Paul Tod

1.7k total citations · 1 hit paper
46 papers, 981 citations indexed

About

Paul Tod is a scholar working on Astronomy and Astrophysics, Nuclear and High Energy Physics and Applied Mathematics. According to data from OpenAlex, Paul Tod has authored 46 papers receiving a total of 981 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Astronomy and Astrophysics, 25 papers in Nuclear and High Energy Physics and 16 papers in Applied Mathematics. Recurrent topics in Paul Tod's work include Black Holes and Theoretical Physics (25 papers), Cosmology and Gravitation Theories (23 papers) and Advanced Differential Geometry Research (14 papers). Paul Tod is often cited by papers focused on Black Holes and Theoretical Physics (25 papers), Cosmology and Gravitation Theories (23 papers) and Advanced Differential Geometry Research (14 papers). Paul Tod collaborates with scholars based in United Kingdom, France and Slovakia. Paul Tod's co-authors include Irene M. Moroz, Roger Penrose, Maciej Dunajski, Piotr T. Chruściel, Michael Eastwood, Harvey S. Reall, David M. J. Calderbank, Henrik Pedersen, Gary T. Horowitz and László B. Szabados and has published in prestigious journals such as Journal of High Energy Physics, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

Paul Tod

42 papers receiving 914 citations

Hit Papers

Spherically-symmetric solutions of the Schrödinger-Newton... 1998 2026 2007 2016 1998 100 200 300
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.

  1. Spherically-symmetric solutions of the Schrödinger-Newton equations
    1998 304 citations Irene M. Moroz, Roger Penrose et al. Classical and Quantum Gravity profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul Tod United Kingdom 17 457 421 377 303 293 46 981
N M J Woodhouse United Kingdom 12 267 0.6× 407 1.0× 139 0.4× 259 0.9× 510 1.7× 29 930
G. Sardanashvily Russia 16 462 1.0× 486 1.2× 114 0.3× 284 0.9× 573 2.0× 84 1.0k
R. G. McLenaghan Canada 19 760 1.7× 753 1.8× 210 0.6× 97 0.3× 583 2.0× 80 1.2k
Mark J. Gotay United States 18 248 0.5× 298 0.7× 129 0.3× 359 1.2× 464 1.6× 39 965
Felix Finster Germany 16 382 0.8× 502 1.2× 156 0.4× 225 0.7× 396 1.4× 96 852
Steven Shnider Canada 17 199 0.4× 387 0.9× 267 0.7× 242 0.8× 404 1.4× 54 1.0k
Matilde Marcolli United States 16 184 0.4× 371 0.9× 92 0.2× 633 2.1× 470 1.6× 104 1.1k
Kazuhiro Sakai Japan 19 207 0.5× 510 1.2× 68 0.2× 565 1.9× 489 1.7× 66 1.1k
Thomas Branson United States 21 358 0.8× 339 0.8× 1.3k 3.4× 696 2.3× 228 0.8× 74 1.7k
Robert Bartnik Australia 13 1.0k 2.2× 889 2.1× 770 2.0× 222 0.7× 252 0.9× 27 1.5k

Countries citing papers authored by Paul Tod

Since Specialization
Citations

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

Fields of papers citing papers by Paul Tod

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Tod

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Tod. A scholar is included among the top collaborators of Paul Tod 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 Paul Tod. Paul Tod 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.
2.
Dunajski, Maciej & Paul Tod. (2024). Twistor theory of the Chen–Teo gravitational instanton*. Classical and Quantum Gravity. 41(19). 195008–195008.
3.
Tod, Paul. (2024). Conformal methods in mathematical cosmology. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 382(2267). 20230043–20230043.
4.
Lee, Ho, et al.. (2019). The massless Einstein–Boltzmann system with a conformal gauge singularity in an FLRW background. Classical and Quantum Gravity. 37(3). 35005–35005. 5 indexed citations
5.
Dunajski, Maciej & Paul Tod. (2019). Conformally isometric embeddings and Hawking temperature. Apollo (University of Cambridge). 4 indexed citations
6.
Chruściel, Piotr T., et al.. (2017). Towards a classification of vacuum near-horizons geometries. Classical and Quantum Gravity. 35(1). 15002–15002. 7 indexed citations
7.
Tod, Paul. (2015). The equations of Conformal Cyclic Cosmology. General Relativity and Gravitation. 47(3). 20 indexed citations
8.
Tod, Paul. (2012). Some examples of the behaviour of conformal geodesics. Journal of Geometry and Physics. 62(8). 1778–1792. 7 indexed citations
9.
Tod, Paul, et al.. (2011). 宇宙論的Einstein-MaxwellインスタントンおよびEuclidean型超対称性: 反自己双対ソリューション. Classical and Quantum Gravity. 28(2). 1–25007. 2 indexed citations
10.
Dunajski, Maciej, J. Gutowski, W.A. Sabra, & Paul Tod. (2010). Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry. Part I: Anti-Self-Dual Solutions. arXiv (Cornell University). 2 indexed citations
11.
Chruściel, Piotr T. & Paul Tod. (2009). An angular momentum bound at null infinity. Advances in Theoretical and Mathematical Physics. 13(5). 1317–1334. 4 indexed citations
12.
Mena, Filipe C., José Natário, & Paul Tod. (2008). Gravitational Collapse to Toroidal and Higher Genus asymptotically AdS Black Holes. Advances in Theoretical and Mathematical Physics. 12(5). 1163–1181. 5 indexed citations
13.
Tod, Paul. (2007). Isotropic cosmological singularities in spatially homogeneous models with a cosmological constant. Classical and Quantum Gravity. 24(9). 2415–2432. 11 indexed citations
14.
Chruściel, Piotr T., et al.. (2006). Rigid upper bounds for the angular momentum and centre of mass. Journal of High Energy Physics. 2006(11). 1 indexed citations
15.
Chruściel, Piotr T., et al.. (2006). Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times. Journal of High Energy Physics. 2006(11). 84–84. 24 indexed citations
16.
Dunajski, Maciej & Paul Tod. (2002). Einstein–Weyl spaces and dispersionless Kadomtsev–Petviashvili equation from Painlevé I and II. Physics Letters A. 303(4). 253–264. 17 indexed citations
17.
Calderbank, David M. J. & Paul Tod. (2001). Einstein metrics, hypercomplex structures and the Toda field equation. Differential Geometry and its Applications. 14(2). 199–208. 30 indexed citations
18.
Pedersen, Henrik & Paul Tod. (1999). The Ledger curvature conditions and D'Atri geometry. Differential Geometry and its Applications. 11(2). 155–162. 19 indexed citations
19.
Moroz, Irene M., Roger Penrose, & Paul Tod. (1998). Spherically-symmetric solutions of the Schrödinger-Newton equations. Classical and Quantum Gravity. 15(9). 2733–2742. 304 indexed citations breakdown →
20.
Horowitz, Gary T. & Paul Tod. (1982). A relation between local and total energy in general relativity. Communications in Mathematical Physics. 85(3). 429–447. 24 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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