Serge Richard

554 total citations
26 papers, 187 citations indexed

About

Serge Richard is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Serge Richard has authored 26 papers receiving a total of 187 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Mathematical Physics, 8 papers in Computational Theory and Mathematics and 7 papers in Applied Mathematics. Recurrent topics in Serge Richard's work include Spectral Theory in Mathematical Physics (20 papers), Numerical methods in inverse problems (11 papers) and Quantum chaos and dynamical systems (6 papers). Serge Richard is often cited by papers focused on Spectral Theory in Mathematical Physics (20 papers), Numerical methods in inverse problems (11 papers) and Quantum chaos and dynamical systems (6 papers). Serge Richard collaborates with scholars based in France, Chile and Japan. Serge Richard's co-authors include Johannes Kellendonk, Konstantin Pankrashkin, Marius Măntoiu, Radu Purice, Takemasa Miyoshi, Thanh D. Nguyen, Adam Rennie and Hoài-Minh Nguyên and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Mathematical Physics and Journal of Computational and Applied Mathematics.

In The Last Decade

Serge Richard

23 papers receiving 180 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Serge Richard France 10 132 58 49 41 29 26 187
Jean-Marie Barbaroux France 8 156 1.2× 111 1.9× 124 2.5× 25 0.6× 26 0.9× 31 236
H. T. Yau United States 12 236 1.8× 26 0.4× 79 1.6× 76 1.9× 44 1.5× 13 365
J. G. Wan Australia 10 46 0.3× 28 0.5× 22 0.4× 77 1.9× 16 0.6× 18 254
Jean-Luc Sauvageot France 9 162 1.2× 44 0.8× 47 1.0× 42 1.0× 25 0.9× 26 221
Irina Nenciu United States 6 113 0.9× 28 0.5× 80 1.6× 44 1.1× 34 1.2× 12 213
Eli Hawkins United States 7 85 0.6× 55 0.9× 97 2.0× 26 0.6× 5 0.2× 12 189
Spyridon Kamvissis Greece 10 213 1.6× 78 1.3× 286 5.8× 46 1.1× 20 0.7× 21 360
Андрей Борисович Богатырев Russia 9 55 0.4× 26 0.4× 35 0.7× 81 2.0× 54 1.9× 46 230
Raphael Ho egh-Krohn Norway 6 167 1.3× 93 1.6× 86 1.8× 40 1.0× 52 1.8× 8 251
Paul Loya United States 10 176 1.3× 26 0.4× 25 0.5× 140 3.4× 51 1.8× 32 242

Countries citing papers authored by Serge Richard

Since Specialization
Citations

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

Fields of papers citing papers by Serge Richard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Serge Richard

This figure shows the co-authorship network connecting the top 25 collaborators of Serge Richard. A scholar is included among the top collaborators of Serge Richard 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 Serge Richard. Serge Richard 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.
Nguyen, Thanh D., et al.. (2024). Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!. Journal of Spectral Theory. 14(3). 991–1031. 2 indexed citations
2.
Miyoshi, Takemasa, et al.. (2022). Analysis of COVID-19 in Japan with extended SEIR model and ensemble Kalman filter. Journal of Computational and Applied Mathematics. 419. 114772–114772. 14 indexed citations
3.
Richard, Serge, et al.. (2020). Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Journal of Noncommutative Geometry. 13(4). 1359–1380. 2 indexed citations
4.
Richard, Serge, et al.. (2016). Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. Bulletin de la Société mathématique de France. 144(2). 251–277. 3 indexed citations
5.
Pankrashkin, Konstantin & Serge Richard. (2014). One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results. Journal of Mathematical Physics. 55(6). 20 indexed citations
6.
Richard, Serge, et al.. (2013). A few results on Mourre theory in a two-Hilbert spaces setting. Analysis and Mathematical Physics. 3(2). 183–200. 4 indexed citations
7.
Richard, Serge, et al.. (2013). SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS. Reviews in Mathematical Physics. 25(2). 1350003–1350003. 5 indexed citations
8.
Richard, Serge, et al.. (2013). Explicit formulas for the Schrödinger wave operators in R 2 . Comptes Rendus Mathématique. 351(5-6). 209–214. 5 indexed citations
9.
Richard, Serge, et al.. (2013). Commutator methods for unitary operators. Journal of Spectral Theory. 3(3). 271–292. 11 indexed citations
10.
Richard, Serge, et al.. (2011). Time delay is a common feature of quantum scattering theory. Journal of Mathematical Analysis and Applications. 387(2). 618–630. 6 indexed citations
11.
Kellendonk, Johannes, Konstantin Pankrashkin, & Serge Richard. (2011). Levinson's theorem and higher degree traces for Aharonov-Bohm operators. Journal of Mathematical Physics. 52(5). 6 indexed citations
12.
Pankrashkin, Konstantin & Serge Richard. (2011). SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS. Reviews in Mathematical Physics. 23(1). 53–81. 18 indexed citations
13.
Măntoiu, Marius, et al.. (2010). Magnetic Pseudodifferential Operators with Coefficients in $C^*$-Algebras. Publications of the Research Institute for Mathematical Sciences. 46(4). 755–788.
14.
Richard, Serge, et al.. (2010). New Formulae for the Wave Operators for a Rank One Interaction. Integral Equations and Operator Theory. 66(2). 283–292. 10 indexed citations
15.
Kellendonk, Johannes & Serge Richard. (2008). The topological meaning of Levinson's theorem, half-bound states included. Journal of Physics A Mathematical and Theoretical. 41(29). 295207–295207. 9 indexed citations
16.
Kellendonk, Johannes & Serge Richard. (2008). Weber–Schafheitlin-type integrals with exponent 1. Integral Transforms and Special Functions. 20(2). 147–153. 11 indexed citations
17.
Richard, Serge, et al.. (2007). On the spectrum of magnetic Dirac operators with Coulomb-type perturbations. Journal of Functional Analysis. 250(2). 625–641. 7 indexed citations
18.
Măntoiu, Marius, Radu Purice, & Serge Richard. (2007). Spectral and propagation results for magnetic Schrödinger operators; A C∗-algebraic framework. Journal of Functional Analysis. 250(1). 42–67. 18 indexed citations
19.
Măntoiu, Marius, Radu Purice, & Serge Richard. (2006). On the essential spectrum of magnetic pseudodifferential operators. Comptes Rendus Mathématique. 344(1). 11–14.
20.
Kellendonk, Johannes & Serge Richard. (2006). Levinson's theorem for Schrödinger operators with point interaction: a topological approach. Journal of Physics A Mathematical and General. 39(46). 14397–14403. 16 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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