2026 Robert Hardt: Mathematics Researcher – H-Index, Publications & Awards

Research.com Recognitions

2015 - Fellow of the American Mathematical Society For contributions to calculus of variations, partial differential equations, and analytic approaches to geometry and topology, as well as mentoring.

Overview

Robert Hardt is affiliated with Rice University in the United States and specializes primarily in the field of Mathematics. Their research spans multiple subfields including Applied Mathematics, Mathematical Physics, and Geometry and Topology. Their scholarly output is connected to various aspects of geometric analysis, partial differential equations, and algebraic topology.

The main topics of Robert Hardt's work cover a range of areas such as:

Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Point processes and geometric inequalities
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Homotopy and Cohomology in Algebraic Topology
Analytic and geometric function theory

They have published papers in several recognized venues. Frequent publication locations include:

Journal of Singularities
Journal of the London Mathematical Society
Indiana University Mathematics Journal
arXiv (Cornell University)

Selected recent papers by Robert Hardt include:

Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets, 2022, Journal of Singularities
Regulator maps for higher Chow groups via current transforms, 2022, Journal of the London Mathematical Society
A multiple-valued plateau problem, 2020, Indiana University Mathematics Journal
Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets, 2020, arXiv (Cornell University)

Robert Hardt has collaborated frequently with several other researchers, including:

Thierry De Pauw
Pedro F. dos Santos
Paulo Lima-Filho
Quentin Funk

In 2015, Robert Hardt was awarded the distinction of Fellow of the American Mathematical Society. The citation for this award notes their contributions to calculus of variations, partial differential equations, and analytic approaches to geometry and topology, as well as mentoring activities.

Best Publications

Mappings minimizing the Lp norm of the gradient

Robert Hardt;Fang‐Hua ‐H Lin

398
Citations
Existence and partial regularity of static liquid crystal configurations

Robert Hardt;David Kinderlehrer;Fang Hua Lin

397
Citations
Nodal sets for solutions of elliptic equations

Robert Hardt;Leon Simon

365
Citations
Boundary Regularity and Embedded Solutions for the Oriented Plateau Problem

Robert Hardt;Leon Simon

273
Citations
Stratification of Real Analytic Mappings and Images.

Robert M. Hardt

173
Citations
A remark on H1 mappings

Robert Hardt;Robert Hardt;Fang Hua Lin;Fang Hua Lin

130
Citations
Stable defects of minimizers of constrained variational principles

R. Hardt;D. Kinderlehrer;Fang-Hua Lin

127
Citations
Geometric measure of singular sets of elliptic equations

Qing Han;Robert Hardt;Fanghua Lin

123
Citations
Area minimizing hypersurfaces with isolated singularities.

Leon Simon;Robert Hardt

122
Citations
Topological properties of subanalytic sets

Robert M. Hardt

119
Citations
Triangulation of subanalytic sets and proper light subanalytic maps

Robert M. Hardt

116
Citations
Minimal surfaces with isolated singularities

Luis A Caffarelli;Robert Hardt;Leon Simon

109
Citations
Singularities of harmonic maps

Robert M. Hardt

94
Citations
Mathematical Questions of Liquid Crystal Theory

Robert Hardt;David Kinderlehrer

89
Citations
Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space

Robert Hardt;Fang Hua Lin

73
Citations
Real homotopy theory of semi-algebraic sets

Robert Hardt;Pascal Lambrechts;Victor Turchin;Ismar Volić

70
Citations
An evolution problem for linear growth functionals

Robert Hardt;Xiaodong Zhou

64
Citations
Elastic plastic deformation

Robert Hardt;David Kinderlehrer

63
Citations
Axially symmetric harmonic maps minimizing a relaxed energy

Robert Hardt;Fang‐Hua ‐H Lin;Chi‐Cheung ‐C Poon

63
Citations
Partially constrained boundary conditions with energy minimizing mappings

Robert Hardt;Fang Hua Lin;Fang Hua Lin

60
Citations

Frequent Co-Authors

Fanghua Lin Courant Institute of Mathematical Sciences

David Kinderlehrer Carnegie Mellon University

Leon Simon Stanford University

Michael M. Wolf Technical University of Munich

Changyou Wang Purdue University West Lafayette

Mitchell Luskin University of Minnesota

Tristan Rivière ETH Zurich

Luis A. Caffarelli The University of Texas at Austin

External Links

Personal website of Robert Hardt

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