Felix Knöppel
Mathematician and researcher with expertise in differential geometry, discretization methods, and mathematical visualization, specializing in applications for computer graphics. Over 10 years of research experience, including a PhD and postdoctoral research, with a track record of contributing to high-impact publications, innovative visualization algorithms, and
interdisciplinary collaborations.
Former Projects
Publications
- with Yousuf Soliman, Marcel Padilla, Oliver Gross, Ulrich Pinkall, Peter Schröder
Going with the flow
ACM Trans. Graph. 43, 4 (July), 57:1–57:12, 2024
-
Random zero currents of sections of Hermitian line bundles over compact Riemannian manifolds
preprint, 2023
- with Ulrich Pinkall, Peter Schröder, Yousuf Soliman
Rolling spheres and the Willmore energy
preprint, 2023
- with Oliver Gross, Yousuf Soliman, Marcel Padilla, Ulrich Pinkall, Peter Schröder
Motion from Shape Change
ACM Trans. Graph. 42, 4 (July), 107:1–107:11, 2023
doi>10.1145/3592417
- with Marcel Padilla, Oliver Gross, 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
- with Yousuf Soliman, Albert Chern, Olga Diamanti, Ulrich Pinkall, Peter Schröder
Constrained Willmore Surfaces
ACM Trans. Graph. 40, 4 (August) 112:1–112:17, 2021
doi>10.1145/3450626.3459759
- with Albert Chern, 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
- with Albert Chern, 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
- with Marcel Padilla, Albert Chern, 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
- with Albert Chern, Ulrich Pinkall, Peter Schröder
Shape from metric
ACM Trans. Graph. 37, 4 (July), 63:1–63:17, 2018
doi>10.1145/3197517.3201276
- with Albert Chern, 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
- with Albert Chern, 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
- with 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
- with 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
- with 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
Teaching
-
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,
'22)
-
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)
Lecture Notes
Talks
Misc