R. Parimala

1.5k total citations
88 papers, 658 citations indexed

About

R. Parimala is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, R. Parimala has authored 88 papers receiving a total of 658 indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Geometry and Topology, 44 papers in Mathematical Physics and 42 papers in Algebra and Number Theory. Recurrent topics in R. Parimala's work include Algebraic Geometry and Number Theory (61 papers), Advanced Algebra and Geometry (35 papers) and Advanced Topics in Algebra (24 papers). R. Parimala is often cited by papers focused on Algebraic Geometry and Number Theory (61 papers), Advanced Algebra and Geometry (35 papers) and Advanced Topics in Algebra (24 papers). R. Parimala collaborates with scholars based in India, United States and Switzerland. R. Parimala's co-authors include V. Suresh, R. Sridharan, Eva Bayer‐Fluckiger, Jean-Louis Colliot-Thélène, Manuel Ojanguren, Philippe Gille, Jean-Pierre Tignol, V. Srinivas, R. Sujatha and David W. Lewis and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

R. Parimala

74 papers receiving 548 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
R. Parimala India	15	605	415	298	90	82	88	658
R. Sridharan India	14	465 0.8×	238 0.6×	416 1.4×	64 0.7×	91 1.1×	57	590
Manuel Ojanguren Switzerland	12	485 0.8×	296 0.7×	299 1.0×	82 0.9×	69 0.8×	41	576
Mark Kisin United States	15	805 1.3×	766 1.8×	186 0.6×	95 1.1×	53 0.6×	36	849
Bas Edixhoven Netherlands	12	428 0.7×	367 0.9×	155 0.5×	60 0.7×	47 0.6×	27	459
Emmanuel Ullmo France	14	454 0.8×	362 0.9×	170 0.6×	58 0.6×	57 0.7×	32	502
Thomas Zink Germany	12	621 1.0×	529 1.3×	148 0.5×	102 1.1×	63 0.8×	33	670
David Harbater United States	13	431 0.7×	231 0.6×	127 0.4×	84 0.9×	137 1.7×	44	466
A S Merkur'ev United States	6	359 0.6×	255 0.6×	120 0.4×	57 0.6×	45 0.5×	11	383
R. Sujatha India	11	436 0.7×	362 0.9×	183 0.6×	39 0.4×	29 0.4×	44	456
Kay Wingberg Germany	8	557 0.9×	416 1.0×	177 0.6×	89 1.0×	73 0.9×	27	591

Countries citing papers authored by R. Parimala

Since Specialization

Citations

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

Fields of papers citing papers by R. Parimala

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of R. Parimala

This figure shows the co-authorship network connecting the top 25 collaborators of R. Parimala. A scholar is included among the top collaborators of R. Parimala 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 R. Parimala. R. Parimala is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Bayer‐Fluckiger, Eva, et al.. (2022). Embeddings of Maximal Tori in Classical Groups, Odd Degree Descent and Hasse Principles. Infoscience (Ecole Polytechnique Fédérale de Lausanne). 1(1). 115–130.

Parimala, R., et al.. (2022). Local-global principle for classical groups over function fields of $p$-adic curves. Commentarii Mathematici Helvetici. 97(2). 255–304.

Bayer‐Fluckiger, Eva & R. Parimala. (2020). On Unramified Brauer Groups of Torsors over Tori. Documenta Mathematica. 25. 1263–1284. 1 indexed citations

Parimala, R. & V. Suresh. (2015). On the u-invariant of function fields of curves over complete discretely valued fields. Advances in Mathematics. 280. 729–742.

Colliot-Thélène, Jean-Louis, et al.. (2012). Patching and local-global principles for homogeneous spaces over function fields of $p$-adic curves. Commentarii Mathematici Helvetici. 87(4). 1011–1033. 27 indexed citations

Parimala, R., et al.. (2003). Hasse principle for classical groups over function fields of curves over number fields. Journal of Number Theory. 101(1). 151–184. 6 indexed citations

Merkurjev, Alexander, R. Parimala, & Jean-Pierre Tignol. (2003). Invariants of quasi-trivial tori and the Rost invariant. St Petersburg Mathematical Journal. 14(5). 791–821. 8 indexed citations

Parimala, R., R. Sridharan, & V. Suresh. (2001). Hermitian Analogue of a Theorem of Springer. Journal of Algebra. 243(2). 780–789. 31 indexed citations

Parimala, R., et al.. (1999). Tits‘ Constructions of Jordan Algebras and F4 Bundles on the Plane. Compositio Mathematica. 119(1). 13–40. 9 indexed citations

10.

Parimala, R., et al.. (1997). Jordan Algebras andF4Bundles over the Affine Plane. Journal of Algebra. 198(2). 582–607. 9 indexed citations

11.

Parimala, R., et al.. (1990). Azumaya algebras with involutions. Journal of Algebra. 130(1). 65–82. 17 indexed citations

12.

Parimala, R., et al.. (1990). Real components of algebraic varieties and �tale cohomology. Inventiones mathematicae. 101(1). 81–99. 31 indexed citations

13.

Parimala, R.. (1988). Witt groups of conics, elliptic, and hyperelliptic curves. Journal of Number Theory. 28(1). 69–93. 10 indexed citations

14.

Ojanguren, Manuel, R. Parimala, & R. Sridharan. (1987). Anisotropic quadratic spaces over the plane. HIV Medicine. 11(3). 465–489.

15.

Kneser, Martin, Max-Albert Knus, Manuel Ojanguren, R. Parimala, & R. Sridharan. (1986). Composition of quaternary quadratic forms. Compositio Mathematica. 60(2). 133–150. 8 indexed citations

16.

Parimala, R.. (1983). Quadratic Spaces Over Laurent Extensions of Dedekind Domains. Transactions of the American Mathematical Society. 277(2). 569–569. 1 indexed citations

17.

Parimala, R.. (1983). Quadratic spaces over Laurent extensions of Dedekind domains. Transactions of the American Mathematical Society. 277(2). 569–578. 4 indexed citations

18.

Parimala, R., et al.. (1982). Quadratic forms over polynomial extensions of rings of dimension one. Journal of Pure and Applied Algebra. 24(3). 293–302. 1 indexed citations

19.

Parimala, R.. (1982). Cancellation of quadratic forms over principal ideal domains. Journal of Pure and Applied Algebra. 24(2). 213–216. 4 indexed citations

20.

Knus, Max-Albert, Manuel Ojanguren, & R. Parimala. (1982). Positive-definite quadratic bundles over the plane. Commentarii Mathematici Helvetici. 57(1). 400–411. 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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