Marc Troyanov

1.8k total citations
73 papers, 872 citations indexed

About

Marc Troyanov is a scholar working on Applied Mathematics, Geometry and Topology and Materials Chemistry. According to data from OpenAlex, Marc Troyanov has authored 73 papers receiving a total of 872 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Applied Mathematics, 25 papers in Geometry and Topology and 21 papers in Materials Chemistry. Recurrent topics in Marc Troyanov's work include Geometric Analysis and Curvature Flows (31 papers), Nuclear reactor physics and engineering (20 papers) and Graphite, nuclear technology, radiation studies (15 papers). Marc Troyanov is often cited by papers focused on Geometric Analysis and Curvature Flows (31 papers), Nuclear reactor physics and engineering (20 papers) and Graphite, nuclear technology, radiation studies (15 papers). Marc Troyanov collaborates with scholars based in Switzerland, France and Israel. Marc Troyanov's co-authors include Vladimir Gol’dshtein, S. K. Vodopyanov, Vladimir S. Matveev, Athanase Papadopoulos, Th. M. Liebling, H. Clémençon, Stefano Pigola, V. I. Subbotin, Hans–Bert Rademacher and P. L. Kirillov and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Nonlinear Analysis.

In The Last Decade

Marc Troyanov

61 papers receiving 729 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Marc Troyanov Switzerland	14	580	452	205	150	122	73	872
Claus Gerhardt Germany	18	698 1.2×	309 0.7×	127 0.6×	219 1.5×	192 1.6×	41	818
Henry C. Wente United States	12	568 1.0×	208 0.5×	155 0.8×	253 1.7×	43 0.4×	25	781
William P. Minicozzi United States	23	1.5k 2.5×	1.1k 2.5×	325 1.6×	191 1.3×	260 2.1×	59	1.6k
А. В. Погорелов Russia	7	673 1.2×	496 1.1×	97 0.5×	107 0.7×	109 0.9×	32	877
Mitsuru Nakai Japan	18	658 1.1×	427 0.9×	455 2.2×	359 2.4×	62 0.5×	155	1.1k
Fabio Giannoni Italy	18	492 0.8×	213 0.5×	89 0.4×	61 0.4×	443 3.6×	96	834
Nicholas J. Korevaar United States	11	749 1.3×	429 0.9×	187 0.9×	263 1.8×	71 0.6×	15	859
Wayne Rossman Japan	13	472 0.8×	390 0.9×	71 0.3×	36 0.2×	94 0.8×	63	650
Kotaro Yamada Japan	15	883 1.5×	777 1.7×	123 0.6×	41 0.3×	202 1.7×	63	1.1k
Robert McOwen United States	15	498 0.9×	204 0.5×	220 1.1×	195 1.3×	86 0.7×	30	701

Countries citing papers authored by Marc Troyanov

Since Specialization

Citations

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

Fields of papers citing papers by Marc Troyanov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Marc Troyanov

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Bandyopadhyay, S., Bernard Dacorogna, Vladimir S. Matveev, & Marc Troyanov. (2023). Bernhard Riemann 1861 revisited: existence of flat coordinates for an arbitrary bilinear form. Mathematische Zeitschrift. 305(1). 2 indexed citations

Papadopoulos, Athanase & Marc Troyanov. (2017). Weak Finsler structures and the Funk weak metric. reroDoc Digital Library. 3 indexed citations

Pigola, Stefano, Alberto G. Setti, & Marc Troyanov. (2013). The connectivity at infinity of a manifold andLq,p-Sobolev inequalities. Expositiones Mathematicae. 32(4). 365–383. 12 indexed citations

Pigola, Stefano, Alberto G. Setti, & Marc Troyanov. (2010). The topology at infinity of a manifold supporting an $L^{q,p}$-Sobolev inequality. arXiv (Cornell University). 7 indexed citations

Gol’dshtein, Vladimir & Marc Troyanov. (2010). A Short Proof of the Hölder-Poincaré Duality for $L_p$-Cohomology. Rendiconti del Seminario Matematico della Università di Padova. 124. 179–184. 2 indexed citations

Gol’dshtein, Vladimir & Marc Troyanov. (2009). Distortion of mappings and L q, p -cohomology. Mathematische Zeitschrift. 264(2). 279–293. 5 indexed citations

Gol’dshtein, Vladimir & Marc Troyanov. (2008). On the naturality of the exterior differential. ArXiv.org. 30(1). 1–10. 1 indexed citations

Matveev, Vladimir S., Hans–Bert Rademacher, Marc Troyanov, & Abdelghani Zeghib. (2008). Conformal Lichnerowicz-Obata conjecture. 2 indexed citations

Papadopoulos, Athanase & Marc Troyanov. (2008). Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry. Expositiones Mathematicae. 27(2). 109–124. 7 indexed citations

10.

Troyanov, Marc. (2006). Piecewise flat Metrics on Surfaces and the Moduli Space. Infoscience (Ecole Polytechnique Fédérale de Lausanne). 3(2). 1602.

11.

Koskela, Pekka, et al.. (2001). Boundary behavior of quasi-regular maps and the isodiametric profile. Conformal Geometry and Dynamics of the American Mathematical Society. 5(5). 81–99. 2 indexed citations

12.

Gol’dshtein, Vladimir & Marc Troyanov. (2001). Axiomatic theory of Sobolev spaces. Expositiones Mathematicae. 19(4). 289–336. 45 indexed citations

13.

Troyanov, Marc. (1999). Parabolicity of manifolds. Siberian Advances in Mathematics. 9(4). 125–150. 44 indexed citations

14.

Troyanov, Marc. (1998). L'horizon de SOL. Expositiones Mathematicae. 16(5). 441–479. 12 indexed citations

15.

Gol’dshtein, Vladimir & Marc Troyanov. (1998). Sur la non-résolubilité du p-laplacien sur ℝn. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 326(10). 1185–1187. 2 indexed citations

16.

Subbotin, V. I., et al.. (1993). Stimulation of the development of sodium-cooled fast reactors. Atomic Energy. 74(4). 268–271. 3 indexed citations

17.

Troyanov, Marc. (1990). The present status of fast breeder reactors in the U. S. S. R. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 331(1619). 313–321. 1 indexed citations

18.

Troyanov, Marc, et al.. (1980). State of and problems in the nuclear power fuel cycle. Atomic Energy. 49(6). 797–803. 1 indexed citations

19.

Orlov, V. V., et al.. (1968). Development of nuclear power with fast-neutron reactors in the USSR. Atomic Energy. 25(5). 1193–1200. 2 indexed citations

20.

Kirillov, P. L., et al.. (1959). HEAT TRANSFER IN TUBES TO MERCURY AND TO A SODIUM-POTASSIUM ALLOY. 3 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.

Explore authors with similar magnitude of impact