- Home
- Best Scientists - Mathematics
- Alexander I. Bobenko

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
46
Citations
8,674
150
World Ranking
975
National Ranking
52

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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

V.E.Adler;A.I.Bobenko.

arXiv: Exactly Solvable and Integrable Systems **(2002)**

689 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)**

588 Citations

Discrete Differential Geometry

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

**(2008)**

575 Citations

Integrable systems on quad-graphs

Alexander I. Bobenko;Yuri B. Suris.

International Mathematics Research Notices **(2002)**

350 Citations

Discrete Differential Geometry: Integrable Structure

Alexander I. Bobenko;Yuri B. Suris.

**(2008)**

330 Citations

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

A. I. Bobenko.

**(1994)**

288 Citations

All constant mean curvature tori in R3, S3, H3 in terms of theta-functions

A. I. Bobenko.

Mathematische Annalen **(1991)**

285 Citations

Discrete Willmore flow

Alexander I. Bobenko;Peter Schröder.

symposium on geometry processing **(2005)**

275 Citations

Discrete isothermic surfaces.

Alexander Bobenko;Ulrich Pinkall.

**(1996)**

273 Citations

A Discrete Laplace–Beltrami Operator for Simplicial Surfaces

Alexander I. Bobenko;Boris A. Springborn.

Discrete and Computational Geometry **(2007)**

236 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of New South Wales

King Abdullah University of Science and Technology

California Institute of Technology

Indiana University – Purdue University Indianapolis

Technical University of Berlin

Graz University of Technology

Adobe Systems (United States)

Yale University

Australian National University

Microsoft Research Asia (China)

University of Montreal

Mansoura University

Indian Institute of Technology Kanpur

University of California, Davis

National Institutes of Health

University of St Andrews

Max Planck Society

Nihon University

Chinese Academy of Sciences

Michigan State University

University of Florida

University of Toronto

University of Milan

University of Chicago

Roswell Park Cancer Institute

Ben-Gurion University of the Negev

Something went wrong. Please try again later.