Aroldo Kaplan

1.7k total citations
24 papers, 822 citations indexed

About

Aroldo Kaplan is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Aroldo Kaplan has authored 24 papers receiving a total of 822 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 18 papers in Mathematical Physics and 7 papers in Applied Mathematics. Recurrent topics in Aroldo Kaplan's work include Advanced Algebra and Geometry (12 papers), Algebraic Geometry and Number Theory (11 papers) and Geometry and complex manifolds (7 papers). Aroldo Kaplan is often cited by papers focused on Advanced Algebra and Geometry (12 papers), Algebraic Geometry and Number Theory (11 papers) and Geometry and complex manifolds (7 papers). Aroldo Kaplan collaborates with scholars based in United States and Argentina. Aroldo Kaplan's co-authors include Eduardo Cattani, Wilfried Schmid, Pierre Deligne, Robert Putz and Gregory Pearlstein and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Aroldo Kaplan

21 papers receiving 669 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Aroldo Kaplan United States	10	500	470	424	142	100	24	822
Ernst Heintze Germany	15	583 1.2×	352 0.7×	687 1.6×	240 1.7×	64 0.6×	27	908
Franz W. Kamber United States	12	349 0.7×	295 0.6×	255 0.6×	64 0.5×	108 1.1×	33	528
Viktor Schroeder Switzerland	15	838 1.7×	468 1.0×	655 1.5×	135 1.0×	43 0.4×	70	1.0k
Pierre Molino France	8	344 0.7×	256 0.5×	278 0.7×	76 0.5×	80 0.8×	22	488
YOZÔ MATSUSHIMA Japan	16	671 1.3×	451 1.0×	340 0.8×	77 0.5×	155 1.6×	32	830
S.-T. Yau United States	6	381 0.8×	170 0.4×	442 1.0×	127 0.9×	20 0.2×	7	560
Benjamin M. Mann United States	13	377 0.8×	294 0.6×	200 0.5×	79 0.6×	116 1.2×	33	497
Lawrence Conlon United States	14	443 0.9×	375 0.8×	249 0.6×	49 0.3×	72 0.7×	60	610
Edoardo Vesentini Italy	10	420 0.8×	205 0.4×	399 0.9×	58 0.4×	65 0.7×	39	619
F. Tricerri Italy	13	635 1.3×	155 0.3×	749 1.8×	510 3.6×	33 0.3×	25	847

Countries citing papers authored by Aroldo Kaplan

Since Specialization

Citations

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

Fields of papers citing papers by Aroldo Kaplan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Aroldo Kaplan

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

Cattani, Eduardo & Aroldo Kaplan. (2014). Algebraicity of Hodge loci for variations of Hodge structure. Contemporary mathematics - American Mathematical Society. 59–83. 2 indexed citations

Kaplan, Aroldo. (2008). Quaternions and octonions in Mechanics. Revista de la Unión Matemática Argentina. 49(2). 45–53. 9 indexed citations

Kaplan, Aroldo, et al.. (2007). Horizontal submanifolds of groups of Heisenberg type. Annali di Matematica Pura ed Applicata (1923 -). 187(1). 67–91. 1 indexed citations

Kaplan, Aroldo, et al.. (2005). Spinor Types in Infinite Dimensions. Journal of Lie theory. 15(2). 457–495.

Kaplan, Aroldo & Gregory Pearlstein. (2003). Singularities of variations of mixed Hodge structure. Asian Journal of Mathematics. 7(3). 307–336. 3 indexed citations

Kaplan, Aroldo, et al.. (2000). The Oscillator Representation and¶Groups of Heisenberg Type. Communications in Mathematical Physics. 210(2). 309–321. 1 indexed citations

Cattani, Eduardo, Pierre Deligne, & Aroldo Kaplan. (1995). On the locus of Hodge classes. Journal of the American Mathematical Society. 8(2). 483–506. 45 indexed citations

Cattani, Eduardo, Pierre Deligne, & Aroldo Kaplan. (1995). On the Locus of Hodge Classes. Journal of the American Mathematical Society. 8(2). 483–483. 8 indexed citations

Cattani, Eduardo & Aroldo Kaplan. (1989). DEGENERATING VARIATIONS OF HODGE STRUCTURE. Astérisque. 22 indexed citations

10.

Cattani, Eduardo, Aroldo Kaplan, & Wilfried Schmid. (1987). L 2 and intersection cohomologies for a polarizable variation of Hodge structure. Inventiones mathematicae. 87(2). 217–252. 41 indexed citations

11.

Kaplan, Aroldo. (1983). On the Geometry of Groups of Heisenberg Type. Bulletin of the London Mathematical Society. 15(1). 35–42. 125 indexed citations

12.

Cattani, Eduardo & Aroldo Kaplan. (1982). Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure. Inventiones mathematicae. 67(1). 101–115. 57 indexed citations

13.

Cattani, Eduardo & Aroldo Kaplan. (1981). On the local monodromy of a variation of Hodge structure. Bulletin of the American Mathematical Society. 4(1). 116–118. 2 indexed citations

14.

Kaplan, Aroldo. (1981). Riemannian nilmanifolds attached to Clifford modules. Geometriae Dedicata. 11(2). 91 indexed citations

15.

Kaplan, Aroldo. (1980). Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms. Transactions of the American Mathematical Society. 258(1). 147–153. 222 indexed citations

16.

Kaplan, Aroldo. (1980). Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms. Transactions of the American Mathematical Society. 258(1). 147–147. 46 indexed citations

17.

Cattani, Eduardo & Aroldo Kaplan. (1979). The monodromy weight filtration for a several variables degeneration of Hodge structures of weight two. Inventiones mathematicae. 52(2). 131–142. 5 indexed citations

18.

Cattani, Eduardo & Aroldo Kaplan. (1978). Horizontal SL2-orbits in flag domains. Mathematische Annalen. 235(1). 17–35. 5 indexed citations

19.

Cattani, Eduardo & Aroldo Kaplan. (1977). Extension of period mappings for Hodge structures of weight two. Duke Mathematical Journal. 44(1). 7 indexed citations

20.

Kaplan, Aroldo, et al.. (1977). Boundary behavior of harmonic forms on a rank one symmetric space. Transactions of the American Mathematical Society. 231(2). 369–384. 8 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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