Alexander I. Bobenko

Geometry and Topology · 2001–2010

A researcher in the Science corpus: 13 papers; trusts 14 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 23 citations into it; #1,116 of 7,422 by trust here, #1,487 by citations
• Statistical and Nonlinear Physics — 18 citations into it; #2,871 of 10,127 by trust here, #4,633 by citations
• Applied Mathematics — 11 citations into it; #4,810 of 7,620 by trust here, #5,097 by citations
• Computer Graphics and Computer-Aided Design — 10 citations into it; #993 of 1,584 by trust here, #976 by citations
• Mathematical Physics — 8 citations into it; #2,074 of 8,562 by trust here, #2,795 by citations
• Algebra and Number Theory — 7 citations into it

Whom Alexander I. Bobenko trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Boris A. Springborn
2. Ulrich Pinkall
3. Feng Luo
4. Greg Turk
5. F. Nijhoff
6. Gregory Leibon
7. Joe D. Warren
8. A. Veselov
9. Konrad Polthier
10. Peter Schröder

Who trusts Alexander I. Bobenko overall

1. Boris A. Springborn
2. David Glickenstein
3. Xianfeng David Gu
4. V. E. Adler
5. Xu Xu
6. Daniel S. D. Larsson
7. F. Nijhoff
8. Helmut Pottmann
9. Huabin Ge
10. Feng Luo

Papers from Alexander I. Bobenko's perspective

Ordered by how strongly the researchers Alexander I. Bobenko trusts endorse each paper. Same corpus, a different order for every researcher.

1. COMBINATORIAL YAMABE FLOW ON SURFACES
2. Introduction to Circle Packing: The Theory of Discrete Analytic Functions
3. Discrete Riemann Surfaces and the Ising Model
4. Integrable systems on quad-graphs
5. Conformal equivalence of triangle meshes (ACM Transactions on Graphics)
6. ALEXANDROV'S THEOREM, WEIGHTED DELAUNAY TRIANGULATIONS, AND MIXED VOLUMES
7. COMBINATORIAL RICCI FLOWS ON SURFACES
8. From angled triangulations to hyperbolic structures
9. Lectures on Dimers
10. Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope.

Their papers

• ALEXANDROV'S THEOREM, WEIGHTED DELAUNAY TRIANGULATIONS, AND MIXED VOLUMES (2006) — 101 citations
• Painleve Equations in the Differential Geometry of Surfaces (2001) — 88 citations
• Discrete Differential Geometry: Integrable Structure (2008) — 299 citations
• Geometry of the Yang-Baxter Maps: pencils of conics and quadrirational mappings (2003) — 100 citations
• Discrete conformal maps and ideal hyperbolic polyhedra (2010) — 199 citations
• A curvature theory for discrete surfaces based on mesh parallelity (2009) — 102 citations
• On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces (2008) — 59 citations
• Discrete Differential Geometry (2008) — 365 citations
• Discrete nonlinear hyperbolic equations. Classification of integrable cases (2007) — 172 citations
• Compact Riemann Surfaces (2005) — 160 citations
• Variational principles for circle patterns and Koebe’s theorem (2002) — 240 citations
• Classification of integrable equations on quad-graphs. The consistency approach (2002) — 168 citations
• Integrable systems on quad-graphs (2001) — 317 citations