Peter M. Topping

1.6k total citations
45 papers, 756 citations indexed

About

Peter M. Topping is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Peter M. Topping has authored 45 papers receiving a total of 756 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Applied Mathematics, 34 papers in Geometry and Topology and 14 papers in Astronomy and Astrophysics. Recurrent topics in Peter M. Topping's work include Geometric Analysis and Curvature Flows (39 papers), Geometry and complex manifolds (30 papers) and Advanced Differential Geometry Research (14 papers). Peter M. Topping is often cited by papers focused on Geometric Analysis and Curvature Flows (39 papers), Geometry and complex manifolds (30 papers) and Advanced Differential Geometry Research (14 papers). Peter M. Topping collaborates with scholars based in United Kingdom, Germany and United States. Peter M. Topping's co-authors include Reto Müller, Robert J. McCann, Camillo De Lellis, Ben Sharp, Miles Simon, Dan Knopf, Klaus Ecker, Lei Ni, Andrew McLeod and Hao Yin and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Peter M. Topping

39 papers receiving 692 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Peter M. Topping United Kingdom 17 687 501 259 121 87 45 756
Rugang Ye United States 10 496 0.7× 388 0.8× 107 0.4× 134 1.1× 101 1.2× 18 589
Nataša Šešum United States 15 658 1.0× 563 1.1× 292 1.1× 66 0.5× 49 0.6× 39 676
Paul Baird France 15 760 1.1× 617 1.2× 339 1.3× 109 0.9× 79 0.9× 48 831
Andrea Mondino United Kingdom 14 594 0.9× 327 0.7× 189 0.7× 94 0.8× 61 0.7× 50 643
Hajime Urakawa Japan 16 556 0.8× 476 1.0× 193 0.7× 171 1.4× 101 1.2× 83 696
Alberto G. Setti Italy 16 871 1.3× 482 1.0× 236 0.9× 213 1.8× 239 2.7× 57 927
Sharief Deshmukh Saudi Arabia 15 678 1.0× 511 1.0× 503 1.9× 37 0.3× 26 0.3× 124 756
Aurel Bejancu Kuwait 13 927 1.3× 721 1.4× 681 2.6× 48 0.4× 35 0.4× 55 1.2k
Mircea Crâşmăreanu Romania 13 566 0.8× 463 0.9× 391 1.5× 48 0.4× 49 0.6× 86 718
Irina Markina Norway 12 281 0.4× 170 0.3× 99 0.4× 105 0.9× 28 0.3× 52 349

Countries citing papers authored by Peter M. Topping

Since Specialization
Citations

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

Fields of papers citing papers by Peter M. Topping

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter M. Topping. 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 Peter M. Topping. The network helps show where Peter M. Topping may publish in the future.

Co-authorship network of co-authors of Peter M. Topping

This figure shows the co-authorship network connecting the top 25 collaborators of Peter M. Topping. A scholar is included among the top collaborators of Peter M. Topping 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 Peter M. Topping. Peter M. Topping is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Topping, Peter M., et al.. (2025). Three-manifolds with non-negatively pinched Ricci curvature. Journal of Differential Geometry. 131(3).
2.
Philippis, Guido De, Richard Schoen, & Peter M. Topping. (2020). Partial Differential Equations. Oberwolfach Reports. 16(3). 2033–2097. 1 indexed citations
3.
Fraser, Ailana, André Neves, Peter M. Topping, & Paul Yang. (2020). Geometric Analysis. Lecture notes in mathematics. 2 indexed citations
4.
Topping, Peter M. & Hao Yin. (2017). Sharp Decay Estimates for the Logarithmic Fast Diffusion Equation and the Ricci Flow on Surfaces. PubMed. 3(1). 6–6. 3 indexed citations
5.
Topping, Peter M., et al.. (2016). Refined asymptotics of the Teichmüller harmonic map flow into general targets. Calculus of Variations and Partial Differential Equations. 55(4). 85–85. 2 indexed citations
6.
Topping, Peter M., et al.. (2016). Ricci flows with bursts of unbounded curvature. Communications in Partial Differential Equations. 41(5). 854–876. 6 indexed citations
7.
Topping, Peter M., et al.. (2012). The canonical expanding soliton and Harnack inequalities for Ricci flow. Transactions of the American Mathematical Society. 364(6). 3001–3021. 3 indexed citations
8.
Sharp, Ben & Peter M. Topping. (2012). Decay estimates for Rivière’s equation, with applications to regularity and compactness. Transactions of the American Mathematical Society. 365(5). 2317–2339. 23 indexed citations
9.
Topping, Peter M., et al.. (2011). The canonical shrinking soliton associated to a Ricci flow. Calculus of Variations and Partial Differential Equations. 43(1-2). 173–184. 2 indexed citations
10.
Müller, Reto, et al.. (2011). On Type-I singularities in Ricci flow. Communications in Analysis and Geometry. 19(5). 905–922. 68 indexed citations
11.
Topping, Peter M., et al.. (2011). Existence of Ricci Flows of Incomplete Surfaces. Communications in Partial Differential Equations. 36(10). 1860–1880. 34 indexed citations
12.
Topping, Peter M.. (2010). Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics. Journal of the European Mathematical Society. 12(6). 1429–1451. 32 indexed citations
13.
Topping, Peter M.. (2008). Relating diameter and mean curvature for submanifolds of Euclidean space. Commentarii Mathematici Helvetici. 83(3). 539–546. 44 indexed citations
14.
Topping, Peter M.. (2004). Winding behaviour of finite-time singularities of the harmonic map heat flow *. Mathematische Zeitschrift. 247(2). 279–302. 24 indexed citations
15.
Topping, Peter M.. (2004). Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow. Annals of Mathematics. 159(2). 465–534. 36 indexed citations
16.
Topping, Peter M.. (1999). The isoperimetric inequality on a surface. manuscripta mathematica. 100(1). 23–33. 14 indexed citations
17.
Topping, Peter M.. (1998). Mean curvature flow and geometric inequalities. Journal für die reine und angewandte Mathematik (Crelles Journal). 1998(503). 47–61. 43 indexed citations
18.
Topping, Peter M.. (1997). The optimal constant in Wente's $L^∞$ estimate. Commentarii Mathematici Helvetici. 72(2). 316–328. 28 indexed citations
19.
20.
Topping, Peter M.. (1957). Ostrogorskij (Georges). Pour l'histoire de la féodalité byzantine.. Revue belge de philologie et d histoire. 35(2). 453–456. 1 indexed citations

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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