What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (42.37%)
- Mathematical analysis (37.29%)
- Conformal map (27.12%)
What were the highlights of his more recent work (between 2011-2021)?
- Conformal map (27.12%)
- Mathematical analysis (37.29%)
- Pure mathematics (42.37%)
In recent papers he was focusing on the following fields of study:
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.
Between 2011 and 2021, his most popular works were:
- Globally optimal direction fields (108 citations)
- Discrete conformal maps and ideal hyperbolic polyhedra (87 citations)
- Robust fairing via conformal curvature flow (76 citations)
In his most recent research, the most cited papers focused on:
- 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.
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