Paul Biran

1.4k total citations
20 papers, 475 citations indexed

About

Paul Biran is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Paul Biran has authored 20 papers receiving a total of 475 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Mathematical Physics, 18 papers in Geometry and Topology and 3 papers in Applied Mathematics. Recurrent topics in Paul Biran's work include Geometric and Algebraic Topology (16 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Geometry and complex manifolds (7 papers). Paul Biran is often cited by papers focused on Geometric and Algebraic Topology (16 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Geometry and complex manifolds (7 papers). Paul Biran collaborates with scholars based in Israel, Switzerland and Canada. Paul Biran's co-authors include Octav Cornea, Leonid Polterovich, Kai Cieliebak, Dietmar Salamon and Michael Entov and has published in prestigious journals such as Inventiones mathematicae, Duke Mathematical Journal and Journal of the American Mathematical Society.

In The Last Decade

Paul Biran

19 papers receiving 423 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul Biran Israel 13 447 356 73 69 57 20 475
Octav Cornea Canada 9 292 0.7× 287 0.8× 39 0.5× 60 0.9× 74 1.3× 15 354
Charles Frohman United States 10 278 0.6× 194 0.5× 69 0.9× 64 0.9× 27 0.5× 29 302
Frédéric Paulin France 13 352 0.8× 379 1.1× 36 0.5× 143 2.1× 50 0.9× 46 451
Klaus Johannson Germany 5 380 0.9× 270 0.8× 101 1.4× 84 1.2× 74 1.3× 8 409
Jean-Pierre Otal France 13 435 1.0× 410 1.2× 71 1.0× 217 3.1× 45 0.8× 23 534
Yuli B. Rudyak United States 11 292 0.7× 284 0.8× 32 0.4× 72 1.0× 66 1.2× 33 366
Cornelia Druţu France 12 447 1.0× 409 1.1× 95 1.3× 102 1.5× 75 1.3× 23 496
Daryl Cooper United States 10 328 0.7× 261 0.7× 70 1.0× 104 1.5× 82 1.4× 27 377
D. Cooper United States 10 476 1.1× 361 1.0× 170 2.3× 65 0.9× 91 1.6× 23 505
Ivan Babenko Russia 11 293 0.7× 258 0.7× 41 0.6× 117 1.7× 44 0.8× 44 372

Countries citing papers authored by Paul Biran

Since Specialization
Citations

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

Fields of papers citing papers by Paul Biran

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Biran

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Biran. A scholar is included among the top collaborators of Paul Biran 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 Paul Biran. Paul Biran 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.
Biran, Paul, et al.. (2024). Persistence $K$-theory.
2.
Biran, Paul & Octav Cornea. (2022). Bounds on the Lagrangian spectral metric in cotangent bundles. Commentarii Mathematici Helvetici. 96(4). 631–691. 3 indexed citations
3.
Biran, Paul & Octav Cornea. (2021). A Lagrangian pictionary. Kyoto journal of mathematics. 61(2). 1 indexed citations
4.
Biran, Paul & Octav Cornea. (2017). Cone-decompositions of Lagrangian cobordisms in Lefschetz fibrations. Selecta Mathematica. 23(4). 2635–2704. 8 indexed citations
5.
Biran, Paul, et al.. (2015). The Lagrangian Cubic Equation. International Mathematics Research Notices. 2016(9). 2569–2631. 2 indexed citations
6.
Biran, Paul & Octav Cornea. (2014). Lagrangian cobordism and Fukaya categories. Geometric and Functional Analysis. 24(6). 1731–1830. 21 indexed citations
7.
Biran, Paul & Octav Cornea. (2012). Lagrangian cobordism. I. Journal of the American Mathematical Society. 26(2). 295–340. 26 indexed citations
8.
Biran, Paul & Octav Cornea. (2009). Rigidity and uniruling for Lagrangian submanifolds. Geometry & Topology. 13(5). 2881–2989. 58 indexed citations
9.
Biran, Paul. (2006). Lagrangian non-intersections. Geometric and Functional Analysis. 16(2). 279–326. 26 indexed citations
10.
Biran, Paul, et al.. (2005). Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology. Kluwer Academic Publishers eBooks. 31 indexed citations
11.
Biran, Paul, Michael Entov, & Leonid Polterovich. (2004). CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL. Communications in Contemporary Mathematics. 6(5). 793–802. 41 indexed citations
12.
Biran, Paul, Leonid Polterovich, & Dietmar Salamon. (2003). Propagation in Hamiltonian dynamics and relative symplectic homology. Duke Mathematical Journal. 119(1). 47 indexed citations
13.
Biran, Paul & Kai Cieliebak. (2002). Lagrangian embeddings into subcritical Stein manifolds. Israel Journal of Mathematics. 127(1). 221–244. 18 indexed citations
14.
Biran, Paul. (2001). Lagrangian barriers and symplectic embeddings. Geometric and Functional Analysis. 11(3). 407–464. 49 indexed citations
15.
Biran, Paul & Kai Cieliebak. (2001). Symplectic topology on subcritical manifolds. Commentarii Mathematici Helvetici. 76(4). 712–753. 35 indexed citations
16.
Biran, Paul. (1999). A stability property of symplectic packing. Inventiones mathematicae. 136(1). 123–155. 36 indexed citations
17.
Biran, Paul. (1999). Constructing new ample divisors out of old ones. Duke Mathematical Journal. 98(1). 25 indexed citations
18.
Biran, Paul. (1997). Symplectic Packing in Dimension 4. Geometric and Functional Analysis. 7(3). 420–437. 32 indexed citations
19.
Biran, Paul. (1996). . International Mathematics Research Notices. 1996(10). 487–487. 12 indexed citations
20.
Biran, Paul. (1996). Symplectic packing in dimension 4. 4 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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