Michael Shapiro
About
In The Last Decade
Michael Shapiro
60 papers receiving 1.1k citations
Hit Papers
Peers
Comparison fields: 5 of 50
- Geometry and Topology 1.0k
- Algebra and Number Theory 563
- Statistical and Nonlinear Physics 470
- Mathematical Physics 420
- Discrete Mathematics and Combinatorics 371
Countries citing papers authored by Michael Shapiro
This map shows the geographic impact of Michael Shapiro'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 Shapiro with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Shapiro more than expected).
Fields of papers citing papers by Michael Shapiro
This network shows the impact of papers produced by Michael Shapiro. 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 Shapiro. The network helps show where Michael Shapiro may publish in the future.
Co-authorship network of co-authors of Michael Shapiro
This figure shows the co-authorship network connecting the top 25 collaborators of Michael Shapiro. A scholar is included among the top collaborators of Michael Shapiro 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 Shapiro. Michael Shapiro is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Title | Journal | Authors | Indexed citations |
|---|---|---|---|---|
| 1 | Noncommutative Networks on a Cylinder | Communications in Mathematical Physics | Michael Shapiro et al. | 2 |
| 2 | Introducing isodynamic points for binary forms and their ratios | Boris Shapiro, Michael Shapiro et al. | 1 | |
| 3 | Cluster algebras with Grassmann variables | arXiv (Cornell University) | Valentin Ovsienko, Michael Shapiro et al. | 8 |
| 4 | Drinfeld double of GL <sub>n</sub> and generalized cluster structures | MPG.PuRe (Max Planck Society) | Michael Shapiro, Alek Vainshtein et al. | 11 |
| 5 | Generalized cluster structure on the Drinfeld double of <i>GL</i><sub><i>n</i></sub> | Comptes Rendus Mathématique | Michael Gekhtman, Michael Shapiro et al. | 5 |
| 6 | Integrable cluster dynamics of directed networks and pentagram maps | Advances in Mathematics | Michael Gekhtman, Michael Shapiro et al. | 18 |
| 7 | Cluster algebras and triangulated orbifolds | Advances in Mathematics | Anna Felikson, Michael Shapiro et al. | 31 |
| 8 | Cluster Algebras and Poisson Geometry | Mathematical surveys and monographs | Michael Gekhtman, Michael Shapiro et al. | 120 |
| 9 | Chamber behavior of double Hurwitz numbers in genus 0 | Advances in Mathematics | Sergey Shadrin, Michael Shapiro et al. | 15 |
| 10 | Scaling in activated escape of underdamped systems | Physical Review E | M. I. Dykman, Ira B. Schwartz et al. | 19 |
| 11 | Periodic de Bruijn triangles: exact and asymptotic results | Discrete Mathematics | Boris Shapiro, Michael Shapiro et al. | 4 |
| 12 | On the Structure of the Set of Zeros of Quaternionic Polynomials | Complex Variables Theory and Application An International Journal | Michael Shapiro et al. | 52 |
| 13 | Many-particle localization by constructed disorder and quantum computing with coupled qubits | arXiv (Cornell University) | M. I. Dykman, F. M. Izrailev et al. | 0 |
| 14 | The number of connected components in double Bruhat cells for nonsimply-laced groups | Proceedings of the American Mathematical Society | Michael Gekhtman, Michael Shapiro et al. | 4 |
| 15 | On Hodge integrals and Hurwitz numbers | arXiv (Cornell University) | Torsten Ekedahl, Сергей Константинович Ландо et al. | 1 |
| 16 | On ring generated by Chern 2-forms on SL_n/B | Boris Shapiro, Michael Shapiro | 3 | |
| 17 | A Nonintegrable Sub-Riemannian Geodesic Flow on a Carnot Group | Journal of Dynamical and Control Systems | Richard Montgomery, Michael Shapiro et al. | 13 |
| 18 | On the boundary of totally positive upper triangular matrices | Linear Algebra and its Applications | Boris Shapiro, Michael Shapiro | 8 |
| 19 | Topology of the space of nondegenerate curves | Functional Analysis and Its Applications | Michael Shapiro | 2 |
| 20 | Connection between varieties of groups and varieties of Lie rings | Siberian Mathematical Journal | Michael Shapiro et al. | 1 |
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.