimal Smooth k-Vector Fields and Curvature Lines
  at Navigating the space of Surfaces, 2012
  and at Conference on Differential Geometry, 2012

• CMC Tori (jReality screenshots)
• CMC Tori (rendered with SunFLow)
• Smoke Ring Flow (jReality screenshots)