Mario Salvetti

837 total citations
33 papers, 418 citations indexed

About

Mario Salvetti is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Mario Salvetti has authored 33 papers receiving a total of 418 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 22 papers in Mathematical Physics and 18 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Mario Salvetti's work include Homotopy and Cohomology in Algebraic Topology (20 papers), Geometric and Algebraic Topology (17 papers) and Advanced Combinatorial Mathematics (17 papers). Mario Salvetti is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (20 papers), Geometric and Algebraic Topology (17 papers) and Advanced Combinatorial Mathematics (17 papers). Mario Salvetti collaborates with scholars based in Italy, Switzerland and United States. Mario Salvetti's co-authors include Corrado De Concini, Claudio Procesi, Davide Moroni, M. C. Prati, Fred Cohen, Giovanni Paolini and Eva María Feichtner and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Mario Salvetti

29 papers receiving 359 citations

Peers

Mario Salvetti

GT

MP

DMC

CTM

EEE

Bernhard Mühlherr Germany

Coy L. May United States

David Bessis France

Martin Edjvet United Kingdom

Pierre‐Emmanuel Caprace Belgium

Hiro‐o Tokunaga Japan

Randall McCutcheon United States

Andrei Jaikin‐Zapirain Spain

Enrique Artal Bartolo Spain

Ştefan Papadima Romania

Bernhard Mühlherr Germany

Mario Salvetti

219 ×0.6

GT

132 ×0.5

MP

212 ×0.8

DMC

47 ×0.5

CTM

18 ×0.7

EEE

Citations per year, relative to Mario Salvetti Mario Salvetti (= 1×) peers Bernhard Mühlherr

Countries citing papers authored by Mario Salvetti

Since Specialization

Citations

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

Fields of papers citing papers by Mario Salvetti

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mario Salvetti

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

Paolini, Giovanni, et al.. (2024). Dual structures on Coxeter and Artin groups of rank three. Geometry & Topology. 28(9). 4295–4336.

2.

Salvetti, Mario, et al.. (2020). Families of superelliptic curves, complex braid groups and generalized Dehn twists. CINECA IRIS Institutial research information system (University of Pisa).

3.

Salvetti, Mario, et al.. (2017). Twisted cohomology of arrangements of lines and Milnor fibers. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 1461–1489.

4.

Salvetti, Mario, et al.. (2016). Arrangements of lines and monodromy of associated Milnor fibers. Journal of Knot Theory and Its Ramifications. 25(12). 1642014–1642014. 2 indexed citations

5.

Cohen, Fred, et al.. (2013). THE COHOMOLOGY OF THE BRAID GROUP B3 AND OF SL2(Z) WITH COEFFICIENTS IN A GEOMETRIC REPRESENTATION. The Quarterly Journal of Mathematics. 64(3). 847–889. 2 indexed citations

6.

Salvetti, Mario, et al.. (2008). Cohomology of Artin Groups of type $tilde{A}_n,$ $tilde{B}_n$ and applications. Geometry & Topology. 13. 85–104. 1 indexed citations

7.

Moroni, Davide, et al.. (2008). Cohomology of Artin groups of type z An, Bn and applications. 1 indexed citations

8.

Salvetti, Mario, et al.. (2008). The Morse complex of a line arrangement. Journal of Algebra. 321(1). 316–337. 7 indexed citations

9.

Salvetti, Mario, et al.. (2004). Integral cohomology of the Milnor fibre of the discriminant bundle associated with a finite Coxeter group. Comptes Rendus Mathématique. 339(8). 573–578. 7 indexed citations

10.

Salvetti, Mario. (2002). Cohomology of Coxeter groups. Topology and its Applications. 118(1-2). 199–208. 2 indexed citations

11.

Concini, Corrado De, Claudio Procesi, & Mario Salvetti. (2001). Arithmetic properties of the cohomology of braid groups. Topology. 40(4). 739–751. 23 indexed citations

12.

Concini, Corrado De, et al.. (1999). Arithmetic properties of the cohomology of Artin groups. Institutional Research Information System University of Ferrara (University of Ferrara). 28(4). 695–717. 18 indexed citations

13.

Concini, Corrado De & Mario Salvetti. (1999). Stability for the Cohomology of Artin Groups. Advances in Mathematics. 145(2). 291–305. 4 indexed citations

14.

Concini, Corrado De, et al.. (1997). The top-cohomology of Artin groups with coefficients in rank-1 local systems over Z. Topology and its Applications. 78(1-2). 5–20. 9 indexed citations

15.

Salvetti, Mario, et al.. (1997). Artin groups associated to infinite Coxeter groups. Discrete Mathematics. 163(1-3). 129–138. 4 indexed citations

16.

Salvetti, Mario. (1994). The Homotopy Type of Artin Groups. Mathematical Research Letters. 1(5). 565–577. 63 indexed citations

17.

Salvetti, Mario. (1993). On the homotopy theory of complexes associated to metrical-hemisphere complexes. Discrete Mathematics. 113(1-3). 155–177. 7 indexed citations

18.

Salvetti, Mario. (1991). A lower bound for the number of differentiable structures on $4$-manifolds.. CINECA IRIS Institutial research information system (University of Pisa). 5(1). 33–40. 1 indexed citations

19.

Salvetti, Mario. (1988). Arrangements of lines and monodromy of plane curves. Compositio Mathematica. 68(1). 103–122. 14 indexed citations

20.

Salvetti, Mario. (1988). On the homotopy type of the complement to an arrangement of lines in ${\bf C}^2$. CINECA IRIS Institutial research information system (University of Pisa). 2(3). 337–344. 6 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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