Joan Porti

1.5k total citations
38 papers, 496 citations indexed

About

Joan Porti is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Joan Porti has authored 38 papers receiving a total of 496 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Geometry and Topology, 32 papers in Mathematical Physics and 14 papers in Applied Mathematics. Recurrent topics in Joan Porti's work include Geometric and Algebraic Topology (36 papers), Homotopy and Cohomology in Algebraic Topology (22 papers) and Geometric Analysis and Curvature Flows (12 papers). Joan Porti is often cited by papers focused on Geometric and Algebraic Topology (36 papers), Homotopy and Cohomology in Algebraic Topology (22 papers) and Geometric Analysis and Curvature Flows (12 papers). Joan Porti collaborates with scholars based in Spain, France and Germany. Joan Porti's co-authors include Bernhard Leeb, Michel Boileau, Michael Kapovich, Laurent Bessières, Gérard Besson, Warren Dicks, Vicente Muñoz, Roger C. Alperin and Stefano Francaviglia and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Joan Porti

32 papers receiving 452 citations

Peers

Joan Porti

GT

MP

AM

DMC

CTM

Ian Hambleton Canada

Daniel Ruberman United States

Darryl McCullough United States

Daryl Cooper United States

Octav Cornea Canada

Jean-Pierre Otal France

Danny Calegari United States

Ian Agol United States

Bernhard Leeb Germany

Domingo Toledo United States

Ian Hambleton Canada

Joan Porti

601 ×1.3

GT

555 ×1.5

MP

93 ×0.7

AM

127 ×1.5

DMC

76 ×1.3

CTM

Citations per year, relative to Joan Porti Joan Porti (= 1×) peers Ian Hambleton

Countries citing papers authored by Joan Porti

Since Specialization

Citations

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

Fields of papers citing papers by Joan Porti

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Joan Porti

This figure shows the co-authorship network connecting the top 25 collaborators of Joan Porti. A scholar is included among the top collaborators of Joan Porti 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 Joan Porti. Joan Porti 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.

Kapovich, Michael, Bernhard Leeb, & Joan Porti. (2025). Morse actions of discrete groups on symmetric spaces: local-to-global principle. Geometry & Topology. 29(5). 2343–2390.

2.

Porti, Joan, et al.. (2023). The scheme of characters in SL₂. Transactions of the American Mathematical Society. 376(9). 6283–6313. 1 indexed citations

3.

Porti, Joan, et al.. (2022). Asymptotics of twisted Alexander polynomials and hyperbolic volume. Indiana University Mathematics Journal. 71(3). 1155–1207. 2 indexed citations

4.

Porti, Joan. (2022). Dimension of representation and character varieties for two- and three-orbifolds. Algebraic & Geometric Topology. 22(4). 1905–1967.

5.

Porti, Joan, et al.. (2019). Asymptotics of twisted Alexander polynomials and hyperbolic volume. arXiv (Cornell University). 1 indexed citations

6.

Boileau, Michel & Joan Porti. (2018). Geometrization of 3-orbifolds of cyclic type. Astérisque. 3 indexed citations

7.

Kapovich, Michael, Bernhard Leeb, & Joan Porti. (2018). A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings. Geometry & Topology. 22(7). 3827–3923. 35 indexed citations

8.

Muñoz, Vicente & Joan Porti. (2016). Geometry of the SL(3,ℂ)-character variety of torus knots.. Library Open Repository (Universidad Complutense Madrid). 7 indexed citations

9.

Porti, Joan, et al.. (2013). Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds. Journal of Topology. 7(1). 69–119. 23 indexed citations

10.

Porti, Joan, et al.. (2012). Local coordinates for SL ( n , C ) -character varieties of finite-volume hyperbolic 3-manifolds. Annales mathématiques Blaise Pascal. 19(1). 107–122. 7 indexed citations

11.

Porti, Joan. (2011). Hyperbolic polygons of minimal perimeter with given angles. Geometriae Dedicata. 156(1). 165–170.

12.

Bessières, Laurent, et al.. (2011). Geometrisation of 3-manifolds. Choice Reviews Online. 49(2). 49–917. 26 indexed citations

13.

Boileau, Michel, Bernhard Leeb, & Joan Porti. (2005). Geometrization of 3-dimensional orbifolds. Annals of Mathematics. 162(1). 195–290. 61 indexed citations

14.

Porti, Joan. (2004). Spherical cone structures on 2-bridge knots and links. Kobe University Repository Kernel (Kobe University). 21(1). 61–70. 10 indexed citations

15.

Porti, Joan. (2004). Mayberry-Murasugi’s formula for links in homology 3-spheres. Proceedings of the American Mathematical Society. 132(11). 3423–3431. 10 indexed citations

16.

Dicks, Warren & Joan Porti. (2002). On the Hausdorff dimension of the Gieseking fractal. Topology and its Applications. 126(1-2). 169–186. 3 indexed citations

17.

Boileau, Michel, Bernhard Leeb, & Joan Porti. (2000). Uniformization of 3-orbifolds. arXiv (Cornell University). 2 indexed citations

18.

Porti, Joan. (1999). Estructures geomètriques sobre varietats de dimensió tres. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 14(1). 99–115.

19.

Alperin, Roger C., Warren Dicks, & Joan Porti. (1999). The boundary of the Gieseking tree in hyperbolic three-space. Topology and its Applications. 93(3). 219–259. 12 indexed citations

20.

Porti, Joan. (1998). Regenerating hyperbolic and spherical cone structures from Euclidean ones. Topology. 37(2). 365–392. 16 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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