M. Sh. Birman

3.0k total citations · 1 hit paper
56 papers, 1.6k citations indexed

About

M. Sh. Birman is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, M. Sh. Birman has authored 56 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Mathematical Physics, 26 papers in Applied Mathematics and 24 papers in Computational Theory and Mathematics. Recurrent topics in M. Sh. Birman's work include Spectral Theory in Mathematical Physics (23 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Differential Equations and Boundary Problems (19 papers). M. Sh. Birman is often cited by papers focused on Spectral Theory in Mathematical Physics (23 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Differential Equations and Boundary Problems (19 papers). M. Sh. Birman collaborates with scholars based in Russia, Sweden and Israel. M. Sh. Birman's co-authors include M. Z. Solomjak, Michael Solomyak, T. A. Suslina, Ари Лаптев, Alexander Pushnitski, D. R. Yafaev, A. M. Vershik, Stefan Hildebrandt, V. A. Solonnikov and N. N. Uraltseva and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Russian Mathematical Surveys and Journal d Analyse Mathématique.

In The Last Decade

M. Sh. Birman

56 papers receiving 1.3k citations

Hit Papers

Spectral Theory of Self-Adjoint Operators in Hilbert Space 1987 2026 2000 2013 1987 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. Spectral Theory of Self-Adjoint Operators in Hilbert Space
    1987 394 citations M. Sh. Birman, M. Z. Solomjak CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
M. Sh. Birman Russia 19 1.0k 807 517 283 199 56 1.6k
Karl Gustafson United States 20 440 0.4× 482 0.6× 427 0.8× 292 1.0× 54 0.3× 119 1.3k
Seymour Goldberg United States 17 1.1k 1.1× 807 1.0× 1.1k 2.1× 103 0.4× 63 0.3× 43 2.3k
Gilles Lebeau France 24 2.4k 2.3× 2.2k 2.8× 519 1.0× 189 0.7× 226 1.1× 88 3.3k
Jöran Bergh Sweden 8 2.0k 1.9× 595 0.7× 2.4k 4.6× 406 1.4× 197 1.0× 13 3.2k
Jean Dhombres France 9 612 0.6× 995 1.2× 1.1k 2.1× 595 2.1× 490 2.5× 46 2.3k
Jörgen Löfström Sweden 9 2.0k 2.0× 624 0.8× 2.5k 4.8× 412 1.5× 202 1.0× 16 3.3k
David Jerison United States 30 1.6k 1.6× 1.9k 2.4× 3.0k 5.9× 264 0.9× 188 0.9× 69 3.8k
Siegfried Prößdorf Germany 17 436 0.4× 371 0.5× 649 1.3× 309 1.1× 468 2.4× 50 1.5k
Heinz Langer Germany 24 1.5k 1.5× 1.1k 1.4× 909 1.8× 65 0.2× 71 0.4× 141 2.3k
D. E. Edmunds United Kingdom 18 700 0.7× 853 1.1× 1.4k 2.6× 115 0.4× 83 0.4× 105 2.0k

Countries citing papers authored by M. Sh. Birman

Since Specialization
Citations

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

Fields of papers citing papers by M. Sh. Birman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by M. Sh. Birman. 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 M. Sh. Birman. The network helps show where M. Sh. Birman may publish in the future.

Co-authorship network of co-authors of M. Sh. Birman

This figure shows the co-authorship network connecting the top 25 collaborators of M. Sh. Birman. A scholar is included among the top collaborators of M. Sh. Birman 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 M. Sh. Birman. M. Sh. Birman 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.
Birman, M. Sh., et al.. (2009). Two-sided estimates for the trace of the difference of two semigroups. Functional Analysis and Its Applications. 43(3). 184–189. 3 indexed citations
2.
Birman, M. Sh. & T. A. Suslina. (2008). The limit absorption principle and homogenization procedure for periodic elliptic operators. Functional Analysis and Its Applications. 42(4). 336–339. 1 indexed citations
3.
Birman, M. Sh.. (2007). Nonlinear Equations and Spectral Theory. 23 indexed citations
4.
Birman, M. Sh., et al.. (2001). Mikhail Semenovich Agranovich (on his 70th birthday). Russian Mathematical Surveys. 56(4). 777–784. 2 indexed citations
5.
Birman, M. Sh., et al.. (2000). Discrete spectrum in the gaps of a perturbed pseudorelativistic hamiltonian. Journal of Mathematical Sciences. 101(5). 3437–3447. 3 indexed citations
6.
Birman, M. Sh. & Alexander Pushnitski. (1998). Spectral shift function, amazing and multifaceted. Integral Equations and Operator Theory. 30(2). 191–199. 23 indexed citations
7.
Birman, M. Sh.. (1993). Wave Propagation. Scattering Theory. 1 indexed citations
8.
Birman, M. Sh. & Michael Solomyak. (1992). Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations. Journal of Mathematical Sciences. 61(2). 2018–2035. 6 indexed citations
9.
Birman, M. Sh.. (1991). The discrete spectrum in the gaps of a second-order perturbed periodic operator. Functional Analysis and Its Applications. 25(2). 158–161. 12 indexed citations
10.
Birman, M. Sh.. (1987). The maxwell operator in domains with edges. Journal of Mathematical Sciences. 37(1). 793–797. 6 indexed citations
11.
Крейн, M. Г., A. A. Nudel’man, S. G. Kreĭn, et al.. (1986). Eleven Papers in Analysis. CERN Document Server (European Organization for Nuclear Research). 1 indexed citations
12.
Birman, M. Sh. & M. Z. Solomjak. (1980). Quantitative Analysis in Sobolev Imbedding Theorems and Applications to Spectral Theory. 97 indexed citations
13.
Birman, M. Sh. & Michael Solomyak. (1980). Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains. Functional Analysis and Its Applications. 14(4). 267–274. 5 indexed citations
14.
Birman, M. Sh. & Michael Solomyak. (1979). Asymptotics of the spectrum of variational problems on solutions of elliptic equations. Siberian Mathematical Journal. 20(1). 1–15. 26 indexed citations
15.
Birman, M. Sh. & Michael Solomyak. (1979). Asymptotic behavior of the spectrum of differential equations. 12(3). 247–283. 44 indexed citations
16.
Birman, M. Sh. & M. Z. Solomjak. (1970). ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF WEAKLY POLAR INTEGRAL OPERATORS. Mathematics of the USSR-Izvestiya. 4(5). 1151–1168. 15 indexed citations
17.
Birman, M. Sh. & Michael Solomyak. (1970). Leading term in the asymptotic spectral formula for "nonsmooth" elliptic problems. Functional Analysis and Its Applications. 4(4). 265–275. 19 indexed citations
18.
Birman, M. Sh.. (1969). Spectral Theory. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations
19.
Birman, M. Sh.. (1968). A LOCAL CRITERION FOR THE EXISTENCE OF WAVE OPERATORS. Mathematics of the USSR-Izvestiya. 2(4). 879–906. 15 indexed citations
20.
Birman, M. Sh. & Vladimir Maz’ya. (1968). Linear and non-linear equations of parabolic type. USSR Computational Mathematics and Mathematical Physics. 8(5). 345–348. 2 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

Breakdown of academic impact, for papers by Karl Gustafson Breakdown of academic impact, for papers by Seymour Goldberg Breakdown of academic impact, for papers by Gilles Lebeau Breakdown of academic impact, for papers by Jöran Bergh Breakdown of academic impact, for papers by Jean Dhombres Breakdown of academic impact, for papers by Jörgen Löfström Breakdown of academic impact, for papers by David Jerison Breakdown of academic impact, for papers by Siegfried Prößdorf Breakdown of academic impact, for papers by Heinz Langer Breakdown of academic impact, for papers by D. E. Edmunds
Rankless by CCL
2026