Michael F. Singer

4.4k total citations
89 papers, 2.3k citations indexed

About

Michael F. Singer is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Michael F. Singer has authored 89 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Computational Theory and Mathematics, 49 papers in Geometry and Topology and 21 papers in Mathematical Physics. Recurrent topics in Michael F. Singer's work include Polynomial and algebraic computation (44 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Algebraic Geometry and Number Theory (24 papers). Michael F. Singer is often cited by papers focused on Polynomial and algebraic computation (44 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Algebraic Geometry and Number Theory (24 papers). Michael F. Singer collaborates with scholars based in United States, France and China. Michael F. Singer's co-authors include Marius van der Put, Félix Ulmer, Marek Karpiński, Charlotte Hardouin, Dima Grigoriev, Lee A. Rubel, Shaoshi Chen, Stephen Schecter, B. F. Caviness and B. David Saunders and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and SIAM Journal on Computing.

In The Last Decade

Michael F. Singer

85 papers receiving 2.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael F. Singer United States 24 1.3k 1.2k 760 394 388 89 2.3k
David A. Cox United States 15 1.0k 0.8× 1.0k 0.9× 165 0.2× 599 1.5× 342 0.9× 48 2.3k
Marius van der Put Netherlands 17 964 0.8× 562 0.5× 266 0.3× 379 1.0× 632 1.6× 91 1.4k
Hans Zassenhaus United States 24 1.1k 0.9× 658 0.5× 664 0.9× 917 2.3× 606 1.6× 122 3.0k
J. M. Landsberg United States 22 633 0.5× 578 0.5× 203 0.3× 307 0.8× 290 0.7× 80 1.6k
Wolfgang M. Schmidt United States 28 1.2k 0.9× 664 0.5× 241 0.3× 766 1.9× 1.2k 3.0× 146 2.4k
Igor R. Shafarevich Russia 18 1.2k 0.9× 578 0.5× 167 0.2× 454 1.2× 625 1.6× 61 1.9k
Gert–Martin Greuel Germany 19 1.6k 1.2× 1.0k 0.8× 208 0.3× 1.0k 2.6× 531 1.4× 67 2.4k
Konrad Schmüdgen Germany 16 710 0.6× 530 0.4× 376 0.5× 792 2.0× 1.1k 2.9× 70 2.0k
Andrzej Schinzel Poland 21 970 0.8× 452 0.4× 356 0.5× 755 1.9× 433 1.1× 170 2.3k
Gerhard Pfister Germany 16 1.1k 0.8× 946 0.8× 152 0.2× 797 2.0× 294 0.8× 77 1.9k

Countries citing papers authored by Michael F. Singer

Since Specialization
Citations

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

Fields of papers citing papers by Michael F. Singer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael F. Singer. 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 Michael F. Singer. The network helps show where Michael F. Singer may publish in the future.

Co-authorship network of co-authors of Michael F. Singer

This figure shows the co-authorship network connecting the top 25 collaborators of Michael F. Singer. A scholar is included among the top collaborators of Michael F. Singer 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 Michael F. Singer. Michael F. Singer 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.
Chen, Shaoshi, et al.. (2024). Telescopers for differential forms with one parameter. Selecta Mathematica. 30(3).
2.
Schäfke, Reinhard & Michael F. Singer. (2019). Consistent systems of linear differential and difference equations. Journal of the European Mathematical Society. 21(9). 2751–2792. 1 indexed citations
3.
Singer, Michael F., et al.. (2017). Galois groups for integrable and projectively integrable linear difference equations. Journal of Algebra. 480. 423–449. 6 indexed citations
4.
Hardouin, Charlotte, et al.. (2016). Galois Theories of Linear Difference Equations: An Introduction. Mathematical surveys and monographs. 5 indexed citations
5.
Chen, Shaoshi & Michael F. Singer. (2012). Residues and telescopers for bivariate rational functions. Advances in Applied Mathematics. 49(2). 111–133. 19 indexed citations
6.
Singer, Michael F., et al.. (2002). Linear Differential Operators for Polynomial Equations. Journal of Symbolic Computation. 34(5). 355–398. 16 indexed citations
7.
Singer, Michael F. & Félix Ulmer. (1997). Linear differential equations and products of linear forms. Journal of Pure and Applied Algebra. 117-118. 549–563. 14 indexed citations
8.
Singer, Michael F.. (1992). Liouvillian first integrals of differential equations. Transactions of the American Mathematical Society. 333(2). 673–688. 202 indexed citations
9.
Singer, Michael F.. (1991). Differential Equations and Computer Algebra. 19 indexed citations
10.
Singer, Michael F.. (1991). Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients. Journal of Symbolic Computation. 11(3). 251–273. 51 indexed citations
11.
Grigoriev, Dima, Marek Karpiński, & Michael F. Singer. (1991). The interpolation problem for k-sparse sums of eigenfunctions of operators. Advances in Applied Mathematics. 12(1). 76–81. 15 indexed citations
12.
Singer, Michael F.. (1990). Formal solutions of differential equations. Journal of Symbolic Computation. 10(1). 59–94. 25 indexed citations
13.
Singer, Michael F.. (1986). Algebraic Relations Among Solutions of Linear Differential Equations. Transactions of the American Mathematical Society. 295(2). 753–753. 5 indexed citations
14.
Rubel, Lee A. & Michael F. Singer. (1985). A Differentially Algebraic Elimination Theorem with Application to Analog Computability in the Calculus of Variations. Proceedings of the American Mathematical Society. 94(4). 653–653. 5 indexed citations
15.
Singer, Michael F., et al.. (1983). Elementary First Integrals of Differential Equations. Transactions of the American Mathematical Society. 279(1). 215–215. 34 indexed citations
16.
Singer, Michael F., et al.. (1983). Elementary first integrals of differential equations. Transactions of the American Mathematical Society. 279(1). 215–215. 192 indexed citations
17.
Schecter, Stephen & Michael F. Singer. (1980). Planar polynomial foliations. Proceedings of the American Mathematical Society. 79(4). 649–656. 13 indexed citations
18.
Schecter, Stephen & Michael F. Singer. (1980). Planar Polynomial Foliations. Proceedings of the American Mathematical Society. 79(4). 649–649. 9 indexed citations
19.
Singer, Michael F.. (1978). A Class of Differential Fields with Minimal Differential Closures. Proceedings of the American Mathematical Society. 69(2). 319–319. 2 indexed citations
20.
Singer, Michael F.. (1978). A class of differential fields with minimal differential closures. Proceedings of the American Mathematical Society. 69(2). 319–322. 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

Breakdown of academic impact, for papers by David A. Cox Breakdown of academic impact, for papers by Marius van der Put Breakdown of academic impact, for papers by Hans Zassenhaus Breakdown of academic impact, for papers by J. M. Landsberg Breakdown of academic impact, for papers by Wolfgang M. Schmidt Breakdown of academic impact, for papers by Igor R. Shafarevich Breakdown of academic impact, for papers by Gert–Martin Greuel Breakdown of academic impact, for papers by Konrad Schmüdgen Breakdown of academic impact, for papers by Andrzej Schinzel Breakdown of academic impact, for papers by Gerhard Pfister
Rankless by CCL
2026