Robert Hardt

3.3k total citations
64 papers, 1.7k citations indexed

About

Robert Hardt is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Robert Hardt has authored 64 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Applied Mathematics, 34 papers in Computational Theory and Mathematics and 26 papers in Geometry and Topology. Recurrent topics in Robert Hardt's work include Geometric Analysis and Curvature Flows (25 papers), Advanced Mathematical Modeling in Engineering (20 papers) and Nonlinear Partial Differential Equations (20 papers). Robert Hardt is often cited by papers focused on Geometric Analysis and Curvature Flows (25 papers), Advanced Mathematical Modeling in Engineering (20 papers) and Nonlinear Partial Differential Equations (20 papers). Robert Hardt collaborates with scholars based in United States, France and Switzerland. Robert Hardt's co-authors include Leon Simon, David Kinderlehrer, Fang‐Hua Lin, Fang-Hua Lin, Fanghua Lin, Fang Lin, Qing Han, Tristan Rivière, Xiaodong Zhou and Luis Caffarelli and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Communications on Pure and Applied Mathematics.

In The Last Decade

Robert Hardt

62 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert Hardt United States	23	1.1k	707	673	527	106	64	1.7k
Frédéric Hélein France	13	605 0.5×	290 0.4×	277 0.4×	343 0.7×	69 0.7×	26	1.1k
Juha Heinonen United States	24	2.7k 2.3×	718 1.0×	1.7k 2.5×	938 1.8×	92 0.9×	73	3.5k
F. J. Almgren United States	15	843 0.7×	410 0.6×	368 0.5×	233 0.4×	137 1.3×	27	1.2k
W. K. Hayman United Kingdom	27	2.3k 2.0×	320 0.5×	1.7k 2.5×	532 1.0×	54 0.5×	132	2.9k
Peter Duren United States	26	2.7k 2.4×	349 0.5×	1.5k 2.2×	711 1.3×	86 0.8×	118	3.4k
Ennio De Giorgi Italy	15	1.2k 1.1×	921 1.3×	390 0.6×	590 1.1×	239 2.3×	32	1.9k
Itai Shafrir Israel	18	817 0.7×	916 1.3×	407 0.6×	384 0.7×	50 0.5×	66	1.3k
Louis de Branges United States	20	1.4k 1.2×	363 0.5×	666 1.0×	760 1.4×	39 0.4×	77	1.9k
W. Allegretto Canada	23	808 0.7×	774 1.1×	69 0.1×	462 0.9×	180 1.7×	118	1.6k
A. H. Armstrong United Kingdom	4	837 0.7×	588 0.8×	222 0.3×	361 0.7×	94 0.9×	6	1.4k

Countries citing papers authored by Robert Hardt

Since Specialization

Citations

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

Fields of papers citing papers by Robert Hardt

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert Hardt

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

Hardt, Robert, et al.. (2014). Some basic theorems on flat G chains. Journal of Mathematical Analysis and Applications. 418(2). 1047–1061. 5 indexed citations

Hardt, Robert, et al.. (2004). Six Themes on Variation. 1 indexed citations

Hardt, Robert & Tristan Rivière. (2003). Connecting topological Hopf singularities. French digital mathematics library (Numdam). 2(2). 287–344. 28 indexed citations

Han, Qing, Robert Hardt, & Fanghua Lin. (2003). Singular Sets of Higher Order Elliptic Equations. Communications in Partial Differential Equations. 28(11-12). 2045–2063. 7 indexed citations

Hardt, Robert, Fanghua Lin, & Changyou Wang. (1997). Singularities ofp-energy minimizing maps. Communications on Pure and Applied Mathematics. 50(5). 399–447. 7 indexed citations

Hardt, Robert, et al.. (1995). Nonlinear partial differential equations in differential geometry. 21 indexed citations

Hardt, Robert, et al.. (1995). Prescribing singularities for p-harmonic maps. Indiana University Mathematics Journal. 44(2). 0–0. 3 indexed citations

Hardt, Robert & Xiaodong Zhou. (1994). An evolution problem for linear growth functionals. Communications in Partial Differential Equations. 19(11-12). 1879–1907. 32 indexed citations

Hardt, Robert & Harold Rosenberg. (1990). Open book structures and unicity of minimal submanifolds. Annales de l’institut Fourier. 40(3). 701–708. 4 indexed citations

10.

Hardt, Robert & Fang‐Hua Lin. (1987). Mappings minimizing the L^p norm of the gradient. Communications on Pure and Applied Mathematics. 40(5). 555–588. 158 indexed citations

11.

Hardt, Robert, David Kinderlehrer, & Fang-Hua Lin. (1986). Existence and partial regularity of static liquid crystal configurations. Communications in Mathematical Physics. 105(4). 547–570. 187 indexed citations

12.

Hardt, Robert & Fang Lin. (1986). A remark on H1 mappings. manuscripta mathematica. 56(1). 1–10. 50 indexed citations

13.

Caffarelli, Luis, Robert Hardt, & Leon Simon. (1984). Minimal surfaces with isolated singularities. manuscripta mathematica. 48(1-3). 1–18. 48 indexed citations

14.

Hardt, Robert & Clint McCrory. (1979). Steenrod operations in subanalytic homology. Compositio Mathematica. 39(3). 333–371. 4 indexed citations

15.

Hardt, Robert. (1977). . Indiana University Mathematics Journal. 26(1). 65–65. 4 indexed citations

16.

Hardt, Robert. (1976). Triangulation of subanalytic sets and proper light subanalytic maps. Inventiones mathematicae. 38(3). 207–217. 47 indexed citations

17.

Hardt, Robert. (1975). Homology theory for real analytic and semianalytic sets. French digital mathematics library (Numdam). 2(1). 107–148. 11 indexed citations

18.

Hardt, Robert. (1975). Topological Properties of Subanalytic Sets. Transactions of the American Mathematical Society. 211. 57–57. 10 indexed citations

19.

Hardt, Robert. (1974). Homology and images of semianalytic sets. Bulletin of the American Mathematical Society. 80(4). 675–678. 3 indexed citations

20.

Hardt, Robert. (1972). Slicing and intersection theory for chains associated with real analytic varieties. Acta Mathematica. 129(0). 75–136. 24 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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