Eugene Lerman

2.6k total citations
42 papers, 1.0k citations indexed

About

Eugene Lerman is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Eugene Lerman has authored 42 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Geometry and Topology, 29 papers in Mathematical Physics and 7 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Eugene Lerman's work include Geometric and Algebraic Topology (18 papers), Homotopy and Cohomology in Algebraic Topology (18 papers) and Advanced Algebra and Geometry (14 papers). Eugene Lerman is often cited by papers focused on Geometric and Algebraic Topology (18 papers), Homotopy and Cohomology in Algebraic Topology (18 papers) and Advanced Algebra and Geometry (14 papers). Eugene Lerman collaborates with scholars based in United States, Canada and Israel. Eugene Lerman's co-authors include Reyer Sjamaar, Susan Tolman, Victor Guillemin, Shlomo Sternberg, Chris Woodward, Eckhard Meinrenken, Yael Karshon, S. Sternberg, Anton Malkin and Ana Cannas da Silva and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Eugene Lerman

39 papers receiving 860 citations

Peers

Eugene Lerman

GT

MP

SNP

AM

ANT

Gerald W. Schwarz United States

A. L. Onishchik Russia

Viktor L. Ginzburg United States

Ana Cannas da Silva United States

Garth Warner United States

Klaus Hulek Germany

C. B. Thomas United Kingdom

David Fried United States

Michel Goze France

Maryam Mirzakhani United States

Gerald W. Schwarz United States

Eugene Lerman

612 ×0.8

GT

575 ×0.9

MP

148 ×0.8

SNP

132 ×0.8

AM

257 ×1.8

ANT

Citations per year, relative to Eugene Lerman Eugene Lerman (= 1×) peers Gerald W. Schwarz

Countries citing papers authored by Eugene Lerman

Since Specialization

Citations

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

Fields of papers citing papers by Eugene Lerman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Eugene Lerman

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

All Works

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20 of 20 papers shown

1.

Karshon, Yael & Eugene Lerman. (2023). Vector Fields and Flows on Subcartesian Spaces. Symmetry Integrability and Geometry Methods and Applications.

2.

Lerman, Eugene. (2018). Networks of open systems. Journal of Geometry and Physics. 130. 81–112. 5 indexed citations

3.

Collier, B., et al.. (2016). Parallel transport on principal bundles over stacks. Journal of Geometry and Physics. 107. 187–213. 2 indexed citations

4.

Karshon, Yael & Eugene Lerman. (2015). Non-Compact Symplectic Toric Manifolds. Symmetry Integrability and Geometry Methods and Applications. 17 indexed citations

5.

Lerman, Eugene & Anton Malkin. (2011). Hamiltonian group actions on symplectic Deligne–Mumford stacks and toric orbifolds. Advances in Mathematics. 229(2). 984–1000. 11 indexed citations

6.

Burns, D., Victor Guillemin, & Eugene Lerman. (2005). Toric symplectic singular spaces I: isolated singularities. Journal of Symplectic Geometry. 3(4). 531–543. 1 indexed citations

7.

Lerman, Eugene. (2004). Gradient flow of the norm squared of a moment map. arXiv (Cornell University). 51(1). 117–128. 17 indexed citations

8.

Lerman, Eugene. (2004). Homotopy groups of 𝐾-contact toric manifolds. Transactions of the American Mathematical Society. 356(10). 4075–4083. 17 indexed citations

9.

Audin, Michèle, Ana Cannas da Silva, & Eugene Lerman. (2003). Symplectic Geometry of Integrable Hamiltonian Systems. Birkhäuser Basel eBooks. 18 indexed citations

10.

Lerman, Eugene. (2003). Maximal tori in the contactomorphism groups of circle bundles over Hirzebruch surfaces. Mathematical Research Letters. 10(1). 133–144. 13 indexed citations

11.

Burns, D., Victor Guillemin, & Eugene Lerman. (2002). Kaehler cuts. arXiv (Cornell University). 1 indexed citations

12.

Lerman, Eugene & Christopher Willett. (2001). . International Mathematics Research Notices. 2001(1). 33–33. 10 indexed citations

13.

Lerman, Eugene. (2001). Contact Toric Manifolds. Journal of Symplectic Geometry. 1(4). 785–828. 79 indexed citations

14.

Lerman, Eugene, et al.. (1998). Non-abelian convexity by symplectic cuts. Topology. 37(2). 245–259. 67 indexed citations

15.

Lerman, Eugene, et al.. (1998). Stability and persistence of relative equilibria at singular values of the moment map. Nonlinearity. 11(6). 1637–1649. 26 indexed citations

16.

Lerman, Eugene, et al.. (1997). Proper group actions and symplectic stratified spaces. Pacific Journal of Mathematics. 181(2). 201–229. 55 indexed citations

17.

Guillemin, Victor, Eugene Lerman, & Shlomo Sternberg. (1996). Symplectic Fibrations and Multiplicity Diagrams. Cambridge University Press eBooks. 80 indexed citations

18.

Sjamaar, Reyer & Eugene Lerman. (1991). Stratified Symplectic Spaces and Reduction. Annals of Mathematics. 134(2). 375–375. 238 indexed citations

19.

Lerman, Eugene. (1988). How fat is a fat bundle?. Letters in Mathematical Physics. 15(4). 335–339. 7 indexed citations

20.

Guillemin, Victor, Eugene Lerman, & S. Sternberg. (1988). On the Kostant multiplicity formula. Journal of Geometry and Physics. 5(4). 721–750. 36 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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