2026 Guy David: Mathematics Researcher – H-Index, Publications & Awards

Overview

Guy David is affiliated with the University of Paris-Saclay in France. Their research primarily spans the fields of Mathematics and Computer Science, with a particular focus on Applied Mathematics, Mathematical Physics, and Computational Theory and Mathematics. Their work also touches on Condensed Matter Physics and General Health Professions.

The main topics covered in their research include:

Advanced Mathematical Modeling in Engineering
Nonlinear Partial Differential Equations
Advanced Harmonic Analysis Research
Numerical methods in inverse problems
Spectral Theory in Mathematical Physics
Differential Equations and Boundary Problems
Advanced mathematical theories

Guy David has published extensively, with a significant number of their works appearing on arXiv (Cornell University). Other frequent publication venues include Advances in Mathematics, Astérisque, Annales de la faculté des sciences de Toulouse Mathématiques, and Memoirs of the American Mathematical Society.

Recent papers authored by Guy David include:

Elliptic Theory for Sets with Higher Co-dimensional Boundaries (2021), Memoirs of the American Mathematical Society
Harmonic Measure Is Absolutely Continuous with Respect to the Hausdorff Measure on All Low-Dimensional Uniformly Rectifiable Sets (2022), International Mathematics Research Notices
Square functions, nontangential limits, and harmonic measure in codimension larger than 1 (2020), Duke Mathematical Journal
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions (2022), Advances in Mathematics
Parametrix for wave equations on a rough background I: Regularity of the phase at initial time. II: Construction and control at initial time (2023), Astérisque

Throughout their career, Guy David has collaborated frequently with other researchers. Notable coauthors include:

Svitlana Mayboroda
Max Engelstein
Joseph Feneuil
Marcel Filoche
Linhan Li

Best Publications

A boundedness criterion for generalized Caldéron-Zygmund operators

Guy David;Jean-Lin Journe

694
Citations
Analysis of and on uniformly rectifiable sets

Guy David;Stephen Semmes

412
Citations
Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation

Guy David;Jean-Lin Journé;Stephen Semmes

406
Citations
Opérateurs intégraux singuliers sur certaines courbes du plan complexe

Guy David

342
Citations
Wavelets and Singular Integrals on Curves and Surfaces

Guy David

341
Citations
Fractured fractals and broken dreams : self-similar geometry through metric and measure

Guy David;Stephen Semmes

294
Citations
Unrectictifiable 1-sets have vanishing analytic capacity

Guy David

198
Citations
Removable sets for Lipschitz harmonic functions in the plane

Guy David;Pertti Mattila

179
Citations
Morceaux de graphes lipschitziens et integrales singulières sur une surface.

Guy David

171
Citations
Singular integrals and rectifiable sets in R[n] : au-delà des graphes lipschitziens

Guy David;Stephen Semmes

146
Citations
Singular Sets of Minimizers for the Mumford-Shah Functional

Guy David

144
Citations
Reifenberg Parameterizations for Sets with Holes

Guy David;Tatiana Toro

135
Citations
Effective Confining Potential of Quantum States in Disordered Media

Douglas N. Arnold;Guy David;David Jerison;Svitlana Mayboroda

125
Citations
The Problem of the Calissons

Guy David;Carlos Tomei

101
Citations
Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant

Guy David;Carlos Kenig;Tatiana Toro

92
Citations
Quasiminimal surfaces of codimension 1 and John domains

Guy David;Stephen Semmes

85
Citations
Quantitative rectifiability and Lipschitz mappings

Guy David;Stephen Semmes

79
Citations
La solution des conjectures de Calderón

R.R Coifman;G David;Y Meyer

77
Citations
Uniform rectifiability and quasiminimizing sets of arbitrary codimension

Guy David;Stephen Semmes

69
Citations
Reifenberg flat metric spaces, snowballs, and embeddings

G. David;T. Toro

68
Citations

Frequent Co-Authors

Stephen Semmes Rice University

David Jerison MIT

Douglas N. Arnold University of Minnesota

Ronald R. Coifman Yale University

Carlos E. Kenig University of Chicago

Pertti Mattila University of Helsinki

External Links

Personal website of Guy David

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