Luca Rizzi

1.1k total citations
31 papers, 539 citations indexed

About

Luca Rizzi is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Luca Rizzi has authored 31 papers receiving a total of 539 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Applied Mathematics, 14 papers in Geometry and Topology and 13 papers in Astronomy and Astrophysics. Recurrent topics in Luca Rizzi's work include Geometric Analysis and Curvature Flows (21 papers), Geometry and complex manifolds (10 papers) and Advanced Differential Geometry Research (9 papers). Luca Rizzi is often cited by papers focused on Geometric Analysis and Curvature Flows (21 papers), Geometry and complex manifolds (10 papers) and Advanced Differential Geometry Research (9 papers). Luca Rizzi collaborates with scholars based in Italy, France and United Kingdom. Luca Rizzi's co-authors include Sergio L. Cacciatori, Vittorio Gorini, Davide Barilari, F. Belgiorno, G. Ortenzi, Daniele Faccio, E. Rubino, Matteo Clerici, V. G. Sala and Andrei Agrachev and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and New Journal of Physics.

In The Last Decade

Luca Rizzi

30 papers receiving 514 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Luca Rizzi Italy	12	328	238	135	118	110	31	539
Shahen Hacyan Mexico	13	353 1.1×	231 1.0×	38 0.3×	151 1.3×	162 1.5×	72	563
Ahmad T. Ali Egypt	16	81 0.2×	208 0.9×	236 1.7×	451 3.8×	64 0.6×	58	833
Floyd L. Williams United States	10	158 0.5×	139 0.6×	147 1.1×	255 2.2×	78 0.7×	60	596
Piotr Kielanowski Mexico	13	145 0.4×	76 0.3×	48 0.4×	171 1.4×	220 2.0×	94	525
Manuel Barros Spain	15	74 0.2×	397 1.7×	584 4.3×	184 1.6×	113 1.0×	57	862
Bernard Jancewicz Poland	10	113 0.3×	66 0.3×	102 0.8×	80 0.7×	62 0.6×	28	317
Kai Shun Lam United States	4	79 0.2×	63 0.3×	55 0.4×	75 0.6×	21 0.2×	23	339
Alexei A. Deriglazov Brazil	14	170 0.5×	254 1.1×	79 0.6×	371 3.1×	328 3.0×	72	564
Oleg I. Bogoyavlenskij Canada	13	48 0.1×	122 0.5×	59 0.4×	278 2.4×	112 1.0×	54	534
Nevin Gürbüz Türkiye	12	93 0.3×	112 0.5×	88 0.7×	201 1.7×	91 0.8×	35	339

Countries citing papers authored by Luca Rizzi

Since Specialization

Citations

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

Fields of papers citing papers by Luca Rizzi

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Luca Rizzi

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

Baudoin, Fabrice, et al.. (2025). Comparison theorems on H-type sub-Riemannian manifolds. Calculus of Variations and Partial Differential Equations. 64(5). 143–143. 1 indexed citations

Agrachev, Andrei, et al.. (2024). Relative heat content asymptotics for sub-Riemannian manifolds. Analysis & PDE. 17(9). 2997–3037.

Chitour, Yacine, et al.. (2023). Weyl's law for singular Riemannian manifolds. Journal de Mathématiques Pures et Appliquées. 181. 113–151. 2 indexed citations

Rizzi, Luca, et al.. (2023). Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries. Journal of Functional Analysis. 285(9). 110099–110099. 3 indexed citations

Baudoin, Fabrice, et al.. (2022). H-type foliations. Differential Geometry and its Applications. 85. 101952–101952. 2 indexed citations

Rizzi, Luca. (2018). A counterexample to gluing theorems for MCP metric measure spaces. Bulletin of the London Mathematical Society. 50(5). 781–790. 2 indexed citations

Rizzi, Luca, et al.. (2018). Recent results on the essential self-adjointness of sub-Laplacians, with some remarks on the presence of characteristic points. HAL (Le Centre pour la Communication Scientifique Directe). 33. 1–15. 1 indexed citations

Barilari, Davide & Luca Rizzi. (2018). Sub-Riemannian interpolation inequalities. Inventiones mathematicae. 215(3). 977–1038. 16 indexed citations

Barilari, Davide & Luca Rizzi. (2017). Sub-Riemannian interpolation inequalities: ideal structures. arXiv (Cornell University). 2 indexed citations

10.

Rizzi, Luca, et al.. (2017). On the essential self-adjointness of sub-Laplacians. arXiv (Cornell University). 1 indexed citations

11.

Boscain, Ugo, Robert W. Neel, & Luca Rizzi. (2017). Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Advances in Mathematics. 314. 124–184. 8 indexed citations

12.

Rizzi, Luca, et al.. (2017). How many geodesics join two points on a contact sub-Riemannian manifold?. Journal of Symplectic Geometry. 15(1). 247–305. 5 indexed citations

13.

Barilari, Davide & Luca Rizzi. (2017). On Jacobi fields and a canonical connection in sub-Riemannian geometry. Archivum Mathematicum. 77–92. 11 indexed citations

14.

Rizzi, Luca & Ulysse Serres. (2017). On the cut locus of free, step two Carnot groups. Proceedings of the American Mathematical Society. 145(12). 5341–5357. 17 indexed citations

15.

Agrachev, Andrei, Davide Barilari, & Luca Rizzi. (2016). Sub-Riemannian Curvature in Contact Geometry. Journal of Geometric Analysis. 27(1). 366–408. 14 indexed citations

16.

Rizzi, Luca, Oliver F. Piattella, Sergio L. Cacciatori, & Vittorio Gorini. (2016). Scattering and delay time for 1D asymmetric potentials: The step-linear and the step-exponential case. SHILAP Revista de lepidopterología. 38(2). 5 indexed citations

17.

Agrachev, Andrei, Davide Barilari, & Luca Rizzi. (2013). Curvature: A Variational Approach. 19 indexed citations

18.

Rubino, E., F. Belgiorno, Sergio L. Cacciatori, et al.. (2011). Experimental evidence of analogue Hawking radiation from ultrashort laser pulse filaments. New Journal of Physics. 13(8). 85005–85005. 40 indexed citations

19.

Belgiorno, F., Sergio L. Cacciatori, Matteo Clerici, et al.. (2010). Hawking Radiation from Ultrashort Laser Pulse Filaments. Physical Review Letters. 105(20). 203901–203901. 240 indexed citations

20.

Belgiorno, F., Sergio L. Cacciatori, Matteo Clerici, et al.. (2010). Reply to Comment on: Hawking radiation from ultrashort laser pulse filaments. arXiv (Cornell University). 107(14). 149402. 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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