Ulrich Pinkall
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German mathematician
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Ulrich Pinkallmathematics Degrees
Mathematics
#4731
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Measure Theory
#2992
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#3552
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Mathematics
Why Is Ulrich Pinkall Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ulrich Pinkall is a German mathematician, specializing in differential geometry and computer graphics. Pinkall studied mathematics at the University of Freiburg with a Diplom in 1979 and a doctorate in 1982 with thesis Dupin'sche Hyperflächen under the supervision of Martin Barner. Pinkall was then a research assistant in Freiburg until 1984 and from 1984 to 1986 at the Max Planck Institute for Mathematics in Bonn. In 1985 he completed his habilitation in Bonn with thesis Totale Absolutkrümmung immersierter Flächen . Since 1986 he is professor at TU Berlin.
Ulrich Pinkall's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Computing Discrete Minimal Surfaces and Their Conjugates (1993) (1316)
- Conformal equivalence of triangle meshes (2008) (293)
- On the classification of constant mean curvature tori (1989) (268)
- A simple geometric model for elastic deformations (2010) (261)
- Discrete isothermic surfaces. (1994) (182)
- Globally optimal direction fields (2013) (169)
- Discrete surfaces with constant negative Gaussian curvature and the Hirota equation (1996) (162)
- Discrete conformal maps and ideal hyperbolic polyhedra (2010) (157)
- Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras (1993) (145)
- Conformal Geometry of Surfaces in S4 and Quaternions (2002) (142)
- Robust fairing via conformal curvature flow (2013) (117)
- Regular homotopy classes of immersed surfaces (1985) (112)
- On the geometry of affine immersions (1987) (110)
- Filament-based smoke with vortex shedding and variational reconnection (2010) (110)
- A canonical metric for Möbius structures and its applications (1994) (105)
- Curved flats and isothermic surfaces (1994) (103)
- Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori (2000) (102)
- SCHWARZIAN DERIVATIVES AND FLOWS OF SURFACES (2001) (99)
- Spin transformations of discrete surfaces (2011) (96)
- New minimal surfaces in $S^3$ (1988) (95)
- Minimal tori in S4. (1992) (95)
- Dupin hypersurfaces (1985) (90)
- BONNET PAIRS AND ISOTHERMIC SURFACES (1996) (88)
- Stripe patterns on surfaces (2015) (88)
- Quaternionic analysis on Riemann surfaces and differential geometry. (1998) (79)
- Hamiltonian flows on the space of star-shaped curves (1995) (78)
- On two integrable cellular automata (1993) (64)
- A discrete version of the Darboux transform for isothermic surfaces (1996) (62)
- Cubic form Theorem for Affine Immersions (1988) (47)
- Schrödinger's smoke (2016) (46)
- Deformations of Dupin hypersurfaces (1989) (45)
- The discrete quantum pendulum (1993) (44)
- Conformal maps from a 2-torus to the 4-sphere (2007) (41)
- Integrable deformations of affine surfaces via the Nizhnik-Veselov-Novikov equation (1998) (41)
- Cayley surfaces in affine differential geometry (1989) (40)
- Quaternions, Spinors, and Surfaces (2002) (40)
- Constrained Willmore surfaces (2004) (38)
- Isothermic submanifolds of symmetric R-spaces (2009) (37)
- Constant mean curvature planes with inner rotational symmetry in Euclidean 3-space (1994) (36)
- A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow (2007) (34)
- Smoke rings from smoke (2014) (32)
- Uniformization of geometric structures with aplications to conformal geometry (1986) (28)
- Geometric methods for solving Codazzi and Monge-Ampère equations (1994) (27)
- Shape from metric (2018) (27)
- Curvature properties of taut submanifolds (1986) (26)
- Real-time Interactive Simulation of Smoke Using Discrete Integrable Vortex Filaments (2009) (26)
- Conformal Geometry of Surfaces in the 4-Sphere and Quaternions (2000) (25)
- On the four-vertex theorem (1987) (24)
- Examples of infinite dimensional isoparametric submanifolds (1990) (24)
- Underwater rigid body dynamics (2012) (23)
- Oorange: A Virtual Laboratory for Experimental Mathematics (1997) (23)
- Hopf tori in S 3 (2005) (23)
- Compact Conformally Flat Hypersurfaces (1988) (21)
- Willmore tori in the 4–Sphere with nontrivial normal bundle (2003) (21)
- ON TOTAL MEAN CURVATURES (1986) (21)
- Isothermic triangulated surfaces (2015) (21)
- On a certain class of homogeneous projectively flat manifolds (1987) (20)
- jReality: a java library for real-time interactive 3D graphics and audio (2009) (19)
- On bubble rings and ink chandeliers (2019) (19)
- The spectral curve of a quaternionic holomorphic line bundle over a 2-torus (2009) (19)
- Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes (2015) (19)
- Elastic strips (2010) (18)
- Projective Generalizations of Lelieuvre's Formula (1998) (18)
- Close-to-conformal deformations of volumes (2015) (17)
- Tight smoothing of some polyhedral surfaces (1985) (14)
- On the geometry of affine Kähler immersions (1990) (13)
- Inequalities of Willmore type for submanifolds (1986) (13)
- Designing Cylinders with Constant Negative Curvature (2008) (13)
- Willmore Surfaces (2021) (12)
- Taut 3-manifolds (1989) (12)
- On the geometry of projective immersions (1989) (12)
- Tight surfaces and regular homotopy (1986) (12)
- Computational aspects of soap bubble deformations (1993) (11)
- Complex Line Bundles over Simplicial Complexes and their Applications (2015) (11)
- Inside fluids (2017) (10)
- Hierarchical vorticity skeletons (2017) (9)
- Constant curvature 2-spheres in the 4-sphere (1989) (7)
- Infinitesimal Conformal Deformations of Triangulated Surfaces in Space (2017) (7)
- Conformal deformations of immersed discs in $R^3$ and elliptic boundary value problems (2013) (3)
- A discrete version of Liouville’s theorem on conformal maps (2019) (3)
- Conformal geometry : a publication of the Max-Planck-Institut für Mathematik, Bonn (1988) (3)
- Lorentzian geometry for 2 × 2 real matrices (1991) (2)
- A Weierstrass representation for 2D elasticity (2017) (2)
- Discrete holomorphic geometry I. Darboux transformations and spectral curves (2008) (1)
- Isothermic triangulated surfaces (2016) (1)
- Commuting Hamiltonian Flows of Curves in Real Space Forms (2018) (1)
- Models of the Real Projective Plane (2017) (0)
- 2. Linear Algebra over the Quaternions (2002) (0)
- Discretization of Surfaces and Integrable (1998) (0)
- Doc. Math. J. DMV 389 (0)
- SELECTED TOPICS IN DISCRETE DIFFERENTIAL GEOMETRY AND VISUALIZATION (2009) (0)
- Series Mathematics and Statistics 1998 Bonnet pairs and isothermic surfaces (2017) (0)
- 0 Fe b 20 00 Conformal Geometry of Surfaces in S 4 and Quaternions (2018) (0)
- 3. Projective Spaces (2002) (0)
- Riemann Surfaces and Differential (2007) (0)
- Infinitesimal Conformal Deformations of Triangulated Surfaces in Space (2018) (0)
- Affine differential geometry : proceedings, Mathematisches Forschungsinstitut Oberwolfach, February 10-16, 1991 (1991) (0)
- Ju l 1 99 8 Projective generalizations of Lelieuvre ’ s formula (0)
- 8. Twistor Projections (2002) (0)
- 12. Darboux transforms (2002) (0)
- Constrained willmore surfaces (2021) (0)
- 6. Willmore Surfaces (2002) (0)
- 10. Willmore Surfaces in S3 (2002) (0)
- 5. The Mean Curvature Sphere (2002) (0)
- 11. Spherical Willmore Surfaces in \({\mathbb{H}}P^1\) (2002) (0)
- Global differential geometry and global analysis : proceedings of a conference held in Berlin, 15-20 June 1990 (1991) (0)
- Chapter 4. Dirac Spinors and Conformal Immersions (2002) (0)
- 9. Bäcklund Transforms of Willmore Surfaces (2002) (0)
- 4. Vector Bundles (2002) (0)
- F 3 Mathematical visualization (2015) (0)
- Chapter 3. Spinor Algebra (2002) (0)
- Chapter 2. Applications (2002) (0)
- Glossary of Symbols (2002) (0)
- Filament based plasma (2022) (0)
- 1 4 N ov 2 00 1 SCHWARZIAN DERIVATIVES AND FLOWS OF SURFACES (0)
- Chapter 1. Quaternionic Calculus and Immersions (2002) (0)
- Finding Conformal and Isometric Immersions of Surfaces (2019) (0)
- 7. Metric and Affine Conformal Geometry (2002) (0)
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