Colin Guillarmou

1.7k total citations
58 papers, 687 citations indexed

About

Colin Guillarmou is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Colin Guillarmou has authored 58 papers receiving a total of 687 indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Mathematical Physics, 28 papers in Applied Mathematics and 20 papers in Geometry and Topology. Recurrent topics in Colin Guillarmou's work include Geometric Analysis and Curvature Flows (19 papers), Spectral Theory in Mathematical Physics (17 papers) and Mathematical Dynamics and Fractals (16 papers). Colin Guillarmou is often cited by papers focused on Geometric Analysis and Curvature Flows (19 papers), Spectral Theory in Mathematical Physics (17 papers) and Mathematical Dynamics and Fractals (16 papers). Colin Guillarmou collaborates with scholars based in France, United States and Australia. Colin Guillarmou's co-authors include Andrew Hassell, Leo Tzou, Semyon Dyatlov, Antônio Sá Barreto, Adam Sikora, Frédéric Naud, Fréderic Faure, Mikko Salo, Nicolas Burq and Günther Uhlmann and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Colin Guillarmou

51 papers receiving 633 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Colin Guillarmou France 16 538 351 165 139 127 58 687
Antônio Sá Barreto United States 13 386 0.7× 215 0.6× 66 0.4× 96 0.7× 57 0.4× 42 503
Robert McOwen United States 15 220 0.4× 498 1.4× 204 1.2× 195 1.4× 50 0.4× 30 701
Andrew Hassell Australia 19 643 1.2× 403 1.1× 82 0.5× 139 1.0× 121 1.0× 49 765
Matthias Lesch Germany 18 705 1.3× 413 1.2× 211 1.3× 166 1.2× 117 0.9× 42 841
Peter Topalov United States 14 492 0.9× 387 1.1× 255 1.5× 38 0.3× 507 4.0× 71 845
Min-Chun Hong Australia 13 324 0.6× 617 1.8× 237 1.4× 247 1.8× 26 0.2× 52 762
Dmitry Khavinson United States 17 449 0.8× 853 2.4× 368 2.2× 183 1.3× 32 0.3× 81 1.1k
Robert Carroll United States 11 279 0.5× 155 0.4× 83 0.5× 75 0.5× 282 2.2× 81 566
Paolo Piccione Brazil 15 205 0.4× 529 1.5× 354 2.1× 95 0.7× 78 0.6× 113 799
Giandomenico Orlandi Italy 11 163 0.3× 205 0.6× 67 0.4× 101 0.7× 104 0.8× 38 402

Countries citing papers authored by Colin Guillarmou

Since Specialization
Citations

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

Fields of papers citing papers by Colin Guillarmou

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Colin Guillarmou

This figure shows the co-authorship network connecting the top 25 collaborators of Colin Guillarmou. A scholar is included among the top collaborators of Colin Guillarmou 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 Colin Guillarmou. Colin Guillarmou 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.
Guillarmou, Colin, A. Kupiainen, & Rémi Rhodes. (2025). Compactified imaginary Liouville theory. HAL AMU. 5(12). 571–694.
2.
Guillarmou, Colin, et al.. (2025). Marked length spectrum rigidity for Anosov surfaces. Duke Mathematical Journal. 174(1).
3.
Guillarmou, Colin, A. Kupiainen, Rémi Rhodes, & Vincent Vargas. (2024). Conformal bootstrap in Liouville theory. Acta Mathematica. 233(1). 33–194. 5 indexed citations
4.
Guillarmou, Colin, et al.. (2021). Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. Annales Henri Poincaré. 22(11). 3565–3617. 2 indexed citations
5.
Guillarmou, Colin, et al.. (2020). X-Ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds. Annales de l’institut Fourier. 69(7). 2857–2919. 10 indexed citations
6.
Guillarmou, Colin, Matti Lassas, & Leo Tzou. (2020). X-ray Transform in Asymptotically Conic Spaces. International Mathematics Research Notices. 2022(5). 3918–3976. 3 indexed citations
7.
Guillarmou, Colin. (2016). Lens rigidity for manifolds with hyperbolic trapped sets. Journal of the American Mathematical Society. 30(2). 561–599. 22 indexed citations
8.
Guillarmou, Colin, Sergiu Moroianu, & Jean‐Marc Schlenker. (2016). THE RENORMALIZED VOLUME AND UNIFORMIZATION OF CONFORMAL STRUCTURES. Journal of the Institute of Mathematics of Jussieu. 17(4). 853–912. 7 indexed citations
9.
Guillarmou, Colin, Gabriel P. Paternain, Mikko Salo, & Günther Uhlmann. (2015). The X-Ray Transform for Connections in Negative Curvature. Communications in Mathematical Physics. 343(1). 83–127. 21 indexed citations
10.
Guillarmou, Colin, Andrew Hassell, & Adam Sikora. (2013). Resolvent at low energy III: The spectral measure. Transactions of the American Mathematical Society. 365(11). 6103–6148. 22 indexed citations
11.
Guillarmou, Colin & Andrew Hassell. (2013). Uniform Sobolev estimates for non-trapping metrics. Journal of the Institute of Mathematics of Jussieu. 13(3). 599–632. 15 indexed citations
12.
Guillarmou, Colin, et al.. (2013). Inverse Boundary Problems for Systems in Two Dimensions. Annales Henri Poincaré. 14(6). 1551–1571. 10 indexed citations
13.
Guillarmou, Colin, et al.. (2011). Conformal harmonic forms, Branson–Gover operators and Dirichlet problem at infinity. Journal of the European Mathematical Society. 13(4). 911–957. 6 indexed citations
14.
Guillarmou, Colin & Leo Tzou. (2011). Identification of a Connection from Cauchy Data on a Riemann Surface with Boundary. Geometric and Functional Analysis. 21(2). 393–418. 1 indexed citations
15.
Guillarmou, Colin & Leo Tzou. (2010). Identification of a connection from Cauchy data on a Riemann surface\n with boundary. arXiv (Cornell University). 17 indexed citations
16.
Guillarmou, Colin, Sergiu Moroianu, & Jinsung Park. (2010). Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds. Advances in Mathematics. 225(5). 2464–2516. 12 indexed citations
17.
Guillarmou, Colin. (2009). Scattering Theory on Geometrically Finite Quotients with Rational Cusps. 11(5). 129–172–129–172. 1 indexed citations
18.
Guillarmou, Colin & Laurent Guillopé. (2007). The Determinant of the Dirichlet-to-Neumann Map for Surfaces with Boundary. International Mathematics Research Notices. 16 indexed citations
19.
Guillarmou, Colin. (2005). Generalized Krein formula and determinants for Poincare-Einstein manifolds. arXiv (Cornell University). 2 indexed citations
20.
Guillarmou, Colin. (2005). Absence of resonance near the critical line on asymptotically hyperbolic spaces. Asymptotic Analysis. 42(1-2). 105–121. 7 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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