Richard Schoen

16.7k total citations · 3 hit papers
78 papers, 8.2k citations indexed

About

Richard Schoen is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Richard Schoen has authored 78 papers receiving a total of 8.2k indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Applied Mathematics, 31 papers in Geometry and Topology and 25 papers in Astronomy and Astrophysics. Recurrent topics in Richard Schoen's work include Geometric Analysis and Curvature Flows (48 papers), Geometry and complex manifolds (21 papers) and Advanced Differential Geometry Research (15 papers). Richard Schoen is often cited by papers focused on Geometric Analysis and Curvature Flows (48 papers), Geometry and complex manifolds (21 papers) and Advanced Differential Geometry Research (15 papers). Richard Schoen collaborates with scholars based in United States, Austria and United Kingdom. Richard Schoen's co-authors include Shing-Tung Yau, Shing Tung Yau, Shing‐Tung Yau, Karen Uhlenbeck, S.-T. Yau, Simon Brendle, Nicholas J. Korevaar, M. Gromov, Peter Li and Leon Simon and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Communications in Mathematical Physics.

In The Last Decade

Richard Schoen

78 papers receiving 7.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Conformal deformation of a Riemannian metric to constant scalar curvature

1984 698 citations Richard Schoen Journal of Differential Geometry profile →
On the proof of the positive mass conjecture in general relativity

1979 689 citations Richard Schoen, Shing-Tung Yau Communications in Mathematical Physics profile →
Lectures on Differential Geometry

1994 581 citations Richard Schoen, Shing Tung Yau profile →

Peers

Countries citing papers authored by Richard Schoen

Since Specialization

Citations

This map shows the geographic impact of Richard Schoen'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 Richard Schoen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Richard Schoen more than expected).

Fields of papers citing papers by Richard Schoen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard Schoen. 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 Richard Schoen. The network helps show where Richard Schoen may publish in the future.

Co-authorship network of co-authors of Richard Schoen

This figure shows the co-authorship network connecting the top 25 collaborators of Richard Schoen. A scholar is included among the top collaborators of Richard Schoen based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Richard Schoen. Richard Schoen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Partial Differential Equations 2020 ·Oberwolfach Reports ·Guido De Philippis, Richard Schoen, Peter M. Topping	1
2	Positive scalar curvature and minimal hypersurface singularities 2019 ·Richard Schoen, Shing‐Tung Yau	42
3	Selected expository works of Shing-Tung Yau with commentary 2014 ·Shing Tung Yau, (unknown), (unknown), (unknown), Richard Schoen	2
4	Existence and geometric structure of metrics on surfaces which extremize eigenvalues 2013 ·Bulletin of the Brazilian Mathematical Society New Series ·Richard Schoen	2
5	Eigenvalue bounds and minimal surfaces in the ball 2012 ·arXiv (Cornell University) ·Ailana Fraser, Richard Schoen	6
6	The first Steklov eigenvalue, conformal geometry, and minimal surfaces 2010 ·Advances in Mathematics ·Ailana Fraser, Richard Schoen	102
7	Curvature, Sphere Theorems, and the Ricci flow 2010 ·Bulletin of the American Mathematical Society ·Simon Brendle, Richard Schoen	17
8	On static n -body configurations in relativity 2009 ·Classical and Quantum Gravity ·Robert Beig, Richard Schoen	7
9	Recent Proofs of the Riemannian Penrose Conjecture 1999 ·Hubert L. Bray, Richard Schoen	6
10	Lectures on Harmonic Maps 1997 ·Richard Schoen, Shing Tung Yau	154
11	On the conformal and CR automorphism groups 1995 ·Geometric and Functional Analysis ·Richard Schoen	31
12	On the isoperimetric inequality for minimal surfaces 1984 ·French digital mathematics library (Numdam) ·Peter Li, Richard Schoen, Shing‐Tung Yau	21
13	Regional survey of freshwater acidification in West Germany (FRG) 1983 ·Duo Research Archive (University of Oslo) ·Richard Schoen, R. Wright, (unknown)	1
14	Uniqueness, symmetry, and embeddedness of minimal surfaces 1983 ·Journal of Differential Geometry ·Richard Schoen	245
15	Correction to: ``A regularity theory for harmonic maps'' 1983 ·Journal of Differential Geometry ·Richard Schoen, Karen Uhlenbeck	9
16	On the Gauss map of complete surfaces of constant mean curvature in R3 and R4 1982 ·Commentarii Mathematici Helvetici ·David Hoffman, Robert Osserman, Richard Schoen	39
17	Proof of the positive mass theorem. II 1981 ·Communications in Mathematical Physics ·Richard Schoen, Shing-Tung Yau	411
18	The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature 1980 ·Communications on Pure and Applied Mathematics ·(unknown), Richard Schoen	371
19	Compact group actions and the topology of manifolds with non-positive curvature 1979 ·Topology ·Richard Schoen, Shing Tung Yau	81
20	New energy technologies for buildings 1975 ·NASA STI/Recon Technical Report A ·Richard Schoen, (unknown), (unknown)	5

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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