Udo Simon

1.9k citations
94 papers · 1.2k · h-index 19

Impact in

    • Geometric Analysis and Curvature Flows
    • Point processes and geometric inequalities
    • Algebraic and Geometric Analysis
    • Geometry and complex manifolds
    • Mathematics and Applications
    • Geometric and Algebraic Topology

Papers in

    • Geometric Analysis and Curvature Flows 55
    • Algebraic and Geometric Analysis 9
    • Point processes and geometric inequalities 5
    • Geometry and complex manifolds 30
    • Mathematics and Applications 22

Udo Simon

88 papers receiving 1.1k citations

Peers

Udo Simon
Comparison fields: 5 of 73
  • Applied Mathematics 1.0k
  • Geometry and Topology 763
  • Astronomy and Astrophysics 442
  • Theoretical Computer Science 24
  • Computational Mathematics 10
Replace Thomas E. Cecil with:
Thomas E. Cecil United States
Leopold Verstraelen Belgium
Dirk Ferus Germany
Shigeru Ishihara Japan
Harold Rosenberg France
Pascual Lucas Spain
Franz Pedit United States
Gary R. Jensen United States
Gudlaugur Thorbergsson Germany
Masatomo Takahashi Japan
Udo Simon relative to Thomas E. Cecil United States Thomas E. Cecil's profile →
Citations per field
00.5×3.3×
Thomas E. Cecil · 1×
Citations per year

Countries citing papers authored by Udo Simon

Since Specialization
Citations

This map shows the geographic impact of Udo Simon's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Udo Simon with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Udo Simon more than expected).

Fields of papers citing papers by Udo Simon

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Udo Simon. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Udo Simon. The network helps show where Udo Simon may publish in the future.

Co-authors

The 25 scholars most cited alongside Udo Simon, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Udo Simon Line = papers co-authored together Udo Simon links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 94 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Introduction to the affine differential geometry of hypersurfaces
1991114
2 1993106
3 199155
4 201552
5 198543
6 199042
7 196735
8 199631
9 197331
10 199130
11 200030
12 196928
13 200828
14 201027
15 199724
16 198322
17 199619
18 197519
19 197618
20 200418

About Udo Simon

Udo Simon is a scholar working on Applied Mathematics, Geometry and Topology, Astronomy and Astrophysics, Computational Mechanics and Biomedical Engineering, having authored 94 papers that have together received 1.2k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (55 papers), Geometry and complex manifolds (30 papers), Mathematics and Applications (22 papers), Advanced Differential Geometry Research (19 papers), Advanced Numerical Analysis Techniques (13 papers), Algebraic and Geometric Analysis (9 papers), Homotopy and Cohomology in Algebraic Topology (6 papers) and Point processes and geometric inequalities (5 papers). The work is most often cited by research in Applied Mathematics (1.0k citations), Geometry and Topology (763 citations), Astronomy and Astrophysics (442 citations), Theoretical Computer Science (24 citations) and Computational Mathematics (10 citations). Udo Simon has collaborated with scholars based in Germany, China and United States. Frequent co-authors include An-Min Li, Guosong Zhao, Luc Vrancken, Zejun Hu, Haizhong Li, Peter Gilkey, Alan Weinstein, Katsumi Nomizu, Vladimir Oliker and Robert B. Gardner. Their work appears in journals such as Results in Mathematics, Mathematische Zeitschrift, Geometriae Dedicata, Lecture notes in mathematics and Proceedings of the American Mathematical Society.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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