Frank D. Grosshans

868 total citations
27 papers, 308 citations indexed

About

Frank D. Grosshans is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Frank D. Grosshans has authored 27 papers receiving a total of 308 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Mathematical Physics, 14 papers in Geometry and Topology and 12 papers in Algebra and Number Theory. Recurrent topics in Frank D. Grosshans's work include Advanced Topics in Algebra (12 papers), Advanced Algebra and Geometry (12 papers) and Finite Group Theory Research (8 papers). Frank D. Grosshans is often cited by papers focused on Advanced Topics in Algebra (12 papers), Advanced Algebra and Geometry (12 papers) and Finite Group Theory Research (8 papers). Frank D. Grosshans collaborates with scholars based in United States, Germany and Switzerland. Frank D. Grosshans's co-authors include Joël Stein, Gian‐Carlo Rota, Sebastian Walcher, Jürgen Scheurle, Morikuni Gotô, Giuseppe Gaeta and Hanspeter Kraft and has published in prestigious journals such as SHILAP Revista de lepidopterología, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Frank D. Grosshans

22 papers receiving 245 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Frank D. Grosshans United States	8	246	201	119	86	31	27	308
Tadeusz Józefiak Poland	10	181 0.7×	92 0.5×	128 1.1×	106 1.2×	49 1.6×	19	242
H�l�ne Esnault Germany	11	281 1.1×	180 0.9×	108 0.9×	79 0.9×	49 1.6×	13	314
Vladimir L. Popov Russia	13	423 1.7×	395 2.0×	159 1.3×	96 1.1×	33 1.1×	62	522
Kaan Akın United States	8	284 1.2×	188 0.9×	195 1.6×	134 1.6×	53 1.7×	13	350
Konstanze Rietsch United Kingdom	11	302 1.2×	195 1.0×	100 0.8×	179 2.1×	22 0.7×	26	340
Brad Shelton United States	12	284 1.2×	182 0.9×	226 1.9×	46 0.5×	35 1.1×	25	334
John Swallow United States	8	167 0.7×	120 0.6×	95 0.8×	102 1.2×	27 0.9×	24	234
L. Grünenfelder Canada	8	178 0.7×	88 0.4×	195 1.6×	55 0.6×	36 1.2×	34	240
Jürgen Wolfart Germany	11	265 1.1×	199 1.0×	81 0.7×	101 1.2×	43 1.4×	29	332
Fernando Rodriguez-Villegas United States	9	214 0.9×	164 0.8×	65 0.5×	109 1.3×	30 1.0×	13	266

Countries citing papers authored by Frank D. Grosshans

Since Specialization

Citations

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

Fields of papers citing papers by Frank D. Grosshans

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frank D. Grosshans. 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 Frank D. Grosshans. The network helps show where Frank D. Grosshans may publish in the future.

Co-authorship network of co-authors of Frank D. Grosshans

This figure shows the co-authorship network connecting the top 25 collaborators of Frank D. Grosshans. A scholar is included among the top collaborators of Frank D. Grosshans 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 Frank D. Grosshans. Frank D. Grosshans 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

Grosshans, Frank D. & Hanspeter Kraft. (2020). Covariants, Invariant Subsets, and First Integrals. SHILAP Revista de lepidopterología. Volume 4.

Gotô, Morikuni & Frank D. Grosshans. (2020). Semisimple Lie Algebras. 1 indexed citations

Gaeta, Giuseppe, Frank D. Grosshans, Jürgen Scheurle, & Sebastian Walcher. (2008). Reduction and reconstruction for symmetric ordinary differential equations. Journal of Differential Equations. 244(7). 1810–1839. 4 indexed citations

Grosshans, Frank D.. (2003). The work of Gian-Carlo rota on invariant theory. Algebra Universalis. 49(3). 213–258. 2 indexed citations

Grosshans, Frank D.. (1998). Invariant theory, orbits and non-decomposable quadruples of subspaces having non-zero defect. Linear Algebra and its Applications. 282(1-3). 63–81. 1 indexed citations

Grosshans, Frank D.. (1997). Algebraic Homogeneous Spaces and Invariant Theory. Lecture notes in mathematics. 86 indexed citations

Grosshans, Frank D.. (1993). The Symbolic Method and Representation Theory. Advances in Mathematics. 98(1). 113–142. 4 indexed citations

Grosshans, Frank D.. (1992). Contractions of the actions of reductive algebraic groups in arbitrary characteristic. Inventiones mathematicae. 107(1). 127–133. 20 indexed citations

Grosshans, Frank D., Gian‐Carlo Rota, & Joël Stein. (1987). Invariant Theory and Superalgebras. 59 indexed citations

10.

Grosshans, Frank D.. (1986). Hilbert's fourteenth problem for non-reductive groups. Mathematische Zeitschrift. 193(1). 95–103. 8 indexed citations

11.

Grosshans, Frank D.. (1983). The invariants of unipotent radicals of parabolic subgroups. Inventiones mathematicae. 73(1). 1–9. 27 indexed citations

12.

Grosshans, Frank D.. (1982). The variety of points which are not semi-stable. Illinois Journal of Mathematics. 26(1). 3 indexed citations

13.

Grosshans, Frank D.. (1981). Rigid Motions of Conics: An Introduction to Invariant Theory. American Mathematical Monthly. 88(6). 407–407.

14.

Grosshans, Frank D.. (1981). Rigid Motions of Conics: An Introduction to Invariant Theory. American Mathematical Monthly. 88(6). 407–413. 1 indexed citations

15.

Grosshans, Frank D.. (1972). Semi-Simple Algebraic Groups Defined Over a Real Closed Field. American Journal of Mathematics. 94(2). 473–473. 7 indexed citations

16.

Grosshans, Frank D.. (1971). Real Orthogonal Representations of Algebraic Groups. Transactions of the American Mathematical Society. 160. 343–343. 1 indexed citations

17.

Grosshans, Frank D.. (1971). Real orthogonal representations of algebraic groups. Transactions of the American Mathematical Society. 160(0). 343–352. 2 indexed citations

18.

Grosshans, Frank D.. (1969). Orthogonal Representations of Algebraic Groups. Transactions of the American Mathematical Society. 137. 519–519. 3 indexed citations

19.

Grosshans, Frank D.. (1969). Othogonal representations of algebraic groups. Transactions of the American Mathematical Society. 137(0). 519–531. 1 indexed citations

20.

Grosshans, Frank D., et al.. (1966). Cohomology groups of vector-valued forms on symmetric spaces. Medical Entomology and Zoology. 14 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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