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- Ulrich Pinkall

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
37
Citations
6,852
102
World Ranking
1664
National Ranking
95

- Geometry
- Mathematical analysis
- Topology

His primary areas of study are Mathematical analysis, Topology, Pure mathematics, Torus and Mean curvature. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Invariant and Mesh parameterization. Ulrich Pinkall has included themes like Genus, Minimal surface, Harmonic map, Boundary value problem and Bounded function in his Mesh parameterization study.

Ulrich Pinkall interconnects Discrete differential geometry and Algebra in the investigation of issues within Topology. His Pure mathematics research integrates issues from Surface, Conformal map, Conformal geometry and Class. The various areas that Ulrich Pinkall examines in his Conformal map study include Distortion and Piecewise.

- Computing Discrete Minimal Surfaces and Their Conjugates (1023 citations)
- Conformal equivalence of triangle meshes (225 citations)
- A simple geometric model for elastic deformations (202 citations)

Pure mathematics, Mathematical analysis, Conformal map, Geometry and Riemann surface are his primary areas of study. Ulrich Pinkall is involved in the study of Mathematical analysis that focuses on Infinitesimal in particular. His Conformal map research is multidisciplinary, incorporating elements of Structure, Mean curvature, Quaternion and Invariant.

His Mean curvature research focuses on Constant and how it relates to Principal curvature. His work on Affine transformation, Radius of curvature and Affine geometry as part of general Geometry study is frequently connected to Absolute geometry and Ordered geometry, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His research investigates the connection between Riemann surface and topics such as Line bundle that intersect with problems in Meromorphic function.

- Pure mathematics (42.37%)
- Mathematical analysis (37.29%)
- Conformal map (27.12%)

- Conformal map (27.12%)
- Mathematical analysis (37.29%)
- Pure mathematics (42.37%)

Ulrich Pinkall mainly focuses on Conformal map, Mathematical analysis, Pure mathematics, Vector field and Invariant. His Conformal map research incorporates themes from Mean curvature, Differential geometry, Surface and Euclidean space. As part of his studies on Mathematical analysis, Ulrich Pinkall often connects relevant areas like Eigenvalues and eigenvectors.

His research in Pure mathematics intersects with topics in Piecewise and Liouville's theorem. His studies deal with areas such as Flow, Level of detail, Vortex, Vorticity and Sparse matrix as well as Vector field. In his research, Minimal surface, Complex plane, Quadratic differential, Identity theorem and Analyticity of holomorphic functions is intimately related to Harmonic function, which falls under the overarching field of Invariant.

- Globally optimal direction fields (108 citations)
- Discrete conformal maps and ideal hyperbolic polyhedra (87 citations)
- Robust fairing via conformal curvature flow (76 citations)

- Geometry
- Mathematical analysis
- Topology

His main research concerns Pure mathematics, Classical mechanics, Conformal geometry, Conformal map and Topology. In the field of Pure mathematics, his study on Riemann surface, Twistor theory, Algebraic curve and Line bundle overlaps with subjects such as Fibration. His Conformal map study combines topics from a wide range of disciplines, such as Flow, Mean curvature flow, Willmore energy and Polyhedron.

His research on Topology also deals with topics like

- Eigenvalues and eigenvectors, which have a strong connection to Discrete differential geometry and Linear system,
- Line, which have a strong connection to Quadratic equation, Gravitational singularity and Principal curvature. Linear system is the subject of his research, which falls under Mathematical analysis. Ulrich Pinkall combines subjects such as Mean curvature, Curvature and Surface with his study of Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Computing Discrete Minimal Surfaces and Their Conjugates

Ulrich Pinkall;Konrad Polthier.

Experimental Mathematics **(1993)**

1453 Citations

On the classification of constant mean curvature tori

Ulrich Pinkall;Ivan Sterling.

Annals of Mathematics **(1989)**

330 Citations

Hopf tori inS 3

U. Pinkall.

Inventiones Mathematicae **(1985)**

317 Citations

Conformal equivalence of triangle meshes

Boris Springborn;Peter Schröder;Ulrich Pinkall.

international conference on computer graphics and interactive techniques **(2008)**

299 Citations

A simple geometric model for elastic deformations

Isaac Chao;Ulrich Pinkall;Patrick Sanan;Peter Schröder.

international conference on computer graphics and interactive techniques **(2010)**

278 Citations

Discrete isothermic surfaces.

Alexander Bobenko;Ulrich Pinkall.

**(1996)**

273 Citations

Conformal Geometry of Surfaces in S4 and Quaternions

Francis E. Burstall;Dirk Ferus;Katrin Leschke;Franz Pedit.

**(2002)**

191 Citations

Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras

Francis E. Burstall;Dirk Ferus;Franz Pedit;Ulrich Pinkall.

Annals of Mathematics **(1993)**

180 Citations

Discrete surfaces with constant negative Gaussian curvature and the Hirota equation

Alexander Bobenko;Ulrich Pinkall.

Journal of Differential Geometry **(1996)**

180 Citations

Globally optimal direction fields

Felix Knöppel;Keenan Crane;Ulrich Pinkall;Peter Schröder.

international conference on computer graphics and interactive techniques **(2013)**

155 Citations

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