Philip Boalch

1.3k total citations
17 papers, 370 citations indexed

About

Philip Boalch is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Philip Boalch has authored 17 papers receiving a total of 370 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 13 papers in Mathematical Physics and 4 papers in Statistical and Nonlinear Physics. Recurrent topics in Philip Boalch's work include Algebraic Geometry and Number Theory (12 papers), Advanced Algebra and Geometry (12 papers) and Geometry and complex manifolds (6 papers). Philip Boalch is often cited by papers focused on Algebraic Geometry and Number Theory (12 papers), Advanced Algebra and Geometry (12 papers) and Geometry and complex manifolds (6 papers). Philip Boalch collaborates with scholars based in France, Burundi and Japan. Philip Boalch's co-authors include Olivier Biquard and Daisuke Yamakawa and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Philip Boalch

15 papers receiving 348 citations

Peers

Philip Boalch

GT

MP

SNP

ANT

NHEP

Claudio Bartocci Italy

Pol Vanhaecke France

V. Rubtsov France

Nguyen Tien Zung France

Mitchell Rothstein United States

Alexei Oblomkov United States

A. Popolitov Russia

Misha Feigin United Kingdom

Viacheslav V. Nikulin Russia

Yukinobu Toda Japan

Claudio Bartocci Italy

Philip Boalch

295 ×1.0

GT

273 ×1.3

MP

136 ×0.9

SNP

97 ×1.4

ANT

82 ×1.9

NHEP

Citations per year, relative to Philip Boalch Philip Boalch (= 1×) peers Claudio Bartocci

Countries citing papers authored by Philip Boalch

Since Specialization

Citations

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

Fields of papers citing papers by Philip Boalch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Philip Boalch

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

All Works

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17 of 17 papers shown

1.

Boalch, Philip, et al.. (2025). Twisted Local Wild Mapping Class Groups: Configuration Spaces, Fission Trees and Complex Braids. Publications of the Research Institute for Mathematical Sciences. 61(3). 391–445.

2.

Boalch, Philip. (2025). Counting the fission trees and nonabelian Hodge graphs (untwisted case). Journal of Geometry and Physics. 214. 105512–105512.

3.

Boalch, Philip & Daisuke Yamakawa. (2020). Diagrams for nonabelian Hodge spaces on the affine line. Comptes Rendus Mathématique. 358(1). 59–65. 6 indexed citations

4.

Boalch, Philip, et al.. (2016). Symmetric cubic surfaces and 𝐆₂ character varieties. Journal of Algebraic Geometry. 25(4). 607–631. 2 indexed citations

5.

Boalch, Philip. (2015). Global Weyl groups and a new theory of multiplicative quiver varieties. Geometry & Topology. 19(6). 3467–3536. 9 indexed citations

6.

Boalch, Philip. (2013). Geometry and braiding of Stokes data; Fission and wild character varieties. Annals of Mathematics. 179(1). 301–365. 41 indexed citations

7.

Boalch, Philip. (2011). Riemann–Hilbert for tame complex parahoric connections. Transformation Groups. 16(1). 27–50. 21 indexed citations

8.

Boalch, Philip. (2011). Riemann–Hilbert for tame complex parahoric connections. Transformation Groups. 5 indexed citations

9.

Boalch, Philip. (2007). Quasi-Hamiltonian geometry of meromorphic connections. Duke Mathematical Journal. 139(2). 31 indexed citations

10.

Boalch, Philip. (2007). Higher Genus Icosahedral Painleve Curves. Funkcialaj Ekvacioj. 50(1). 19–32. 6 indexed citations

11.

Boalch, Philip. (2007). Regge and Okamoto Symmetries. Communications in Mathematical Physics. 276(1). 117–130. 3 indexed citations

12.

Boalch, Philip. (2006). The fifty-two icosahedral solutions to Painlevé VI. Journal für die reine und angewandte Mathematik (Crelles Journal). 2006(596). 20 indexed citations

13.

Boalch, Philip. (2004). From Klein to Painlevé via Fourier, Laplace and Jimbo. Proceedings of the London Mathematical Society. 90(1). 167–208. 59 indexed citations

14.

Boalch, Philip. (2003). The Klein solution to Painleve's sixth equation. arXiv (Cornell University). 2 indexed citations

15.

Biquard, Olivier & Philip Boalch. (2003). Wild non-abelian Hodge theory on curves. Compositio Mathematica. 140(1). 179–204. 84 indexed citations

16.

Boalch, Philip. (2002). G-bundles, isomonodromy and quantum Weyl groups. International Mathematics Research Notices. 2002(22). 1129–1129. 39 indexed citations

17.

Boalch, Philip. (2001). Stokes matrices, Poisson Lie groups and Frobenius manifolds. Inventiones mathematicae. 146(3). 479–506. 42 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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