H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 45 Citations 8,315 117 World Ranking 782 National Ranking 41

Overview

What is he best known for?

The fields of study he is best known for:

  • Geometry
  • Mathematical analysis
  • Algebra

His primary areas of study are Mathematical analysis, Integrable system, Discrete differential geometry, Discretization and Constant-mean-curvature surface. His Mathematical analysis research is multidisciplinary, incorporating elements of Mean curvature flow, Curvature, Scalar curvature and Discrete system. Integrable system is a subfield of Pure mathematics that Alexander I. Bobenko studies.

In his study, Discrete geometry and Laplace operator is strongly linked to Minimal surface, which falls under the umbrella field of Discrete differential geometry. His Discretization study integrates concerns from other disciplines, such as Lie group, Equations of motion and Holomorphic function. His Constant-mean-curvature surface study combines topics from a wide range of disciplines, such as Total curvature, Delaunay triangulation, Combinatorics and Harmonic function.

His most cited work include:

  • Classification of Integrable Equations on Quad-Graphs. The Consistency Approach (549 citations)
  • Classification of integrable equations on quad-graphs. The consistency approach (432 citations)
  • Integrable systems on quad-graphs (318 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Pure mathematics, Mathematical analysis, Integrable system, Discretization and Quadrilateral. His studies deal with areas such as Space and Structure as well as Pure mathematics. The concepts of his Mathematical analysis study are interwoven with issues in Mean curvature, Curvature and Gaussian curvature.

In his research, Alexander I. Bobenko undertakes multidisciplinary study on Integrable system and Context. His research integrates issues of Orthogonality, Invariant and Applied mathematics in his study of Discretization. His research in Discrete differential geometry intersects with topics in Minimal surface and Discrete geometry.

He most often published in these fields:

  • Pure mathematics (37.30%)
  • Mathematical analysis (34.59%)
  • Integrable system (25.41%)

What were the highlights of his more recent work (between 2016-2021)?

  • Pure mathematics (37.30%)
  • Quadrilateral (12.97%)
  • Minimal surface (7.57%)

In recent papers he was focusing on the following fields of study:

Alexander I. Bobenko focuses on Pure mathematics, Quadrilateral, Minimal surface, Space and Integrable system. His Pure mathematics study combines topics from a wide range of disciplines, such as Ring, Conical surface, Coordinate system and Diagonal. His Minimal surface study incorporates themes from Discrete mathematics, Gauss map, Polyhedron, Immersion and Unit sphere.

His Integrable system research incorporates themes from Laplace transform, Quadratic equation, Complex torus, Functional equation and Bipartite graph. His Curvature study combines topics in areas such as Theoretical physics, Mathematical analysis, Uniformization theorem and Riemann sphere. Alexander I. Bobenko mostly deals with Conformal symmetry in his studies of Mathematical analysis.

Between 2016 and 2021, his most popular works were:

  • Incircular nets and confocal conics (22 citations)
  • Discrete CMC surfaces in R^3 and discrete minimal surfaces in S^3 : a discrete Lawson correspondence (18 citations)
  • On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations (9 citations)

In his most recent research, the most cited papers focused on:

  • Geometry
  • Mathematical analysis
  • Algebra

His primary scientific interests are in Pure mathematics, Minimal surface, Quadrilateral, Discretization and Confocal. His Pure mathematics research focuses on Conic section and how it relates to Differential geometry, Congruence relation, Inscribed figure and Incidence. His work carried out in the field of Minimal surface brings together such families of science as Gaussian curvature, Loop group, Integrable system, Space and Topology.

His Integrable system study integrates concerns from other disciplines, such as Discrete mathematics, Factorization, Anti-de Sitter space and Immersion. His Discretization study deals with the bigger picture of Mathematical analysis. Mathematical analysis and Coordinate system are commonly linked in his work.

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.

Top Publications

Classification of integrable equations on quad-graphs. The consistency approach

V.E.Adler;A.I.Bobenko.
arXiv: Exactly Solvable and Integrable Systems (2002)

662 Citations

Discrete Differential Geometry

Alexander I. Bobenko;Peter Schröder;John M. Sullivan;Günter M. Ziegler.
(2008)

562 Citations

Classification of Integrable Equations on Quad-Graphs. The Consistency Approach

V.E. Adler;A.I. Bobenko;Yu.B. Suris.
Communications in Mathematical Physics (2003)

549 Citations

Discrete Differential Geometry: Integrable Structure

Alexander I. Bobenko;Yuri B. Suris.
(2008)

320 Citations

Integrable systems on quad-graphs

Alexander I. Bobenko;Yuri B. Suris.
International Mathematics Research Notices (2002)

318 Citations

All constant mean curvature tori inR3,S3,H3 in terms of theta-functions

A. I. Bobenko.
Mathematische Annalen (1991)

279 Citations

Surfaces in terms of 2 by 2 matrices. Old and new integrable cases

A. I. Bobenko.
(1994)

275 Citations

Variational principles for circle patterns and Koebe’s theorem

Alexander I. Bobenko;Boris A. Springborn.
Transactions of the American Mathematical Society (2003)

223 Citations

Geometry of multi-layer freeform structures for architecture

Helmut Pottmann;Yang Liu;Johannes Wallner;Alexander Bobenko.
international conference on computer graphics and interactive techniques (2007)

218 Citations

A Discrete Laplace–Beltrami Operator for Simplicial Surfaces

Alexander I. Bobenko;Boris A. Springborn.
Discrete and Computational Geometry (2007)

203 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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